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Related Experiment Video

Updated: Jun 6, 2026

Generation and Coherent Control of Pulsed Quantum Frequency Combs

Generation and Coherent Control of Pulsed Quantum Frequency Combs

Published on: June 8, 2018

Quantum Bochkov-Kuzovlev work fluctuation theorems.

Michele Campisi¹, Peter Talkner, Peter Hänggi

¹Institut für Physik, Universität Augsburg, Universitätsstrasse 1, D-86135 Augsburg, Germany.

Philosophical Transactions. Series A, Mathematical, Physical, and Engineering Sciences

|December 15, 2010

Summary

This summary is machine-generated.

This study derives the quantum Bochkov-Kuzovlev identity using an

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Area of Science:

Quantum thermodynamics
Statistical mechanics
Quantum information theory

Background:

The Bochkov-Kuzovlev identity is a fundamental result in non-equilibrium statistical mechanics.
Understanding work and fluctuations in quantum systems is crucial for quantum technologies.

Purpose of the Study:

To derive the quantum version of the Bochkov-Kuzovlev identity.
To explore quantum fluctuation theorems under different definitions of work.
To clarify the relationships between various definitions of quantum work.

Main Methods:

Definition of work as a difference in measured internal energies.
Adoption of the 'exclusive' viewpoint for work calculation.
Derivation of canonical and microcanonical quantum fluctuation theorems.

Main Results:

The quantum Bochkov-Kuzovlev identity is derived.
Comparison of 'exclusive' and 'inclusive' approaches to quantum work and fluctuation theorems.
Demonstration that exclusive work and dissipated work are distinct stochastic quantities with different statistics.

Conclusions:

The 'exclusive' definition of work provides a consistent framework for quantum fluctuation theorems.
Distinguishing between different work definitions is essential for accurate descriptions of quantum systems.
This work offers a deeper understanding of non-equilibrium quantum thermodynamics.