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Stochastic Entropy Production: Fluctuation Relation and Irreversibility Mitigation in Non-unital Quantum Dynamics
Eliana Fiorelli1, Stefano Gherardini2,3,4, Stefano Marcantoni5,6,7
1Instituto de Física Interdisciplinar y Sistemas Complejos (IFISC), UIB-CSIC UIB Campus, 07122 Palma de Mallorca, Spain.
Journal of Statistical Physics
|June 16, 2023
Summary
This study analyzes stochastic entropy production in open quantum systems using non-unital quantum maps. We show how a non-equilibrium potential influences entropy production statistics and prove a fluctuation relation.
Area of Science:
- Quantum Thermodynamics
- Statistical Mechanics
- Open Quantum Systems
Background:
- Open quantum systems exhibit complex dynamics influenced by their environment.
- Non-unital quantum maps describe systems where information can be lost, leading to irreversible processes.
- Stochastic entropy production quantifies irreversibility in non-equilibrium systems.
Purpose of the Study:
- To investigate stochastic entropy production in open quantum systems described by non-unital quantum maps.
- To explore the role of a non-equilibrium potential in the dynamics of entropy production.
- To analyze irreversibility mitigation in the context of qubit thermalization.
Main Methods:
- Utilized a class of non-unital quantum maps with Kraus operators linked to a non-equilibrium potential.
- Focused on observables commuting with the invariant state of the system's evolution.
- Derived a fluctuation relation for stochastic entropy production and expressed its average using relative entropies.
Main Results:
- Demonstrated how the non-equilibrium potential affects the statistics of stochastic entropy production.
- Proved a fluctuation relation for stochastic entropy production in the considered system.
- Provided a method to express the average entropy production in terms of relative entropies.
Conclusions:
- The study provides theoretical insights into entropy production in open quantum systems with non-unital dynamics.
- The findings are applied to qubit thermalization, analyzing non-Markovian transients and irreversibility mitigation.
- This work offers a framework for understanding and quantifying irreversibility in quantum systems.
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