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Role of electron-electron interaction in the Mpemba effect in quantum dots
Juliane Graf1,2,3, Janine Splettstoesser2, Juliette Monsel2
1Institute for Theoretical Physics, University of Regensburg, D-93053 Regensburg, Germany.
The Mpemba effect, where hot water freezes faster than cold, is explored in quantum dots. Electron-electron interactions and system decay modes are key to understanding this phenomenon in quantum systems.
Area of Science:
- Quantum Thermodynamics
- Condensed Matter Physics
- Quantum Information
Background:
- The Mpemba effect, observed macroscopically, describes hot water freezing faster than cold.
- Recent studies explore the Mpemba effect in open quantum systems, extending its relevance.
- Understanding this effect in quantum systems requires nonequilibrium thermodynamics.
Purpose of the Study:
- Investigate the Mpemba effect in a single-level quantum dot coupled to a thermal bath.
- Analyze the influence of electron-electron interaction on the Mpemba effect.
- Derive criteria for the occurrence of the Mpemba effect in quantum dots.
Main Methods:
- Utilize nonequilibrium thermodynamics of Markovian systems.
- Analyze system dynamics through decay modes and fermionic duality.
- Employ nonequilibrium free energy and dot energy as measures of distance to equilibrium.
Main Results:
- The sign and magnitude of electron-electron interaction significantly impact the Mpemba effect.
- Fermionic duality provides physical insights into system decay modes.
- Criteria for the Mpemba effect are derived based on relaxation dynamics.
Conclusions:
- The study elucidates the quantum Mpemba effect in quantum dots, linking it to electron interactions.
- Experimental schemes for observation in quantum dots are proposed.
- This research bridges macroscopic observations with quantum phenomena.
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