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Detailed Fluctuation Relation for Arbitrary Measurement and Feedback Schemes
Patrick P Potts1, Peter Samuelsson1
1Physics Department and NanoLund, Lund University, Box 118, 22100 Lund, Sweden.
Physical Review Letters
|December 6, 2018
Summary
This study presents a new method for detailed fluctuation relations, applicable even with complex measurements and feedback. It establishes a work extraction inequality based on inferable entropy production, crucial for non-equilibrium thermodynamics.
Area of Science:
- Thermodynamics
- Statistical Mechanics
- Quantum Information
Background:
- Fluctuation relations are key equalities in non-equilibrium systems.
- Standard methods struggle with continuous measurements and feedback-induced irreversibility.
Purpose of the Study:
- To develop a general framework for detailed fluctuation relations.
- To address limitations of existing approaches in measurement and feedback control.
Main Methods:
- Introduced a novel recipe for constructing detailed fluctuation relations.
- Incorporated postselection to manage inferable fluctuations from measurement outcomes.
Main Results:
- Derived a fluctuation relation valid for arbitrary measurement and feedback protocols.
- Established a stringent, experimentally accessible inequality on extractable work.
Conclusions:
- The new framework overcomes limitations in applying fluctuation relations to complex systems.
- The derived inequality provides a benchmark for work extraction, saturated by full entropy production inference.
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