Quantum-Enhanced Heat Engine Based on Superabsorption

Kamimura, S.; Hakoshima, H.; Matsuzaki, Y.; Yoshida, K.; Tokura, Y.

doi:10.48550/arxiv.2106.10813

Cited by 2 publications

(3 citation statements)

References 45 publications

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“…Appendix A: Derivation of (18) We derive (18). By variable transformation s = γ(t − u), (17) becomes…”

Section: Appendix D: Calculation Of Entropy Productionmentioning

confidence: 99%

“…Time-dependent open systems have been studied actively in recent years. These studies relate to quantum pump [1][2][3][4][5][6][7][8], excess entropy production [9][10][11][12][13], efficiency and power of heat engine [14][15][16][17][18], shortcuts to adiabaticity [19,20], and speed limits [21][22][23]. In the studies of quantum pumping and excess entropy production for systems governed by the master equation, the time dependence is described using the pseudo-inverse of the Liouvillian [1-3, 5-7, 12, 13, 24].…”

Section: Introductionmentioning

confidence: 99%

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Asymptotic expansion of the solution of the master equation and its application to the speed limit

Nakajima,

Utsumi

2021

Preprint

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We investigate an asymptotic expansion of the solution of the master equation under the modulation of control parameters. In this case, the dominant part of the solution becomes the dynamical steady state expressed as an infinite series using the pseudo-inverse of the Liouvillian, whose convergence is not granted in general. We demonstrate that for the relaxation time approximation, the Borel summation of the infinite series is compatible with the exact solution. By exploiting the series expansion, we obtain the analytic expression of the heat. In the two-level system coupled to a single bath, we consider that the linear modulation of the energy as a function of time and demonstrate that the infinite series expression is the asymptotic expansion of the exact solution. The equality of a trade-off relation between the speed of the state transformation and the entropy production (Shiraishi, Funo, and Saito, Phys. Rev. Lett. 121, 070601 (2018)) holds in the lowest order of the frequency of the energy modulation in the two-level system. To obtain this result, the heat emission and absorption at edges (the initial and end times) or the differences of the Shannon entropy between the instantaneous steady state and the dynamical steady state at edges are essential: If we ignore these effects, the trade-off relation can be violated.

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“…Appendix A: Derivation of (18) We derive (18). By variable transformation s = γ(t − u), (17) becomes…”

Section: Appendix D: Calculation Of Entropy Productionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Asymptotic expansion of the solution of the master equation and its application to the speed limit

Nakajima,

Utsumi

2021

Preprint

View full text Add to dashboard Cite

show abstract

“…In recent years, studies of time-dependent open systems have been active [1]. These studies relate to quantum pumps [2,3], excess entropy production [4][5][6], the efficiency and power of heat engines [7][8][9][10], shortcuts to adiabaticity [11][12][13], and speed limits [14][15][16][17][18]. Obtaining a fundamental bound on the speed of state transformation is an important issue relevant to broad research fields including quantum control theory [19] and foundations of nonequilibrium statistical mechanics [20].…”

Section: Introductionmentioning

confidence: 99%

Speed limits of the trace distance for open quantum system

Nakajima,

Utsumi

2022

Preprint

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We investigate the speed limit of the state transformation in open quantum systems described by the Lindblad type quantum master equation. We obtain universal bounds of the total entropy production described by the trace distance between the initial and final states in the interaction picture. Beyond a previous study by Vu and Saito [Phys. Rev. Lett. 128, 010602 (2022)] applicable only to the completely mixed initial state, our results are applicable to an arbitrary initial state. Our bounds can be tighter than the bound of Vu and Hasegawa [Phys. Rev. Lett. 126, 010601 (2021)] which measures the distance by the modified Wasserstein distance dT : For a system of which Hilbert space is two-dimensional, the trace distance is greater than or equal to dT . For this reason, our results can significantly improve Vu-Hasegawa's bound.

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Quantum-Enhanced Heat Engine Based on Superabsorption

Cited by 2 publications

References 45 publications

Asymptotic expansion of the solution of the master equation and its application to the speed limit

Asymptotic expansion of the solution of the master equation and its application to the speed limit

Speed limits of the trace distance for open quantum system

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