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Quantum Fluctuation Theorems beyond Two-Point Measurements
Kaonan Micadei1, Gabriel T Landi2, Eric Lutz1
1Institute for Theoretical Physics I, University of Stuttgart, D-70550 Stuttgart, Germany.
This study introduces quantum fluctuation theorems for heat exchange in quantum systems. These theorems capture quantum correlations and coherence, unlike standard methods that destroy quantum features.
Area of Science:
- Quantum thermodynamics
- Statistical mechanics
- Information theory
Background:
- Quantum systems exhibit unique correlations and coherence.
- Traditional measurement schemes can disrupt these quantum properties.
- Understanding heat exchange in quantum systems is crucial.
Purpose of the Study:
- To derive detailed and integral quantum fluctuation theorems for heat exchange.
- To fully capture quantum correlations and coherence in bipartite thermal systems.
- To develop a framework that preserves quantum features during analysis.
Main Methods:
- Utilizing dynamic Bayesian networks.
- Deriving fluctuation relations for quantum correlated bipartite thermal systems.
- Analyzing heat exchange at arbitrary times.
Main Results:
- Successfully derived detailed and integral quantum fluctuation theorems.
- Demonstrated that the derived theorems capture quantum correlations and coherence.
- Obtained individual integral fluctuation theorems for classical/quantum correlations and local/global coherences.
Conclusions:
- The dynamic Bayesian network framework effectively captures quantum features in heat exchange.
- The derived fluctuation theorems offer a new tool for studying quantum thermodynamics.
- This approach overcomes limitations of traditional measurement schemes in preserving quantum properties.
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