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Extracting quantum work statistics and fluctuation theorems by single-qubit interferometry
R Dorner1, S R Clark2, L Heaney3
1Blackett Laboratory, Imperial College London, Prince Consort Road, London SW7 2AZ, United Kingdom and Clarendon Laboratory, University of Oxford, Parks Road, Oxford OX1 3PU, United Kingdom.
We present a method to test quantum fluctuation relations using Ramsey interferometry. This technique allows characterizing nonequilibrium processes in various quantum systems with current technology.
Area of Science:
- Quantum physics
- Statistical mechanics
- Quantum information science
Background:
- Quantum systems can exist in nonequilibrium states, deviating from thermal equilibrium.
- Understanding these nonequilibrium dynamics is crucial for quantum technologies.
- Quantum fluctuation relations provide fundamental insights into energy exchange in driven systems.
Purpose of the Study:
- To propose a practical experimental scheme for verifying quantum nonequilibrium fluctuation relations.
- To demonstrate a method for characterizing work distributions in driven quantum systems.
- To enable the study of nonequilibrium dynamics across diverse quantum platforms.
Main Methods:
- Utilizing Ramsey interferometry on a single probe qubit to extract information.
- Applying the technique to a general quantum system undergoing a nonequilibrium quench.
- Implementing the scheme with a trapped ion system and its internal pseudospin as the probe.
Main Results:
- The characteristic function of the work distribution can be experimentally extracted.
- The proposed scheme is compatible with current experimental technologies.
- The method is applicable to a wide range of quantum systems.
Conclusions:
- The developed experimental scheme provides a feasible route to verify quantum nonequilibrium fluctuation relations.
- This work facilitates the full characterization of nonequilibrium processes in quantum systems.
- The approach offers a versatile tool for exploring quantum thermodynamics and dynamics.
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