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- 1. Novel approaches to optomechanical transduction Ondřej Černotík and Klemens Hammerer Institute for Theoretical Physics, Leibniz University Hannover, Germany APS March Meeting New Orleans, 16 March 2017
- 2. Ondrej Cernotík (Hannover): Novel approaches to optomechanical transductionˇˇ Superconducting systems are among the best candidates for quantum computers. 2 R. Schoelkopf Light is ideal for quantum communication owing to low losses and noise. A. Zeilinger
- 3. Ondrej Cernotík (Hannover): Novel approaches to optomechanical transductionˇˇ Mechanical oscillators can mediate coupling between microwaves and light. 3 R. Andrews et al., Nature Phys. 10, 321 (2014)a1,out a2,outa2,in a1,in a1 a2 g2 g1 b H = g1(a† 1b + b† a1) + g2(a† 2b + b† a2) ˙a(t) = Aa(t) + Bain(t) aout(t) = Ca(t) + Dain(t) aout(!) = S(!)ain(!) = [D C(A + i!1)B]ain(!)
- 4. Ondrej Cernotík (Hannover): Novel approaches to optomechanical transductionˇˇ Mechanical oscillators can mediate coupling between microwaves and light. 4 R. Andrews et al., Nature Phys. 10, 321 (2014)a1,out a2,outa2,in a1,in a1 a2 g2 g1 b H = g1(a† 1b + b† a1) + g2(a† 2b + b† a2) g2 1 1 + g2 2 2 ⌧ i L. Tian, PRL 108, 153604 (2012) Y.-D. Wang and A.A. Clerk, PRL 108, 153603 (2012) g2 1 1 = g2 2 2 Impedance matching i ⌧ !mResolved-sideband regime Strong cooperativity Ci = 4g2 i i ¯n 1
- 5. Ondrej Cernotík (Hannover): Novel approaches to optomechanical transductionˇˇ 5 Better performance can be achieved by optimizing for a speciﬁc task. - O. Cernotík and K. Hammerer, PRA 94, 012340 (2016)ˇ | 0i = (|0i + |1i)(|0i + |1i) ! 8 < : |00i |11i |01i + |10i / h 1 z + 2 zi
- 6. Ondrej Cernotík (Hannover): Novel approaches to optomechanical transductionˇˇ 6 We can also use new designs to improve efﬁciency and bandwidth. z H = g1(z)(a† 1b + b† a1) + g2(z)(a† 2b + b† a2)
- 7. Ondrej Cernotík (Hannover): Novel approaches to optomechanical transductionˇˇ g1 g2 7 Highly efﬁcient transduction is possible using adiabatic state transfer. L. Tian, PRL 108, 153604 (2012) Y.-D. Wang and A.A. Clerk, PRL 108, 153603 (2012) z H = q g2 1(z) + g2 2(z)(d† 1b + b† d1) d1 = 1 p g2 1(z) + g2 2(z) [g1(z)a1 + g2(z)a2] d2 = 1 p g2 1(z) + g2 2(z) [g2(z)a1 g1(z)a2]
- 8. Ondrej Cernotík (Hannover): Novel approaches to optomechanical transductionˇˇ 8 Transducer bandwidth can be increased by increasing the array size.
- 9. Ondrej Cernotík (Hannover): Novel approaches to optomechanical transductionˇˇ 9 Reﬂection from a large number of cavities introduces a phase shift.
- 10. Ondrej Cernotík (Hannover): Novel approaches to optomechanical transductionˇˇ 10 High conversion efﬁciency is possible in presence of losses and noise. ¯n ⌧ gi 4g2 i i ¯n 1 4g2 i i ¯n 1 i ⌧ !m i ⌧ !m i, ! ⌧ !m i ⌧ gi int ⌧ i ( int ⌧ i prop ⌧ g2 i i Temporal adiabatic Single transducer Transducer array Mechanical noise Counterrotating terms Optical losses
- 11. Ondrej Cernotík (Hannover): Novel approaches to optomechanical transductionˇˇ 11 We must also limit backscattering. RL ⌘ = L R ⌧ 1Needs
- 12. Ondrej Cernotík (Hannover): Novel approaches to optomechanical transductionˇˇ 12 Transducer array is an interesting platform for frequency conversion. + Large bandwidth + Multimode operation - Needs an array - Phase shift
- 13. Ondrej Cernotík (Hannover): Novel approaches to optomechanical transductionˇˇ 13 Generalizations of the system are possible. • Continuum implementation P. Rakich and F. Marquadt, arXiv:1610.03012 H. Zoubi and K. Hammerer, PRA 94, 053827 (2016) • Spatially adiabatic dynamics