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Nonequilibrium work distributions in quantum impurity system-bath mixing processes.

Hong Gong¹, Yao Wang¹, Xiao Zheng¹

¹Department of Chemical Physics, University of Science and Technology of China, Hefei, Anhui 230026, China.

The Journal of Chemical Physics

|August 6, 2022

Summary

This summary is machine-generated.

This study presents an exact method for evaluating work distributions in quantum systems, confirming key thermodynamic relations and revealing large deviation insights for nonequilibrium thermodynamics.

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Area of Science:

Quantum thermodynamics
Statistical mechanics
Nonequilibrium systems

Background:

The fluctuation theorem is crucial for understanding nonequilibrium thermodynamics, focusing on work distribution.
Evaluating work distributions in complex quantum systems with non-Markovian and strong couplings remains challenging.

Purpose of the Study:

To develop an exact method for calculating work distributions in quantum impurity-bath systems.
To investigate the behavior of these distributions under non-Markovian and strong coupling conditions.
To explore large deviation properties within quantum nonequilibrium processes.

Main Methods:

Utilizing the dissipaton-equation-of-motion theory.
Developing an exact analytical method for work distribution evaluation.
Applying the method to a spin-boson model system for numerical demonstration.

Main Results:

The developed method accurately reproduces the Jarzynski equality and Crooks relation.
The study reveals detailed information regarding large deviation statistics.
The approach is effective for non-Markovian and strongly coupled quantum systems.

Conclusions:

The dissipaton-equation-of-motion theory provides an exact framework for quantum work distribution calculations.
The findings validate fundamental fluctuation theorems in complex quantum regimes.
This work offers a powerful tool for analyzing nonequilibrium quantum phenomena.