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Quantum Jarzynski Equality in Open Quantum Systems from the One-Time Measurement Scheme.
Akira Sone1,2,3, Yi-Xiang Liu3, Paola Cappellaro3,4
1Theoretical Division, Los Alamos National Laboratory, Los Alamos, New Mexico 87545, USA.
Physical Review Letters
|August 27, 2020
Summary
Researchers defined new ways to measure quantum heat and work in open quantum systems. This advances quantum thermodynamics by enabling calculations beyond standard assumptions, linking measurements to hypothesis testing.
Area of Science:
- Quantum Thermodynamics
- Open Quantum Systems
Background:
- Distinguishing work and heat is difficult in open quantum systems.
- Extending the quantum Jarzynski equality to general quantum channels is an open problem.
Purpose of the Study:
- Introduce novel definitions for guessed quantum heat and guessed quantum work.
- Derive a modified quantum Jarzynski equality and principle of maximum work applicable to general quantum channels.
Main Methods:
- Utilize a one-time measurement scheme requiring only an initial energy measurement.
- Focus on system-only knowledge for defining and calculating guessed work.
Main Results:
- Successfully derived a modified quantum Jarzynski equality and principle of maximum work.
- Established a link between guessed quantum heat/work and quantum hypothesis testing.
Conclusions:
- The introduced concepts of guessed quantum heat and work provide a practical approach for open quantum systems.
- These findings offer new tools for analyzing energy exchange and information in quantum thermodynamics.
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