Quantum-classical correspondence principle for work distributions in a chaotic system

Zhu, Long; Gong, Zongping; Wu, Biao; Quan, H. T.

doi:10.1103/physreve.93.062108

Cited by 38 publications

(44 citation statements)

References 46 publications

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“…Furthermore, it is important to also keep the past information of all previous units U (i < n) and outcomes r n−1 because we explicitly allow the current unit and Hamiltonian to depend on all earlier outcomes (this is, for instance, essential if we apply time-delayed feedback control). Thus, we define the stochastic entropy of the process as (35) Note that the probability p(r n ) of a particular trajectory can be straightforwardly computed from knowing the unnormalized state of the system, see Eq. (8).…”

Section: Stochastic Entropy and Second Lawmentioning

confidence: 99%

“…Thus, by measuring the whole universe (system plus bath), the two-point measurement approach circumvents the need to define thermodynamic quantities along a specific system trajectory. Also alternative and complementary approaches based on interferometric measurements [25][26][27][28][29], a single projective measurement [30,31] or no measurement at all [32,33] have been put forward and the semiclassical limit was studied too [34][35][36]. To conclude, even though those approaches are theoretically powerful, they are experimentally hard to confirm and an important feature of classical stochastic thermodynamics is still missing, namely the definition of internal energy and entropy along a given 'quantum trajectory'.…”

Section: Introductionmentioning

confidence: 99%

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Operational approach to quantum stochastic thermodynamics

Strasberg

2019

Phys. Rev. E

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We set up a framework for quantum stochastic thermodynamics based solely on experimentally controllable, but otherwise arbitrary interventions at discrete times. Using standard assumptions about the system-bath dynamics and insights from the repeated interaction framework, we define internal energy, heat, work and entropy at the trajectory level. The validity of the first law (at the trajectory level) and the second law (on average) is established. The theory naturally allows to treat incomplete information and it is able to smoothly interpolate between a trajectory based and ensemble level description. We use our theory to compute the thermodynamic efficiency of recent experiments reporting on the stabilization of photon number states using real-time quantum feedback control. Special attention is also payed to limiting cases of our general theory, where we recover or contrast it with previous results. We point out various interesting problems, which the theory is able to address rigorously, such as the detection of quantum effects in thermodynamics. arXiv:1810.00698v4 [quant-ph]

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Section: Stochastic Entropy and Second Lawmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Operational approach to quantum stochastic thermodynamics

Strasberg

2019

Phys. Rev. E

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“…It was later recognized that the standard FTs could be obtained by defining fluctuating work as the difference between the outcomes of two projective energy measurements (TPM) [4,5,[41][42][43][44][45][46]. The TPM scheme gives a clear operational and physical meaning to work, is applicable to both closed and open systems [47], has been implemented in different experimental set-ups [48][49][50][51], and one can define a natural correspondence with the classical definition of work [52,53]. This makes the TPM scheme a standard definition of fluctuating work in quantum systems nowadays.…”

mentioning

confidence: 99%

Fluctuating Work in Coherent Quantum Systems: Proposals and Limitations

Bäumer

Lostaglio

Perarnau-Llobet

et al. 2018

Fundamental Theories of Physics

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One of the most important goals in quantum thermodynamics is to demonstrate advantages of thermodynamic protocols over their classical counterparts. For that, it is necessary to (i) develop theoretical tools and experimental set-ups to deal with quantum coherence in thermodynamic contexts, and to (ii) elucidate which properties are genuinely quantum in a thermodynamic process. In this short review, we discuss proposals to define and measure work fluctuations that allow to capture quantum interference phenomena. We also discuss fundamental limitations arising due to measurement back-action, as well as connections between work distributions and quantum contextuality. We hope the different results summarised here motivate further research on the role of quantum phenomena in thermodynamics.The aim of this short review is to discuss different proposals and definitions of fluctuating work in quantum systems, particularly in the presence of a superposition of energies in the initial state. This is an exciting topic that has recently received a lot of attention in the community of quantum thermodynamics [1,2]. One can identify different motivations behind this research line:

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“…A merit of this definition is that the statistics of work complies with the fluctuation theorems of Jarzynski [5] and Crooks [6]. Recently, this definition is further justified from the angle of the quantum-classical correspondence principle in integrable [7], chaotic [8], and many-body systems [9].…”

Section: Introductionmentioning

confidence: 98%

Decoherence approach to energy transfer and work done by slowly driven systems

Wang

2018

Phys. Rev. E

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In this paper, decoherence is studied for quantum systems undergoing adiabatic processes, which are coupled to huge quantum environments. It is shown that decoherence can happen with respect to a preferred basis given by transient self-Hamiltonian. This result can be used to justify a most-oftenused definition of quantum work for a system undergoing an adiabatic process, without resorting to measurement.

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Quantum-classical correspondence principle for work distributions in a chaotic system

Cited by 38 publications

References 46 publications

Operational approach to quantum stochastic thermodynamics

Operational approach to quantum stochastic thermodynamics

Fluctuating Work in Coherent Quantum Systems: Proposals and Limitations

Decoherence approach to energy transfer and work done by slowly driven systems

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