Measurability of nonequilibrium thermodynamics in terms of the Hamiltonian of mean force

Strasberg, Philipp; Esposito, Massimiliano

doi:10.1103/physreve.101.050101

Cited by 30 publications

(47 citation statements)

References 66 publications

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“…But it seems that for operational meaning of the mean force Hamiltonian the information about H B is also important, which makes this analog more natural. But importance of information about H B (not H mf only) is still discussible [32,33].…”

Section: Effective Hamiltonian As Temperature-dependent Hamiltonianmentioning

confidence: 99%

Effective Gibbs state for averaged observables

Teretenkov¹

2021

Preprint

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We consider the effective Gibbs state for averaged observables. In particular, we perturbatively calculate the correspondent effective Hamiltonian. We show that there are a lot of similarities between this effective Hamiltonian and the mean force Hamiltonian. We also discuss a thermodynamic role of the information loss due to restriction of our measurement capabilities to such averaged observables.

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Section: Effective Hamiltonian As Temperature-dependent Hamiltonianmentioning

confidence: 99%

Effective Gibbs state for averaged observables

Teretenkov¹

2021

Preprint

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“…This requirement to evaluate the system's internal energy brings a challenge, not only theoretically, but also experimentally, that needs careful attention. Recent works have shown that there is a certain freedom in defining HMF, which changes the partition function Z * S by keeping the thermodynamic unchanged [12]. We emphasize that the reduced state τ S (β) does not uniquely determine H * S (β) and Z S (β), even though by choosing one, the other is fully determined.…”

Section: Introductionmentioning

confidence: 96%

“…In fact, for the procedure of a state preparation, there is a thermodynamic cost, and such a description may also fall into the category of HMF framework of strong coupling regime. [12]. For the moment, we will briefly recapitulate the appropriate energy operator in the case of uncertainty relation between energy and temperature.…”

Section: Introductionmentioning

confidence: 99%

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Generalized uncertainty relation between thermodynamic variables in quantum thermodynamics

Abuali¹,

Kamin²,

Afonso³

et al. 2021

Preprint

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Thermodynamic equilibrium properties of a macroscopic system emerge from an interaction with a thermal bath. In the weak coupling regime, the description of thermodynamic states turns possible to describe the system in terms of its time-independent intensive and extensive variables. However, this is not an obvious task in both the classical and quantum cases when either dealing with finite systems described by a few degrees of freedom when the statistical fluctuations play an important role, i.e., not in the thermodynamic limit, or the coupling between the system and the environment is of the same order of magnitude as their energies. On the other hand, in recent years, metrology has been extended to the quantum regime in such a way that the fluctuation of physical quantities plays a crucial role in the precise estimation of parameters. Using metrology tools, it is possible to derive an uncertainty relation between the internal energy and temperature of systems for arbitrary linear coupling scales, showing an important connection between the two research fields. Our work is dedicated to the generalization of the thermodynamic uncertainty relations between an intensive and an extensive quantity for all coupling regimes in the quantum scenario through the generalized Gibbs ensemble (GGE). First, we demonstrate a fundamental limit between the intensive and extensive quantity for a total GGE state, which makes it possible to take the trace of the degrees of freedom of one of the systems and evaluate the uncertainty relation in the system of interest. After that, we performed a series of examples to corroborate the results already existing in the literature, thus showing the versatility of our method.

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“…In our recent paper [1], we were concerned with setting up a nonequilibrium thermodynamic framework for a system in strong contact with a bath using the concept of the Hamiltonian of mean force (HMF). A recent comment by Talkner and Hänggi (abbreviated T&H in the following) claims that our results can "lead to erroneous conclusions" and that we "wrongly conclude" some things [2].…”

mentioning

confidence: 99%

Reply to "Comment on `Measurability of nonequilibrium thermodynamics in terms of the Hamiltonian of mean force'"

Strasberg,

Esposito

2021

Preprint

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We refute the criticism expressed in a comment by P. Talkner and P. Hänggi [Phys. Rev. E 102, 066101 (2020)] on our paper Phys. Rev. E 101, 050101(R) (2020). We first make clear that our paper is free of any technical mistakes. We then defend the statements of our manuscript which were claimed to be taken out of context. Finally, we give clear arguments showing that the basic concepts we rely on are meaningful and have a deep rational.

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Measurability of nonequilibrium thermodynamics in terms of the Hamiltonian of mean force

Cited by 30 publications

References 66 publications

Effective Gibbs state for averaged observables

Effective Gibbs state for averaged observables

Generalized uncertainty relation between thermodynamic variables in quantum thermodynamics

Reply to "Comment on `Measurability of nonequilibrium thermodynamics in terms of the Hamiltonian of mean force'"

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