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Modulated two-level system: exact work statistics
Gatien Verley1, Christian Van den Broeck, Massimiliano Esposito
1Complex Systems and Statistical Mechanics, University of Luxembourg, L-1511 Luxembourg, G.D. Luxembourg.
Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|October 16, 2013
Summary
This study analyzes work fluctuations in an open two-level system using various rate equations. A work fluctuation theorem was derived, providing insights into energy exchange in quantum systems.
Area of Science:
- Quantum Thermodynamics
- Statistical Mechanics
Background:
- Open quantum systems are fundamental to understanding energy exchange.
- Rate equations describe system dynamics under external driving fields.
Purpose of the Study:
- To analyze the work performed on an open two-level system driven by a periodic field.
- To derive analytical expressions for work statistics and investigate fluctuation theorems.
Main Methods:
- Utilizing rate equations with Fermi, Bose, and Arrhenius rates.
- Deriving generating functions and large deviation functions for work.
- Applying analytical methods to derive theoretical expressions.
Main Results:
- An analytical expression for the generating function of work was obtained.
- A large deviation function for work was derived.
- A work fluctuation theorem was shown to hold for the system.
Conclusions:
- The study provides a theoretical framework for understanding work fluctuations in driven quantum systems.
- The derived work fluctuation theorem offers a valuable tool for analyzing energy exchanges.
- The findings contribute to the field of quantum thermodynamics and statistical mechanics.
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