Emergence of a fluctuation relation for heat in nonequilibrium Landauer processes

Philip Taranto, Kavan Modi, Felix A. Pollock

Research output: Contribution to journalArticleResearchpeer-review

Abstract

In a generalized framework for the Landauer erasure protocol, we study bounds on the heat dissipated in typical nonequilibrium quantum processes. In contrast to thermodynamic processes, quantum fluctuations are not suppressed in the nonequilibrium regime and cannot be ignored, making such processes difficult to understand and treat. Here we derive an emergent fluctuation relation that virtually guarantees the average heat produced to be dissipated into the reservoir either when the system or reservoir is large (or both) or when the temperature is high. The implication of our result is that for nonequilibrium processes, heat fluctuations away from its average value are suppressed independently of the underlying dynamics exponentially quickly in the dimension of the larger subsystem and linearly in the inverse temperature. We achieve these results by generalizing a concentration of measure relation for subsystem states to the case where the global state is mixed.

Original languageEnglish
Article number052111
Number of pages8
JournalPhysical Review E
Volume97
Issue number5
DOIs
Publication statusPublished - 10 May 2018

Cite this

@article{625b973d1cf2412babd84f582dd5b848,
title = "Emergence of a fluctuation relation for heat in nonequilibrium Landauer processes",
abstract = "In a generalized framework for the Landauer erasure protocol, we study bounds on the heat dissipated in typical nonequilibrium quantum processes. In contrast to thermodynamic processes, quantum fluctuations are not suppressed in the nonequilibrium regime and cannot be ignored, making such processes difficult to understand and treat. Here we derive an emergent fluctuation relation that virtually guarantees the average heat produced to be dissipated into the reservoir either when the system or reservoir is large (or both) or when the temperature is high. The implication of our result is that for nonequilibrium processes, heat fluctuations away from its average value are suppressed independently of the underlying dynamics exponentially quickly in the dimension of the larger subsystem and linearly in the inverse temperature. We achieve these results by generalizing a concentration of measure relation for subsystem states to the case where the global state is mixed.",
author = "Philip Taranto and Kavan Modi and Pollock, {Felix A.}",
year = "2018",
month = "5",
day = "10",
doi = "10.1103/PhysRevE.97.052111",
language = "English",
volume = "97",
journal = "Physical Review E - Covering Statistical, Nonlinear, Biological, and Soft Matter Physics",
issn = "2470-0045",
publisher = "American Physical Society",
number = "5",

}

Emergence of a fluctuation relation for heat in nonequilibrium Landauer processes. / Taranto, Philip; Modi, Kavan; Pollock, Felix A.

In: Physical Review E, Vol. 97, No. 5, 052111, 10.05.2018.

Research output: Contribution to journalArticleResearchpeer-review

TY - JOUR

T1 - Emergence of a fluctuation relation for heat in nonequilibrium Landauer processes

AU - Taranto, Philip

AU - Modi, Kavan

AU - Pollock, Felix A.

PY - 2018/5/10

Y1 - 2018/5/10

N2 - In a generalized framework for the Landauer erasure protocol, we study bounds on the heat dissipated in typical nonequilibrium quantum processes. In contrast to thermodynamic processes, quantum fluctuations are not suppressed in the nonequilibrium regime and cannot be ignored, making such processes difficult to understand and treat. Here we derive an emergent fluctuation relation that virtually guarantees the average heat produced to be dissipated into the reservoir either when the system or reservoir is large (or both) or when the temperature is high. The implication of our result is that for nonequilibrium processes, heat fluctuations away from its average value are suppressed independently of the underlying dynamics exponentially quickly in the dimension of the larger subsystem and linearly in the inverse temperature. We achieve these results by generalizing a concentration of measure relation for subsystem states to the case where the global state is mixed.

AB - In a generalized framework for the Landauer erasure protocol, we study bounds on the heat dissipated in typical nonequilibrium quantum processes. In contrast to thermodynamic processes, quantum fluctuations are not suppressed in the nonequilibrium regime and cannot be ignored, making such processes difficult to understand and treat. Here we derive an emergent fluctuation relation that virtually guarantees the average heat produced to be dissipated into the reservoir either when the system or reservoir is large (or both) or when the temperature is high. The implication of our result is that for nonequilibrium processes, heat fluctuations away from its average value are suppressed independently of the underlying dynamics exponentially quickly in the dimension of the larger subsystem and linearly in the inverse temperature. We achieve these results by generalizing a concentration of measure relation for subsystem states to the case where the global state is mixed.

UR - http://www.scopus.com/inward/record.url?scp=85047005437&partnerID=8YFLogxK

U2 - 10.1103/PhysRevE.97.052111

DO - 10.1103/PhysRevE.97.052111

M3 - Article

VL - 97

JO - Physical Review E - Covering Statistical, Nonlinear, Biological, and Soft Matter Physics

JF - Physical Review E - Covering Statistical, Nonlinear, Biological, and Soft Matter Physics

SN - 2470-0045

IS - 5

M1 - 052111

ER -