Thermalization processes induced by quantum monitoring in multilevel systems

Gherardini, Stefano; Giachetti, Guido; Ruffo, Stefano; Trombettoni, Andrea

doi:10.1103/physreve.104.034114

Cited by 8 publications

(20 citation statements)

References 73 publications

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“…In this section, first we introduce the general formalism describing the effect on applying a sequence of repeated projective measurements on a (discrete-variable) quantum system, and then we present some important results related to this topic -both at the theoretical and experimental sides -that some of us have been recently derived in Refs. [45,46,48,51].…”

Section: Protocols Of Repeated Quantum Measurementsmentioning

confidence: 99%

“…Since the performed projective measurements are random exogenous genuinely-quantum processes, we the internal energy variation ∆U is classified as heat Q absorbed or emitted by the system [45,46].…”

Section: A General Formalismmentioning

confidence: 99%

“…The first observation that allows to derive most of the results in Ref. [46] is that the expression of the conditional probability π k M |k1 can be further simplified as…”

Section: Infinite-temperature Thermalizationmentioning

confidence: 99%

“…In this paper we discuss the interplay between energy fluctuation relations and repeated quantum measurements. Our presentation make use of results in [45] and [46], and as well on few unpublished results presented in a Thesis of one of us [47]. Both papers [45,46] concern the statistics of the energy exchanged between a discrete quantum system and its surrounding (e.g., provided by the external measurement apparatus), but our presentation is new since our aim is to present to the general audience a comprehensive formalism in which the different cases scrutinized in [45,46] are conveniently retrieved.…”

Section: Introductionmentioning

confidence: 99%

“…Our presentation make use of results in [45] and [46], and as well on few unpublished results presented in a Thesis of one of us [47]. Both papers [45,46] concern the statistics of the energy exchanged between a discrete quantum system and its surrounding (e.g., provided by the external measurement apparatus), but our presentation is new since our aim is to present to the general audience a comprehensive formalism in which the different cases scrutinized in [45,46] are conveniently retrieved. We will discuss the fact that the Jarzynski equality of the exchanged energy is obeyed independently on the fact that is present randomness in the distribution of the waiting times τ between consecutive measurements.…”

Section: Introductionmentioning

confidence: 99%

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Energy fluctuation relations and repeated quantum measurements

Gherardini,

Buffoni,

Giachetti

et al. 2022

Preprint

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Section: Protocols Of Repeated Quantum Measurementsmentioning

confidence: 99%

Section: A General Formalismmentioning

confidence: 99%

“…The first observation that allows to derive most of the results in Ref. [46] is that the expression of the conditional probability π k M |k1 can be further simplified as…”

Section: Infinite-temperature Thermalizationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Energy fluctuation relations and repeated quantum measurements

Gherardini,

Buffoni,

Giachetti

et al. 2022

Preprint

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Stochastic Entropy Production: Fluctuation Relation and Irreversibility Mitigation in Non-unital Quantum Dynamics

2023

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In this work, we study the stochastic entropy production in open quantum systems whose time evolution is described by a class of non-unital quantum maps. In particular, as in Phys Rev E 92:032129 (2015), we consider Kraus operators that can be related to a nonequilibrium potential. This class accounts for both thermalization and equilibration to a non-thermal state. Unlike unital quantum maps, non-unitality is responsible for an unbalance of the forward and backward dynamics of the open quantum system under scrutiny. Here, concentrating on observables that commute with the invariant state of the evolution, we show how the non-equilibrium potential enters the statistics of the stochastic entropy production. In particular, we prove a fluctuation relation for the latter and we find a convenient way of expressing its average solely in terms of relative entropies. Then, the theoretical results are applied to the thermalization of a qubit with non-Markovian transient, and the phenomenon of irreversibility mitigation, introduced in Phys Rev Res 2:033250 (2020), is analyzed in this context.

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