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Generation and Coherent Control of Pulsed Quantum Frequency Combs

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Published on: June 8, 2018

Quantum-to-classical transition in the work distribution for chaotic systems.

Ignacio García-Mata^1,2, Augusto J Roncaglia³, Diego A Wisniacki³

¹Instituto de Investigaciones Físicas de Mar del Plata (IFIMAR), CONICET-UNMdP, Funes 3350, B7602AYL Mar del Plata, Argentina.

Physical Review. E

|June 17, 2017

Summary

We developed a new semiclassical method to approximate quantum work distributions in chaotic systems. This approach bridges quantum and classical calculations, improving accuracy with increasing temperature.

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Area of Science:

Non-equilibrium thermodynamics
Quantum chaos
Statistical mechanics

Background:

Work distribution is key in non-equilibrium thermodynamics, linked to fluctuation theorems.
Understanding quantum work distributions in chaotic systems is challenging.
Classical and quantum work distributions often differ significantly.

Purpose of the Study:

To develop a semiclassical approximation for work distribution in quantum chaotic systems.
To connect quantum and classical work distribution calculations.
To validate the approximation against numerical simulations.

Main Methods:

Utilizing the dephasing representation of the quantum Loschmidt echo.
Applying the quantum ergodic conjecture.
Performing numerical simulations to compare quantum and semiclassical results.

Main Results:

The developed semiclassical approximation accurately describes quantum work distributions.
The approximation's accuracy improves as system temperature increases.
A clear link between quantum and classical work distributions is established.

Conclusions:

The semiclassical approach provides a valuable tool for studying work distributions in quantum chaotic systems.
This method bridges the gap between quantum and classical descriptions of thermodynamic processes.
The findings have implications for understanding energy fluctuations in quantum systems.