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Bound on Efficiency of Heat Engine from Uncertainty Relation Viewpoint.
Pritam Chattopadhyay1, Ayan Mitra2, Goutam Paul1
1Cryptology and Security Research Unit, R.C. Bose Center for Cryptology and Security, Indian Statistical Institute, Kolkata 700108, India.
Entropy (Basel, Switzerland)
|April 30, 2021
Summary
This study connects quantum mechanics and thermodynamics in heat engines. We establish bounds for quantum heat engine efficiency using the uncertainty principle, linking quantum observables to measurable thermodynamic variables.
Area of Science:
- Quantum mechanics
- Thermodynamics
- Quantum heat engines
Background:
- Quantum systems can model heat engines, but the link between quantum observables and thermodynamic variables like efficiency is unclear.
- Understanding this connection is crucial for advancing quantum thermodynamics.
Purpose of the Study:
- To establish a clear link between quantum observables and thermodynamic variables in quantum heat engines.
- To explore the role of the uncertainty principle in determining heat engine efficiency.
Main Methods:
- Modeling quantum heat engines using quantum systems as working substances.
- Analyzing the sum uncertainty relation of position and momentum operators.
- Connecting quantum uncertainty relations to thermodynamic variables.
Main Results:
- Established a connection between the sum uncertainty relation and thermodynamic variables in a quantum heat engine model.
- Determined upper and lower bounds for the efficiency of quantum heat engines based on the uncertainty relation.
Conclusions:
- The uncertainty principle provides a fundamental constraint on the efficiency of quantum heat engines.
- This work bridges quantum mechanics and thermodynamics, offering a deeper understanding of quantum heat engine performance.
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