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Related Experiment Video

Updated: Jun 5, 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 work relations under trial Hamiltonians.

Arun K Pati¹, Mamata Sahoo, Biswajit Pradhan

¹Institute of Physics, Bhubaneswar-751005, Orissa, India.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics

|January 15, 2011

Summary

This summary is machine-generated.

This study explores the accuracy of quantum work relations when systems are driven by trial Hamiltonians. A new inequality is presented, offering a generalized Bogoliubov inequality for free-energy differences.

Related Experiment Videos

Last Updated: Jun 5, 2026

Generation and Coherent Control of Pulsed Quantum Frequency Combs

Generation and Coherent Control of Pulsed Quantum Frequency Combs

Published on: June 8, 2018

Area of Science:

Quantum thermodynamics
Statistical mechanics
Quantum information theory

Background:

The universal quantum work relation links observable averages to free-energy differences.
Its accuracy under non-ideal driving conditions (trial Hamiltonians) is not fully understood.

Purpose of the Study:

To investigate the accuracy of quantum work relations when systems are driven by trial Hamiltonians.
To derive a condition for the validity of these relations under such perturbations.

Main Methods:

Derivation of a novel inequality governing systems driven by trial Hamiltonians.
Analysis of the correction term in the quantum work relation.

Main Results:

An inequality is presented that must be satisfied when using trial Hamiltonians.
The correction term is shown to be the average of the difference between accurate and trial Hamiltonians.
A generalized Bogoliubov inequality for free-energy differences is established.

Conclusions:

The derived inequality quantifies the accuracy of quantum work relations with trial Hamiltonians.
This work provides a theoretical framework for understanding non-equilibrium quantum thermodynamics under approximate driving conditions.