Conditional fluctuation theorems and entropy production for monitored quantum systems under imperfect detection
The thermodynamic behavior of Markovian open quantum systems can be described at the level of fluctuations by using continuous monitoring approaches. However, practical applications require assessing imperfect detection schemes, where the definition of main thermodynamic quantities becomes subtle an...
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Format: | Article |
Language: | English |
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American Physical Society
2025-01-01
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Series: | Physical Review Research |
Online Access: | http://doi.org/10.1103/PhysRevResearch.7.013077 |
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author | Mar Ferri-Cortés José A. Almanza-Marrero Rosa López Roberta Zambrini Gonzalo Manzano |
author_facet | Mar Ferri-Cortés José A. Almanza-Marrero Rosa López Roberta Zambrini Gonzalo Manzano |
author_sort | Mar Ferri-Cortés |
collection | DOAJ |
description | The thermodynamic behavior of Markovian open quantum systems can be described at the level of fluctuations by using continuous monitoring approaches. However, practical applications require assessing imperfect detection schemes, where the definition of main thermodynamic quantities becomes subtle and universal fluctuation relations are unknown. Here, we fill this gap by deriving a universal fluctuation relation that links thermodynamic entropy production and information-theoretical irreversibility along single trajectories in inefficient monitoring setups. This relation provides as a corollary an irreversibility estimator of dissipation using imperfect detection records that lower bounds the underlying entropy production at the level of visible trajectories. We illustrate our findings with a driven-dissipative two-level system following quantum jump trajectories and discuss the experimental applicability of our results for thermodynamic inference. |
format | Article |
id | doaj-art-49e77d46635e425384f931e345ef2559 |
institution | Kabale University |
issn | 2643-1564 |
language | English |
publishDate | 2025-01-01 |
publisher | American Physical Society |
record_format | Article |
series | Physical Review Research |
spelling | doaj-art-49e77d46635e425384f931e345ef25592025-01-21T15:01:34ZengAmerican Physical SocietyPhysical Review Research2643-15642025-01-017101307710.1103/PhysRevResearch.7.013077Conditional fluctuation theorems and entropy production for monitored quantum systems under imperfect detectionMar Ferri-CortésJosé A. Almanza-MarreroRosa LópezRoberta ZambriniGonzalo ManzanoThe thermodynamic behavior of Markovian open quantum systems can be described at the level of fluctuations by using continuous monitoring approaches. However, practical applications require assessing imperfect detection schemes, where the definition of main thermodynamic quantities becomes subtle and universal fluctuation relations are unknown. Here, we fill this gap by deriving a universal fluctuation relation that links thermodynamic entropy production and information-theoretical irreversibility along single trajectories in inefficient monitoring setups. This relation provides as a corollary an irreversibility estimator of dissipation using imperfect detection records that lower bounds the underlying entropy production at the level of visible trajectories. We illustrate our findings with a driven-dissipative two-level system following quantum jump trajectories and discuss the experimental applicability of our results for thermodynamic inference.http://doi.org/10.1103/PhysRevResearch.7.013077 |
spellingShingle | Mar Ferri-Cortés José A. Almanza-Marrero Rosa López Roberta Zambrini Gonzalo Manzano Conditional fluctuation theorems and entropy production for monitored quantum systems under imperfect detection Physical Review Research |
title | Conditional fluctuation theorems and entropy production for monitored quantum systems under imperfect detection |
title_full | Conditional fluctuation theorems and entropy production for monitored quantum systems under imperfect detection |
title_fullStr | Conditional fluctuation theorems and entropy production for monitored quantum systems under imperfect detection |
title_full_unstemmed | Conditional fluctuation theorems and entropy production for monitored quantum systems under imperfect detection |
title_short | Conditional fluctuation theorems and entropy production for monitored quantum systems under imperfect detection |
title_sort | conditional fluctuation theorems and entropy production for monitored quantum systems under imperfect detection |
url | http://doi.org/10.1103/PhysRevResearch.7.013077 |
work_keys_str_mv | AT marferricortes conditionalfluctuationtheoremsandentropyproductionformonitoredquantumsystemsunderimperfectdetection AT joseaalmanzamarrero conditionalfluctuationtheoremsandentropyproductionformonitoredquantumsystemsunderimperfectdetection AT rosalopez conditionalfluctuationtheoremsandentropyproductionformonitoredquantumsystemsunderimperfectdetection AT robertazambrini conditionalfluctuationtheoremsandentropyproductionformonitoredquantumsystemsunderimperfectdetection AT gonzalomanzano conditionalfluctuationtheoremsandentropyproductionformonitoredquantumsystemsunderimperfectdetection |