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Quantum Euler Relation for Local Measurements
Akram Touil1, Kevin Weber1,2, Sebastian Deffner1,3
1Department of Physics, University of Maryland, Baltimore County, Baltimore, MD 21250, USA.
Entropy (Basel, Switzerland)
|August 6, 2021
Summary
Researchers derived a quantum Euler relation accounting for measurement back action, crucial for understanding quantum thermodynamics. This new relation, governed by measurement information, applies to quantum systems, revealing thermodynamic behavior in specific conditions.
Area of Science:
- Quantum thermodynamics
- Statistical mechanics
- Information theory
Background:
- Classical thermodynamics utilizes the Euler relation for internal energy.
- Quantum systems present complexities due to measurement back action.
- A quantum analog of the Euler relation is needed.
Purpose of the Study:
- To derive a quantum analog of the Euler relation.
- To incorporate the impact of local quantum measurements and information retrieval.
- To investigate thermodynamic behavior in quantum systems.
Main Methods:
- Derivation of a quantum Euler relation.
- Analysis of information retrieved by local quantum measurements.
- Application to the collective dissipation model.
Main Results:
- A quantum Euler relation was successfully derived.
- The relation is governed by information from local quantum measurements.
- Thermodynamic behavior was observed in the weak-coupling regime of the collective dissipation model.
Conclusions:
- The derived quantum Euler relation provides a framework for quantum thermodynamics.
- Measurement back action and information are key factors in quantum thermodynamic relations.
- The collective dissipation model validates the quantum Euler relation under specific conditions.
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