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Scalable Quantum Integrated Circuits on Superconducting Two-Dimensional Electron Gas Platform

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Quantum jump approach for work and dissipation in a two-level system.

F W J Hekking¹, J P Pekola

¹LPMMC, Universite Joseph Fourier and CNRS, 25 Avenue des Martyrs, BP 166, 38042 Grenoble, France.

Physical Review Letters

|September 17, 2013

Summary

We used the quantum jump approach to study work statistics in a driven two-level system. Our findings confirm fluctuation relations and the fluctuation-dissipation theorem under specific conditions, highlighting quantum and classical differences.

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Area of Science:

Quantum thermodynamics
Statistical mechanics
Quantum optics

Background:

Understanding work statistics in quantum systems is crucial for quantum thermodynamics.
Driven quantum systems coupled to thermal environments exhibit complex behaviors.

Purpose of the Study:

To investigate the statistics of work in a driven two-level system using the quantum jump approach.
To analyze work fluctuations by counting environmental photon exchanges.

Main Methods:

Application of the quantum jump method.
Analysis of photon absorption and emission by the environment.
Repeated experimental simulations.

Main Results:

Identical satisfaction of nonequilibrium fluctuation relations.
Validation of the fluctuation-dissipation theorem for weak dissipation or drive.
Identification of qualitative distinctions between classical and quantum regimes.

Conclusions:

The quantum jump approach provides a robust framework for analyzing work statistics in open quantum systems.
The study confirms the applicability of fundamental thermodynamic relations in the quantum regime.
Distinct classical and quantum behaviors in work statistics are elucidated.