1) The document discusses using quantum probes to indirectly extract information about complex quantum systems like ultracold atomic gases, without directly measuring the system.
2) One method is to use an impurity atom as a qubit probe immersed in a 2D Bose-Einstein condensate. Interactions between the probe and gas induce decoherence on the probe that depends on properties of the gas like dimensionality and phase fluctuations, allowing characterization of the gas.
3) The non-Markovianity of the probe's dynamics, quantified by information flow between the probe and gas, can reveal information about the gas without directly measuring it. Positive information flow indicates non-Markovian dynamics and backflow of information
Quantum Annealing for Dirichlet Process Mixture Models with Applications to N...Shu Tanaka
Our paper entitled “Quantum Annealing for Dirichlet Process Mixture Models with Applications to Network Clustering" was published in Neurocomputing. This work was done in collaboration with Dr. Issei Sato (Univ. of Tokyo), Dr. Kenichi Kurihara (Google), Professor Seiji Miyashita (Univ. of Tokyo), and Prof. Hiroshi Nakagawa (Univ. of Tokyo).
http://www.sciencedirect.com/science/article/pii/S0925231213005535
The preprint version is available:
http://arxiv.org/abs/1305.4325
佐藤一誠さん(東京大学)、栗原賢一さん(Google)、宮下精二教授(東京大学)、中川裕志教授(東京大学)との共同研究論文 “Quantum Annealing for Dirichlet Process Mixture Models with Applications to Network Clustering" が Neurocomputing に掲載されました。
http://www.sciencedirect.com/science/article/pii/S0925231213005535
プレプリントバージョンは
http://arxiv.org/abs/1305.4325
からご覧いただけます。
Network-Growth Rule Dependence of Fractal Dimension of Percolation Cluster on...Shu Tanaka
Our paper entitled “Network-Growth Rule Dependence of Fractal Dimension of Percolation Cluster on Square Lattice" was published in Journal of the Physical Society of Japan. This work was done in collaboration with Dr. Ryo Tamura (NIMS).
http://journals.jps.jp/doi/abs/10.7566/JPSJ.82.053002
NIMSの田村亮さんとの共同研究論文 “Network-Growth Rule Dependence of Fractal Dimension of Percolation Cluster on Square Lattice" が Journal of the Physical Society of Japan に掲載されました。
http://journals.jps.jp/doi/abs/10.7566/JPSJ.82.053002
Quantum Annealing for Dirichlet Process Mixture Models with Applications to N...Shu Tanaka
Our paper entitled “Quantum Annealing for Dirichlet Process Mixture Models with Applications to Network Clustering" was published in Neurocomputing. This work was done in collaboration with Dr. Issei Sato (Univ. of Tokyo), Dr. Kenichi Kurihara (Google), Professor Seiji Miyashita (Univ. of Tokyo), and Prof. Hiroshi Nakagawa (Univ. of Tokyo).
http://www.sciencedirect.com/science/article/pii/S0925231213005535
The preprint version is available:
http://arxiv.org/abs/1305.4325
佐藤一誠さん(東京大学)、栗原賢一さん(Google)、宮下精二教授(東京大学)、中川裕志教授(東京大学)との共同研究論文 “Quantum Annealing for Dirichlet Process Mixture Models with Applications to Network Clustering" が Neurocomputing に掲載されました。
http://www.sciencedirect.com/science/article/pii/S0925231213005535
プレプリントバージョンは
http://arxiv.org/abs/1305.4325
からご覧いただけます。
Network-Growth Rule Dependence of Fractal Dimension of Percolation Cluster on...Shu Tanaka
Our paper entitled “Network-Growth Rule Dependence of Fractal Dimension of Percolation Cluster on Square Lattice" was published in Journal of the Physical Society of Japan. This work was done in collaboration with Dr. Ryo Tamura (NIMS).
http://journals.jps.jp/doi/abs/10.7566/JPSJ.82.053002
NIMSの田村亮さんとの共同研究論文 “Network-Growth Rule Dependence of Fractal Dimension of Percolation Cluster on Square Lattice" が Journal of the Physical Society of Japan に掲載されました。
http://journals.jps.jp/doi/abs/10.7566/JPSJ.82.053002
Entanglement Behavior of 2D Quantum ModelsShu Tanaka
I gave an oral presentation at YITP Workshop on Quantum Information Physics (YQIP2014).
http://www2.yukawa.kyoto-u.ac.jp/~yitpqip2014.ws/index.php
This presentation is based on the following papers.
http://iopscience.iop.org/1751-8121/43/25/255303
http://prb.aps.org/abstract/PRB/v84/i24/e245128
http://pra.aps.org/abstract/PRA/v86/i3/e032326
https://www.jstage.jst.go.jp/article/iis/19/1/19_IIS190115/_article
Preprint version are available via
http://arxiv.org/abs/1003.2007
http://arxiv.org/abs/1107.3888
http://arxiv.org/abs/1207.6752
http://arxiv.org/abs/1307.1939
京都大学基礎物理学研究所で開催されたワークショップ、"YITP Workshop on Quantum Information Physics (YQIP2014)"で口頭講演を行いました。
http://www2.yukawa.kyoto-u.ac.jp/~yitpqip2014.ws/index.php
本発表は以下の論文に基づいています。
http://iopscience.iop.org/1751-8121/43/25/255303
http://prb.aps.org/abstract/PRB/v84/i24/e245128
http://pra.aps.org/abstract/PRA/v86/i3/e032326
https://www.jstage.jst.go.jp/article/iis/19/1/19_IIS190115/_article
プレプリントバージョンは、以下のサイトから閲覧できます。
http://arxiv.org/abs/1003.2007
http://arxiv.org/abs/1107.3888
http://arxiv.org/abs/1207.6752
http://arxiv.org/abs/1307.1939
Neutral Electronic Excitations: a Many-body approach to the optical absorptio...Claudio Attaccalite
Neutral Electronic Excitations: a Many-body approach to the optical absorption spectra.
Introduction to Bethe-Salpeter equation and linear response theory.
ON OPTIMIZATION OF MANUFACTURING OF MULTICHANNEL HETEROTRANSISTORS TO INCREAS...ijrap
In this paper we consider an approach to increase integration rate of field-effect heterotransistors. Framework
the approach we consider a heterostructure with specific configuration. After manufacturing the
heterostructure we consider doping of required areas of the heterostructure by diffusion or ion implantation.
The doping finished by optimized annealing of dopant and/or radiation defects. Framework this paper
we consider a possibility to manufacture with several channels. Manufacturing multi-channel transistors
gives us a possibility the to increase integration rate of transistors and to increase electrical current
through the transistor.
Entanglement Behavior of 2D Quantum ModelsShu Tanaka
I gave an oral presentation at YITP Workshop on Quantum Information Physics (YQIP2014).
http://www2.yukawa.kyoto-u.ac.jp/~yitpqip2014.ws/index.php
This presentation is based on the following papers.
http://iopscience.iop.org/1751-8121/43/25/255303
http://prb.aps.org/abstract/PRB/v84/i24/e245128
http://pra.aps.org/abstract/PRA/v86/i3/e032326
https://www.jstage.jst.go.jp/article/iis/19/1/19_IIS190115/_article
Preprint version are available via
http://arxiv.org/abs/1003.2007
http://arxiv.org/abs/1107.3888
http://arxiv.org/abs/1207.6752
http://arxiv.org/abs/1307.1939
京都大学基礎物理学研究所で開催されたワークショップ、"YITP Workshop on Quantum Information Physics (YQIP2014)"で口頭講演を行いました。
http://www2.yukawa.kyoto-u.ac.jp/~yitpqip2014.ws/index.php
本発表は以下の論文に基づいています。
http://iopscience.iop.org/1751-8121/43/25/255303
http://prb.aps.org/abstract/PRB/v84/i24/e245128
http://pra.aps.org/abstract/PRA/v86/i3/e032326
https://www.jstage.jst.go.jp/article/iis/19/1/19_IIS190115/_article
プレプリントバージョンは、以下のサイトから閲覧できます。
http://arxiv.org/abs/1003.2007
http://arxiv.org/abs/1107.3888
http://arxiv.org/abs/1207.6752
http://arxiv.org/abs/1307.1939
Neutral Electronic Excitations: a Many-body approach to the optical absorptio...Claudio Attaccalite
Neutral Electronic Excitations: a Many-body approach to the optical absorption spectra.
Introduction to Bethe-Salpeter equation and linear response theory.
ON OPTIMIZATION OF MANUFACTURING OF MULTICHANNEL HETEROTRANSISTORS TO INCREAS...ijrap
In this paper we consider an approach to increase integration rate of field-effect heterotransistors. Framework
the approach we consider a heterostructure with specific configuration. After manufacturing the
heterostructure we consider doping of required areas of the heterostructure by diffusion or ion implantation.
The doping finished by optimized annealing of dopant and/or radiation defects. Framework this paper
we consider a possibility to manufacture with several channels. Manufacturing multi-channel transistors
gives us a possibility the to increase integration rate of transistors and to increase electrical current
through the transistor.
We present an ab-initio real-time based computational approach to nonlinear optical properties in Condensed Matter systems. The equation of mot ions, and in particular the coupling of the electrons with the external electric field, are derived from the Berry phase formulation of the dynamical polarization. The zero-field Hamiltonian includes crystal local field effects, the renormalization of the independent particle energy levels by correlation and excitonic effects within the screened Hartree- Fock self-energy operator. The approach is validated by calculating the second-harmonic generation of SiC and AlAs bulk semiconductors : an excellent agreement is obtained with existing ab-initio calculations from response theory in frequency domain . We finally show applications to the second-harmonic generation of CdTe the third-harmonic generation of Si.
Reference :
Real-time approach to the optical properties of solids and nanostructures : Time-dependent Bethe-alpeter equation Phys. Rev. B 84, 245110 (2011)
Nonlinear optics from ab-initio by means of the dynamical Berry-phase
C. Attaccalite and M. Gruning Phys. Rev. B 88 (23), 235113 (2013)
In this second lecture, I will discuss how to calculate polarization in terms of Berry phase, how to include GW correction in the real-time dynamics and electron-hole interaction.
ON DECREASING OF DIMENSIONS OF FIELDEFFECT TRANSISTORS WITH SEVERAL SOURCESmsejjournal
We analyzed mass and heat transport during manufacturing field-effect heterotransistors with several sources to decrease their dimensions. Framework the result of manufacturing it is necessary to manufacture heterostructure with specific configuration. After that it is necessary to dope required areas of the heterostructure by diffusion or ion implantation to manufacture the required type of conductivity (p or n). After
the doping it is necessary to do optimize annealing. We introduce an analytical approach to prognosis mass
and heat transport during technological processes. Using the approach leads to take into account nonlinearity of mass and heat transport and variation in space and time (at one time) physical parameters of these processes
ON DECREASING OF DIMENSIONS OF FIELDEFFECT TRANSISTORS WITH SEVERAL SOURCESmsejjournal
We analyzed mass and heat transport during manufacturing field-effect heterotransistors with several
sources to decrease their dimensions. Framework the result of manufacturing it is necessary to manufacture
heterostructure with specific configuration. After that it is necessary to dope required areas of the heterostructure by diffusion or ion implantation to manufacture the required type of conductivity (p or n). After
the doping it is necessary to do optimize annealing. We introduce an analytical approach to prognosis mass
and heat transport during technological processes. Using the approach leads to take into account nonlinearity of mass and heat transport and variation in space and time (at one time) physical parameters of these
processes
On Decreasing of Dimensions of Field-Effect Transistors with Several Sourcesmsejjournal
We analyzed mass and heat transport during manufacturing field-effect heterotransistors with several
sources to decrease their dimensions. Framework the result of manufacturing it is necessary to manufacture
heterostructure with specific configuration. After that it is necessary to dope required areas of the heterostructure by diffusion or ion implantation to manufacture the required type of conductivity (p or n). After
the doping it is necessary to do optimize annealing. We introduce an analytical approach to prognosis mass
and heat transport during technological processes. Using the approach leads to take into account nonlinearity of mass and heat transport and variation in space and time (at one time) physical parameters of these
processes
Invited Seminar presented at the VIA Forum Astroparticle Physics Forum COSMOVIA
21 March 2020
http://viavca.in2p3.fr/2010c_o_s_m_o_v_i_a__forum_sd24fsdf4zerfzef4ze5f4dsq34sdteerui45788789745rt7yr68t4y54865h45g4hfg56h45df4h86d48h48t7uertujirjtiorjhuiofgrdsqgxcvfghfg5h40yhuyir/viewtopic.php?f=73&t=3705&sid=c56cbf76f87536fc4c3ff216d9edaba2
Author: O.M. Lecian
Speaker: O.M. Lecian
Abstract: The LHAASO experiment is aimed at detecting highly-energetic particles of cosmological origin within a large
range of energies.
The sensitivity of the experimental apparatus can within the frameworks of statistical fluctuations of the
background.
Acceleration and lower-energy particles can be analyzed.
The anisotropy mass composition of cosmic rays can analytically described.
The LHAASO Experiment is also suited for detecting particles of cosmological origin originated from the breach
(and/or other kinds of modifications) of particle theories paradigms comprehending other symmetry groups.
Some physical implications of anisotropies can be looked for.
The study of anisotropy distribution for particles of cosmological origin as well as the anisotropies of their velocities
both in the case of a flat Minkowskian background as well as in the case of curved space-time can be investigated,
as far as the theoretical description of the cross-section is concerned, as well as for the theoretical expressions of
such quantities to be analyzed.
The case of a geometrical phase of particles can be schematized by means of a geometrical factor.
Particular solutions are found under suitable approximations.
A comparison with the study of ellipsoidal galaxies is achieved.
The case of particles with anisotropies in velocities falling off faster than dark matter (DM) is compared.
The study of possible anisotropies in the spatial distribution of cosmological particles can therefore be described
also deriving form the interaction of cosmic particles with the gravitational field, arising at quantum distances, at
the semiclassical level and at the classical scales, within the framework of the proper description of particles
anisotropies properties.
ON APPROACH OF OPTIMIZATION OF FORMATION OF INHOMOGENOUS DISTRIBUTIONS OF DOP...ijcsa
We introduce an approach of manufacturing of a field-effect heterotransistor with inhomogenous doping of channel. The inhomogenous distribution of concentration of dopant gives a possibility to change speed of transport of charge carriers and to decrease length of channel.
Non-interacting and interacting Graphene in a strong uniform magnetic fieldAnkurDas60
We study monolayer graphene in a uniform magnetic field in the absence and presence of interactions. In the non-interacting limit for p/q flux quanta per unit cell, the central two bands have 2q Dirac points in the Brillouin zone in the nearest-neighbor model. These touchings and their locations are guaranteed by chiral symmetry and the lattice symmetries of the honeycomb structure. If we add a staggered potential and a next nearest neighbor hopping we find their competition leads to a topological phase transition. We also study the stability of the Dirac touchings to one-body perturbations that explicitly lowers the symmetry.
In the interacting case, we study the phases in the strong magnetic field limit. We consider on-site Hubbard and nearest-neighbor Heisenberg interactions. In the continuum limit, the theory has been studied before [1]. It has been found that there are four competing phases namely, ferromagnetic, antiferromagnetic, charge density wave, and Kekulé distorted phases. We find phase diagrams for q=3,4,5,6,9,12 where some of the phases found in the continuum limit are co-existent in the lattice limit with some phases not present in the continuum limit.
[1] M. Kharitonov PRB 85, 155439 (2012)
*NSF DMR-1306897
NSF DMR-1611161
US-Israel BSF 2016130
Accelerate your Kubernetes clusters with Varnish CachingThijs Feryn
A presentation about the usage and availability of Varnish on Kubernetes. This talk explores the capabilities of Varnish caching and shows how to use the Varnish Helm chart to deploy it to Kubernetes.
This presentation was delivered at K8SUG Singapore. See https://feryn.eu/presentations/accelerate-your-kubernetes-clusters-with-varnish-caching-k8sug-singapore-28-2024 for more details.
Smart TV Buyer Insights Survey 2024 by 91mobiles.pdf91mobiles
91mobiles recently conducted a Smart TV Buyer Insights Survey in which we asked over 3,000 respondents about the TV they own, aspects they look at on a new TV, and their TV buying preferences.
LF Energy Webinar: Electrical Grid Modelling and Simulation Through PowSyBl -...DanBrown980551
Do you want to learn how to model and simulate an electrical network from scratch in under an hour?
Then welcome to this PowSyBl workshop, hosted by Rte, the French Transmission System Operator (TSO)!
During the webinar, you will discover the PowSyBl ecosystem as well as handle and study an electrical network through an interactive Python notebook.
PowSyBl is an open source project hosted by LF Energy, which offers a comprehensive set of features for electrical grid modelling and simulation. Among other advanced features, PowSyBl provides:
- A fully editable and extendable library for grid component modelling;
- Visualization tools to display your network;
- Grid simulation tools, such as power flows, security analyses (with or without remedial actions) and sensitivity analyses;
The framework is mostly written in Java, with a Python binding so that Python developers can access PowSyBl functionalities as well.
What you will learn during the webinar:
- For beginners: discover PowSyBl's functionalities through a quick general presentation and the notebook, without needing any expert coding skills;
- For advanced developers: master the skills to efficiently apply PowSyBl functionalities to your real-world scenarios.
Dev Dives: Train smarter, not harder – active learning and UiPath LLMs for do...UiPathCommunity
💥 Speed, accuracy, and scaling – discover the superpowers of GenAI in action with UiPath Document Understanding and Communications Mining™:
See how to accelerate model training and optimize model performance with active learning
Learn about the latest enhancements to out-of-the-box document processing – with little to no training required
Get an exclusive demo of the new family of UiPath LLMs – GenAI models specialized for processing different types of documents and messages
This is a hands-on session specifically designed for automation developers and AI enthusiasts seeking to enhance their knowledge in leveraging the latest intelligent document processing capabilities offered by UiPath.
Speakers:
👨🏫 Andras Palfi, Senior Product Manager, UiPath
👩🏫 Lenka Dulovicova, Product Program Manager, UiPath
UiPath Test Automation using UiPath Test Suite series, part 3DianaGray10
Welcome to UiPath Test Automation using UiPath Test Suite series part 3. In this session, we will cover desktop automation along with UI automation.
Topics covered:
UI automation Introduction,
UI automation Sample
Desktop automation flow
Pradeep Chinnala, Senior Consultant Automation Developer @WonderBotz and UiPath MVP
Deepak Rai, Automation Practice Lead, Boundaryless Group and UiPath MVP
GDG Cloud Southlake #33: Boule & Rebala: Effective AppSec in SDLC using Deplo...James Anderson
Effective Application Security in Software Delivery lifecycle using Deployment Firewall and DBOM
The modern software delivery process (or the CI/CD process) includes many tools, distributed teams, open-source code, and cloud platforms. Constant focus on speed to release software to market, along with the traditional slow and manual security checks has caused gaps in continuous security as an important piece in the software supply chain. Today organizations feel more susceptible to external and internal cyber threats due to the vast attack surface in their applications supply chain and the lack of end-to-end governance and risk management.
The software team must secure its software delivery process to avoid vulnerability and security breaches. This needs to be achieved with existing tool chains and without extensive rework of the delivery processes. This talk will present strategies and techniques for providing visibility into the true risk of the existing vulnerabilities, preventing the introduction of security issues in the software, resolving vulnerabilities in production environments quickly, and capturing the deployment bill of materials (DBOM).
Speakers:
Bob Boule
Robert Boule is a technology enthusiast with PASSION for technology and making things work along with a knack for helping others understand how things work. He comes with around 20 years of solution engineering experience in application security, software continuous delivery, and SaaS platforms. He is known for his dynamic presentations in CI/CD and application security integrated in software delivery lifecycle.
Gopinath Rebala
Gopinath Rebala is the CTO of OpsMx, where he has overall responsibility for the machine learning and data processing architectures for Secure Software Delivery. Gopi also has a strong connection with our customers, leading design and architecture for strategic implementations. Gopi is a frequent speaker and well-known leader in continuous delivery and integrating security into software delivery.
Transcript: Selling digital books in 2024: Insights from industry leaders - T...BookNet Canada
The publishing industry has been selling digital audiobooks and ebooks for over a decade and has found its groove. What’s changed? What has stayed the same? Where do we go from here? Join a group of leading sales peers from across the industry for a conversation about the lessons learned since the popularization of digital books, best practices, digital book supply chain management, and more.
Link to video recording: https://bnctechforum.ca/sessions/selling-digital-books-in-2024-insights-from-industry-leaders/
Presented by BookNet Canada on May 28, 2024, with support from the Department of Canadian Heritage.
UiPath Test Automation using UiPath Test Suite series, part 4DianaGray10
Welcome to UiPath Test Automation using UiPath Test Suite series part 4. In this session, we will cover Test Manager overview along with SAP heatmap.
The UiPath Test Manager overview with SAP heatmap webinar offers a concise yet comprehensive exploration of the role of a Test Manager within SAP environments, coupled with the utilization of heatmaps for effective testing strategies.
Participants will gain insights into the responsibilities, challenges, and best practices associated with test management in SAP projects. Additionally, the webinar delves into the significance of heatmaps as a visual aid for identifying testing priorities, areas of risk, and resource allocation within SAP landscapes. Through this session, attendees can expect to enhance their understanding of test management principles while learning practical approaches to optimize testing processes in SAP environments using heatmap visualization techniques
What will you get from this session?
1. Insights into SAP testing best practices
2. Heatmap utilization for testing
3. Optimization of testing processes
4. Demo
Topics covered:
Execution from the test manager
Orchestrator execution result
Defect reporting
SAP heatmap example with demo
Speaker:
Deepak Rai, Automation Practice Lead, Boundaryless Group and UiPath MVP
The Art of the Pitch: WordPress Relationships and SalesLaura Byrne
Clients don’t know what they don’t know. What web solutions are right for them? How does WordPress come into the picture? How do you make sure you understand scope and timeline? What do you do if sometime changes?
All these questions and more will be explored as we talk about matching clients’ needs with what your agency offers without pulling teeth or pulling your hair out. Practical tips, and strategies for successful relationship building that leads to closing the deal.
Neuro-symbolic is not enough, we need neuro-*semantic*Frank van Harmelen
Neuro-symbolic (NeSy) AI is on the rise. However, simply machine learning on just any symbolic structure is not sufficient to really harvest the gains of NeSy. These will only be gained when the symbolic structures have an actual semantics. I give an operational definition of semantics as “predictable inference”.
All of this illustrated with link prediction over knowledge graphs, but the argument is general.
GraphRAG is All You need? LLM & Knowledge GraphGuy Korland
Guy Korland, CEO and Co-founder of FalkorDB, will review two articles on the integration of language models with knowledge graphs.
1. Unifying Large Language Models and Knowledge Graphs: A Roadmap.
https://arxiv.org/abs/2306.08302
2. Microsoft Research's GraphRAG paper and a review paper on various uses of knowledge graphs:
https://www.microsoft.com/en-us/research/blog/graphrag-unlocking-llm-discovery-on-narrative-private-data/
1. Quantum probes versus
direct measurements
What do we gain?
Sabrina Maniscalco
S.Maniscalco@hw.ac.uk
Institute of Photonics and Quantum Sciences
Heriot-Watt University
Edinburgh
18. Open Quantum Systems
trapped ions quantum simulator
An open-system quantum simulator with trapped ions, Julio T. Barreiro, Markus Müller,
Philipp Schindler, Daniel Nigg, Thomas Monz, Michael Chwalla, Markus Hennrich,
Christian F. Roos, Peter Zoller and Rainer Blatt, Nature 470 , 486-491 (2011)
19. Dirac Equation
trapped ions quantum simulator
Quantum simulation of the Dirac equation
R. Gerritsma, G. Kirchmair, F. Zähringer, E. Solano, R. Blatt and C.F. Roos, Nature 463, 68 (2010)
20. 2D Ising Model
trapped ions quantum simulator
100 N 350
Engineered two-dimensional Ising interactions in a trapped-ion quantum simulator with hundreds of spins
J.W. Britton, B.C. Sawyer, A.C. Keith, C.-C.J. Wang, J.K. Freericks, H. Uys, M.J. Biercuk, and J.J. Bollinger,
Nature 484, 489 (2012)
46. Non-Markovian dynamics
t,0
6=
t,s
s,0
Entanglement and Non-Markovianity of Quantum Evolutions
Ángel Rivas, Susana F. Huelga, and Martin B. Plenio
Phys. Rev. Lett. 105, 050403 (2010)
On the degree of non-Markovianity of quantum evolution
Dariusz Chruściński, Sabrina Maniscalco
arXiv:1311.4213, in press in Phys. Rev. Lett.
50. Quantum information and distinguishability
between quantum states
Increase of information
Increase of distinguishability
Measure for the Degree of Non-Markovian Behavior of Quantum Processes in Open Systems
H.-P. Breuer, E.-M. Laine, and J. Piilo, Phys. Rev. Lett. 103, 210401 (2009)
Measure for the non-Markovianity of quantum processes, Elsi-Mari Laine, Jyrki Piilo, and Heinz-Peter Breuer
Phys. Rev. A 81, 062115 (2010)
51. Quantum information and distinguishability
between quantum states
Decrease of information
Decrease of distinguishability
52. Distinguishability between
two states of the Q probe
1
D(⇢1 , ⇢2 ) = Tr|⇢1
2
⇢2 |,
Rate of change of
distinguishability
d
(t, ⇢1,2 (0)) = D(⇢1 (t), ⇢2 (t))
dt
53. Markovian dynamics
(t, ⇢1,2 (0)) 0
at all times
Non-Markovian dynamics
(t, ⇢1,2 (0)) > 0
for some time
intervals
54. MAXIMUM
Information
Backflow
N ( ) = max
⇢1,2 (0)
Z
dt (t, ⇢1,2 (0))
>0
Measure for the Degree of Non-Markovian Behavior of Quantum Processes in Open Systems
H.-P. Breuer, E.-M. Laine, and J. Piilo, Phys. Rev. Lett. 103, 210401 (2009)
Measure for the non-Markovianity of quantum processes, Elsi-Mari Laine, Jyrki Piilo, and Heinz-Peter Breuer
Phys. Rev. A 81, 062115 (2010)
55. MAXIMUM
Information Backflow
NC =
NQ =
Z
Z
C (t)dt
C >0
Q (t)dt
Q >0
Non-Markovianity and reservoir memory: A quantum information theory perspective
B. Bylicka, D. Chruściński, S. Maniscalco, arXiv:1301.2585
67. Immersed probe
atomic quantum dot
Atomic Quantum Dots Coupled to a Reservoir of a Superfluid Bose-Einstein Condensate
A. Recati, P. O. Fedichev, W. Zwerger, J. von Delft, and P. Zoller,
Phys. Rev. Lett. 94, 040404 (2005)
Probing BEC phase fluctuations with atomic quantum dots
M. Bruderer, and D. Jaksch, New J. Phys. 8, 87 (2006)
68. Immersed probe
atomic quantum dot
Atomic Quantum Dots Coupled to a Reservoir of a Superfluid Bose-Einstein Condensate
A. Recati, P. O. Fedichev, W. Zwerger, J. von Delft, and P. Zoller,
Phys. Rev. Lett. 94, 040404 (2005)
Probing BEC phase fluctuations with atomic quantum dots
M. Bruderer, and D. Jaksch, New J. Phys. 8, 87 (2006)
69. 4
Impurity atom
VA x
2L
2D
BEC
p
VB x
Figure 1. A Bose–Einstein condensate (yellow region) co
harmonic trap VB (x) interacts with cold impurity atoms each
Quantifying, characterizing and controlling information flow circle). The distance b
in a double well Haikka, S. McEndoo,A (x) (grey in ultracoldS.atomic gases
potential V G. De Chiara, M. Palma, and Maniscalco,
P.
Phys. Rev. A 84, 031602R (2011)
the same trap is 2L and the distance between adjacent traps
70. 4
Impurity atom
VA x
2L
2D
BEC
VB x
Figure 1. A Bose–Einstein condensate (yellow region) confin
harmonic trap VB (x) interacts with cold impurity atoms each of
in a double well potential V A (x) (grey circle). The distance betw
the same trap is 2L and the distance between adjacent traps is 2
QUANTUM PROBE
HA =
Z
HB =
describes the interactions between the impurities and the bath; here gAB =
is the coupling constant of impurities–gas interaction, with aAB the scatteri
impurities–gas collisions and m AB = m A m B /(m A + m B ) their reduced mass. B
bath atoms are described in the second-quantized formalism. The field operat
impurities
⇧
ˆ
⌥(x) =
ai, p ⇧i, p (x)
ˆ
p2
A
d3 x ˆ † (x)
+ VA (x) ˆ (x)
2mA
QUANTUM GAS
Z
i, p
can be decomposed in terms of the real eigenstates ⇧i, p (x) of impurity atoms
double well i of the potential VA (x) in the p th state, with energy h ⌅i, p and th
¯
annihilation operator ai, p . We assume that the wavefunctions of different dou
ˆ
negligible common support, i.e. ⇧i, p (x)⇧ j⌅=i,m (x) ⇤ 0 at any position x.
We treat the gas of bosons following Bogoliubov’s approach (see, for in
assuming a very shallow trapping potential VB (x), such that the bosonic gas c
homogeneous. In the degenerate regime, the bosonic field can be decomposed
⇧
⌃
⌃
⇥
ˆ
ˆ
⌃(x) = N0 ⌃0 (x) + ⌃(x) = N0 ⌃0 (x) +
u k (x)ˆ k vk (
c
p2
gB ˆ †
3 ˆ†
B
d x (x)
+ VB (x) +
(x) ˆ (x) ˆ (x)
2mB
2
INTERACTION
HAB = gAB
Z
k
where ⌃0 (x) is the condensate wave function (or order parameter), N0 < N
atoms in the condensate and ck , ck are the annihilation and creation operators o
ˆ ˆ†
⇧
modes with momentum k. For a homogeneous condensate ⌃0 (x) = 1/ V , V b
Its Bogoliubov modes
⌥ ⇤
⌅ ik·x
1 ⇥k + n 0 gB
e
uk =
+1 ⇧ ,
2
Ek
V
d3 x ˆ (x) ˆ † (x) ˆ (x) ˆ (x)
⌥ ⇤
1 ⇥k + n 0 gB
vk =
2
Ek
⌅ ik·x
e
1 ⇧
V
71. Qubit Probe
|Li |Ri
4
Impurity atom
VA x
2L
2D
BEC
p
VB x
Figure 1. A Bose–Einstein condensate (yellow region) co
Pure DEPHASING
harmonic trap VB (x) interacts with cold impurity atoms each
in a double well potential V A (x) (grey circle). The distance b
the same trap is 2L and the distance between adjacent traps
72. fo
4
a background gas particle. Furthermore, gk and ξk are
te
x
coupling constants that depend on the spatial form Vof the
p
states |L and |R and on the shape of the Bogoliubov
e
modes. Their specific form is elaborated in Ref. [13].
is
V
When the background gas is at zero temperature the xreA
condensate (yellow
duced dynamics of the impurity atom harmonic trapBose–Einstein (x) (grey circle). Theatoms eachth
is capturedwith cold impurity region) confin
V (x) interacts by the
of
in a double well potential V
distance betw
N
the same trap
following time-local master equation (ME):is 2L and the distance between adjacent traps is 2
F
describes the interactions between the impurities and the bath; here g =
is the coupling constant of impurities–gas interaction, with a the scatteri
if
(t)
dρ(t)
impurities–gas 1
collisions and m = m m /(m + m ) their reduced mass. B
⇢ij (t) = e z , ρ] + γ(t)[σz ρ(t)σatoms are describedzinσzsecond-quantized formalism. The field operat
⇢ij (0) bath z − {σ the , ρ(t)}]. (2) M
= Λ(t)[σ
impurities
dt
2 ⇧ aˆ ⇧ (x)
p
ˆ
⌥(x) =
p
Z t renormalizes the can be decomposed in termstherealqubit⇧ but atoms
eigenstates
(x) of impurity
Quantity Λ(t)
energy potentialofV the in the p state, with energy h¯ ⌅ andv
double well i of the of
(x)
th
annihilation operator a . We assume that the wavefunctions of different dou
ˆ
(t) qualitative (s) on the dissipativebosons ⇧following Bogoliubov’sany position(see, form
ds effect
negligible common support,dynamics. Ini.e.
(x)⇧
(x) ⇤ 0 at
x.
has no =
We treat the gas of
approach
in
assuming very
potential (x), such that
0 work we are interested a in shallow trappingregime, theVbosonic field canthe bosonic gasis
stead in this
the decay rate be decomposedc
homogeneous. In the degenerate
⇧
⌃
⌃
ˆ
ˆ
⌃(x) = N ⌃ (x) + ⌃(x) = N ⌃ (x) +
u (x)ˆ a(
c
v
2
dk sin2 (k · L) where ⌃ (x) is thek t/¯ )wave function 2 τorder parameter), N < N
sin(E condensate −k (or 2 /2
h
4gAB n0
atoms in the condensate and c , c aree annihilation and creation operators o
ˆ ˆ
the
,(x) = 1/⇧V , Vob
γ(t) =
(D)
modes with momentum k. For a homogeneous condensate ⌃
h
¯
(2π)D
n
Its Bogoliubov modes
+ 2gB nD
k
⌥ ⇤
⌅
1 ⇥ +n g
e
th
u =
+1 ⇧ ,
(3)
2
E
V
⌥ ⇤
q
⌅
1 ⇥ +n g
e
A
Impurity atom
2L
2D
BEC
B
Figure 1.
B
A
AB
AB
AB
A
B
A
B
i, p i, p
i, p
i, p
th
A
i, p
i, p
i, p
j⌅=i,m
B
0
0
0
k
0
k
k
0
0
†
k
k
0
k
k
vk =
0 B
ik·x
k
k
2
0 B
Ek
ik·x
1 ⇧
V
⇥
k
73. Non-Markovianity: information flow
Ndeph
recoherence:
3D
information backflow
2D
1D
aB /aRb
FIG. 2. (Color online) Non-Markovianity measure Ndeph as
information lost in background gas aB
a function of the scattering length of the the environment
when the background gas is three dimensional (red dashed
line), quasi-two dimensional (blue dotted line) and quasi-one
decoherence:
that the d
reversed.
Conclu
in an ultr
mersed in
how preci
fects the p
s
the manip
tion flux.
tally acce
regimes,
tion back
for inform
fundamen
quantum
for the re
This w
74. Ndeph
3D
2D
1D
aB /aRb
FIG. 2. (Color online) Non-Markovianity measure Ndeph as
a function of the scattering length of the background gas aB
when the background gas is three dimensional (red dashed
line), quasi-two dimensional (blue dotted line) and quasi-one
dimensional (black solid line). The inset shows a longer range
of the scattering length aB . In all figures the well separation
Markovian to non-Markovian crossover
that the d
reversed.
Conclu
in an ultr
mersed in
how preci
fects the s
the manip
p
tion flux.
tally acce
regimes,
tion back
for inform
fundamen
quantum
for the re
This w
dation, th
MICINN
75. Ndeph
3D
2D
1D
aB /aRb
FIG. 2. (Color online) Non-Markovianity measure Ndeph as
a function of the scattering length of the background gas aB
when the background gas is three dimensional (red dashed
line), quasi-two dimensional (blue dotted line) and quasi-one
dimensional (black solid line). The inset shows a longer range
of the scattering length aB . In all figures the well separation
3D
2D
1D
that the d
reversed.
Conclu
in an ultr
mersed in
how preci
fects the s
the manip
p
tion flux.
tally acce
regimes,
tion back
for inform
fundamen
quantum
for the re
This w
dation, th
MICINN
79. Hamiltonian of the spin chain
H( ) =
J
X
z z
j j+1
+
x
j
j
Quantum phase transition
/J ⌧ 1
/J = 1
/J
1
critical point
(anti)ferromagnetic
paramagnetic
80. Ising model
trapped ions quantum simulator
16 spins quantum simulator
H=J
X
i>j
x x
cij i j
X
y
i
i
Emergence and Frustration of Magnetism with Variable-Range Interactions in a Quantum Simulator,
R. Islam, C. Senko, W.C. Campbell, S. Korenblit, J. Smith, A. Lee, E.E. Edwards, J.C.C. Wang, J.K. Freericks, C. Monroe,
Science, 340, 583 (2013)
99. N ions in a linear trap
⌫T
transverse trap frequency
⌫C critical frequency
100. ⌫ T > ⌫C
⌫T = ⌫C
⌫ T < ⌫C
critical point
phase transition
101. 16 ions in a linear trap - Mainz experiment
Observation of the Kibble–Zurek scaling law for defect formation in ion crystals
S. Ulm et al
Nature Communications 4, 2290 (2013)
111. 100 ions
1000 ions
critical point
M. Borrelli, P. Haikka, G. De Chiara, S. Maniscalco, Phys. Rev. A 88, 010101(R) (2013)
112. long range interaction
Ion crystal
1000
short range interaction
Ising model
800
600
N
N 6= 0
400
200
structural phase transition
quantum phase transition