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Information fluctuation theorem for an open quantum bipartite system
Jung Jun Park1,2,3, Hyunchul Nha2, Sang Wook Kim4
1Centre for Quantum Technologies, National University of Singapore, 3 Science Drive 2, 117543, Singapore.
Physical Review. E
|June 25, 2020
Summary
We developed a fluctuation theorem (FT) for quantum systems to analyze how subsystem correlations change during thermodynamic processes. This new FT links entropy production to quantum correlation dynamics in nonequilibrium systems.
Area of Science:
- Quantum thermodynamics
- Statistical mechanics
- Nonequilibrium systems
Background:
- Studying arbitrary nonequilibrium dynamics in quantum systems is challenging.
- Characterizing thermodynamic evolution requires understanding subsystem interactions and correlations.
Purpose of the Study:
- To present a fluctuation theorem (FT) for quantum bipartite systems coupled to a reservoir.
- To explicitly address quantum correlations during thermodynamic evolution.
- To relate local entropy production to changes in quantum correlation.
Main Methods:
- We developed a fluctuation theorem (FT) for quantum bipartite systems.
- The FT considers both local and global states in time-forward and time-reversed transitions.
- We employed a two-point measurement scheme, measuring global states and using local states for augmented information.
Main Results:
- We derived a novel FT relating local entropy production to the change in quantum correlation.
- This FT provides a new thermodynamic inequality.
- The utility of the inequality was demonstrated using an isothermal process on Werner states.
Conclusions:
- The developed fluctuation theorem offers a new perspective on thermodynamics in open quantum systems.
- It provides a tool to quantify the interplay between entropy production and quantum correlations.
- This work advances the understanding of quantum information and thermodynamics.
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