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June 7, 2013Open Access

Extracting Quantum Work Statistics and Fluctuation Theorems by Single-Qubit Interferometry

Key Points

To display a method for verifying quantum nonequilibrium fluctuation relations using a single-qubit interferometry technique.
Utilized Ramsey interferometry of a single probe qubit to extract the characteristic function of the work distribution.
Demonstrated the approach using a time-dependent quench of the motional state in a trapped ion system.
Characterized nonequilibrium processes in various quantum systems, including many-body atomic systems and spin chains.
Successfully extracted the characteristic function of the work distribution for a nonequilibrium quench.
Validated the method for characterizing nonequilibrium processes across different quantum systems.
Showed that the internal pseudospin of the trapped ion serves as an effective probe qubit.

Abstract

We propose an experimental scheme to verify the quantum nonequilibrium fluctuation relations using current technology. Specifically, we show that the characteristic function of the work distribution for a nonequilibrium quench of a general quantum system can be extracted by Ramsey interferometry of a single probe qubit. Our scheme paves the way for the full characterization of nonequilibrium processes in a variety of quantum systems, ranging from single particles to many-body atomic systems and spin chains. We demonstrate our idea using a time-dependent quench of the motional state of a trapped ion, where the internal pseudospin provides a convenient probe qubit.

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Cite This Study

Dorner et al. (Fri,) studied this question.

synapsesocial.com/papers/6a2080f6cd682a52c6f899ef https://doi.org/https://doi.org/10.1103/physrevlett.110.230601

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