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Transient exchange fluctuation theorems for heat using a Hamiltonian framework: Classical and quantum regimes
P S Pal1,2, Sourabh Lahiri3, A M Jayannavar1,2
1Institute of Physics, Sachivalaya Marg, Bhubaneswar 751005, India.
Physical Review. E
|May 17, 2017
Summary
This study presents analytical heat fluctuation theorems for transient regimes in systems coupled to heat baths. These findings generalize existing theorems for both classical and quantum systems.
Area of Science:
- Thermodynamics
- Statistical Mechanics
- Quantum Mechanics
Background:
- Understanding heat exchange dynamics in finite systems is crucial for thermodynamics.
- Heat fluctuation theorems provide insights into the statistical behavior of energy transfer.
- Existing theorems often focus on equilibrium or specific transient conditions.
Purpose of the Study:
- To derive analytical results for heat fluctuation theorems in the transient regime.
- To investigate heat exchange statistics for systems coupled to single and multiple heat baths.
- To extend these findings to quantum systems and compare with classical counterparts.
Main Methods:
- Hamiltonian dynamics of composite systems (system + reservoir).
- Derivation of heat fluctuation theorems for classical systems with external driving protocols.
- Extension to quantum systems using von Neumann two-point projective measurements.
Main Results:
- Analytical heat fluctuation theorems derived for the transient regime.
- Agreement with known results for single heat bath scenarios.
- Generalization to two heat baths and demonstration of similar relations in the quantum regime.
Conclusions:
- The derived theorems generalize the Jarzynski-Wòjcik heat fluctuation theorem.
- The study bridges classical and quantum thermodynamics in transient regimes.
- The methods used for classical systems complement the analysis of quantum systems.
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