2018
DOI: 10.1103/physreva.97.052120
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Gaussian ancillary bombardment

Abstract: We analyze in full detail the time evolution of an open Gaussian quantum system rapidly bombarded by Gaussian ancillae. As a particular case this analysis covers the thermalization (or not) of a harmonic oscillator coupled to a thermal reservoir made of harmonic oscillators. We derive general results for this scenario and apply them to the problem of thermalization. We show that only a particular family of system-environment couplings will cause the system to thermalize to the temperature of its environment. W… Show more

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Cited by 9 publications
(19 citation statements)
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“…At the more frequent values τ = 4πn/ g 2 x + 16ω 2 s , the counter-rotating contributions cancel and the system equilibrates to a Gibbs state. Let us add here that the steady-state work power (8) has an interesting behavior: besides vanishing at the thermal operation points as expected, it is suppressed in the vicinity of inversion points and is exactly zero at those points (Fig. 4).…”
Section: A Qubit System and Resonant Probe Qubitssupporting
confidence: 72%
See 1 more Smart Citation
“…At the more frequent values τ = 4πn/ g 2 x + 16ω 2 s , the counter-rotating contributions cancel and the system equilibrates to a Gibbs state. Let us add here that the steady-state work power (8) has an interesting behavior: besides vanishing at the thermal operation points as expected, it is suppressed in the vicinity of inversion points and is exactly zero at those points (Fig. 4).…”
Section: A Qubit System and Resonant Probe Qubitssupporting
confidence: 72%
“…For g x = g y = g and ω s = ω p , the system-probe interaction describes a resonant exchange of excitation that preserves the total energy. In other words, the resonant probes realize a channel of thermal operations that effectively models spin thermalization, as often noticed and exploited [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15]. This holds true for arbitrary system spin numbers J, see App.…”
Section: Study Of Gy = ±Gxmentioning
confidence: 97%
“…It is also possible to show that these states have the same populations level by level, as already predicted for harmonic oscillators in Ref. [48].…”
Section: Appendix B: Functioning Regimes and Efficiency Of The Cycle With Mediatorsupporting
confidence: 79%
“…Using recent results on Gaussian ICM [43,62] we can efficiently calculate the fixed points and convergence rates of repeated application of Φ S cell . This is achieved by straightforward application of the formalism developed in [62]. For the convenience of the reader, we provide a quick summary particularized to our setup in Appendix B.…”
Section: Non-perturbative Time-evolutionmentioning
confidence: 99%
“…This section will briefly review those well-known techniques and show how they are applied to our setup. More details on GQM and Gaussian ICM can be found in [58][59][60][61] and [43,62], respectively.…”
Section: Appendix B Gaussian Interpolated Collision Model Formalismmentioning
confidence: 99%