Quantum Jarzynski Equality in Open Quantum Systems from the One-Time Measurement Scheme

Sone, Akira; Liu, Yixiang; Cappellaro, Paola

doi:10.1103/physrevlett.125.060602

Cited by 50 publications

(37 citation statements)

References 42 publications

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“…In ref. [23,25], the lower bound in Equation (32) was understood as some contribution to the usable work that would have been destroyed by a second projective measurement. Yet, a transparent interpretation is lacking.…”

Section: Ergotropy From Conditional Thermal Statesmentioning

confidence: 99%

“…Exploiting this approach [ 20 , 21 , 22 ], we define the geometric relative entropy . With this, it becomes particularly transparent to characterize the one-time measurement approach to quantum work [ 23 , 24 , 25 , 26 , 27 ]. In this paradigm, work is determined by first measuring the energy of the system, and then letting it evolve under time-dependent dynamics.…”

Section: Introductionmentioning

confidence: 99%

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Quantum and Classical Ergotropy from Relative Entropies

Sone

Deffner

2021

Entropy

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The quantum ergotropy quantifies the maximal amount of work that can be extracted from a quantum state without changing its entropy. Given that the ergotropy can be expressed as the difference of quantum and classical relative entropies of the quantum state with respect to the thermal state, we define the classical ergotropy, which quantifies how much work can be extracted from distributions that are inhomogeneous on the energy surfaces. A unified approach to treat both quantum as well as classical scenarios is provided by geometric quantum mechanics, for which we define the geometric relative entropy. The analysis is concluded with an application of the conceptual insight to conditional thermal states, and the correspondingly tightened maximum work theorem.

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Section: Ergotropy From Conditional Thermal Statesmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Quantum and Classical Ergotropy from Relative Entropies

Sone

Deffner

2021

Entropy

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“…These work values do not satisfy the JE (1), but it has been shown in Refs. [75,76] that they fulfill a modified equality…”

Section: Operational Quantum One-point Measurement Jementioning

confidence: 99%

Work as an external quantum observable and an operational quantum work fluctuation theorem

Beyer

Luoma

Strunz

2020

Phys. Rev. Research

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We propose a definition of externally measurable quantum work in driven systems. Work is given as a quantum observable on a control device which is forcing the system and can be determined without knowledge of the system HamiltonianĤ S. We argue that quantum work fluctuation theorems which rely on the knowledge of H S are of little practical relevance, contrary to their classical counterparts. Using our framework, we derive a fluctuation theorem which is operationally accessible and could in principle be implemented in experiments to determine bounds on free energy differences of unknown systems.

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“…In the quest for the understanding of the interplay between thermal and quantum fluctuations that determine the energy exchange processes occurring at the nano- and micro-scale, the identification of the role played by quantum coherences is paramount [ 1 , 2 ]. The foundational nature of such understanding has been the driving force for much research effort, which has started shedding light onto the role that quantum coherence has in the quantum thermodynamic phenomenology, from work extraction to the emergence of irreversibility [ 3 , 4 , 5 , 6 , 7 , 8 , 9 , 10 , 11 , 12 ]. Owing to the success that it has encountered in classical stochastic thermodynamics, the current approach to the determination of the statistics of such energetics in the quantum domain is based on the so-called two-point measurement (TPM) protocol [ 13 , 14 , 15 ]: the energy change of a system driven by a time-dependent protocol is measured both at the initial and final time of the dynamics.…”

Section: Introductionmentioning

confidence: 99%

“…Several strategies beyond the TPM scheme have been pointed out in this line [ 5 , 6 , 7 , 21 , 22 , 23 , 24 , 32 ]. Here, we will consider the MH scheme for measuring work, which replaces the first projective measurement of the TPM scheme with a weak measurement [ 23 ], and thus allows for initial coherence to survive along the protocol.…”

Section: Introductionmentioning

confidence: 99%

Quantum Work Statistics with Initial Coherence

Díaz

Guarnieri

Paternostro

2020

Entropy

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The two-point measurement scheme for computing the thermodynamic work performed on a system requires it to be initially in equilibrium. The Margenau–Hill scheme, among others, extends the previous approach to allow for a non-equilibrium initial state. We establish a quantitative comparison between both schemes in terms of the amount of coherence present in the initial state of the system, as quantified by the l1-coherence measure. We show that the difference between the two first moments of work, the variances of work, and the average entropy production obtained in both schemes can be cast in terms of such initial coherence. Moreover, we prove that the average entropy production can take negative values in the Margenau–Hill framework.

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Quantum Jarzynski Equality in Open Quantum Systems from the One-Time Measurement Scheme

Cited by 50 publications

References 42 publications

Quantum and Classical Ergotropy from Relative Entropies

Quantum and Classical Ergotropy from Relative Entropies

Work as an external quantum observable and an operational quantum work fluctuation theorem

Quantum Work Statistics with Initial Coherence

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