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Quantum Mpemba Effect in a Quantum Dot with Reservoirs.

Amit Kumar Chatterjee1, Satoshi Takada2, Hisao Hayakawa1

  • 1Yukawa Institute for Theoretical Physics, Kyoto University, Kitashirakawa Oiwakecho, Sakyo-ku, Kyoto 606-8502, Japan.

Physical Review Letters
|September 8, 2023
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Summary
This summary is machine-generated.

Researchers observed the quantum Mpemba effect in quantum dots, where initially hotter systems surprisingly cooled faster than colder ones. This thermal quantum Mpemba effect challenges conventional understanding of relaxation dynamics.

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Area of Science:

  • Quantum physics
  • Condensed matter physics
  • Statistical mechanics

Background:

  • The Mpemba effect describes the counterintuitive phenomenon where hotter water can freeze faster than colder water.
  • Understanding anomalous relaxation dynamics is crucial in various physical systems.

Purpose of the Study:

  • To demonstrate and investigate the quantum Mpemba effect in a quantum dot system.
  • To identify the underlying mechanisms responsible for this anomalous thermal behavior.

Main Methods:

  • Utilizing the Anderson model to describe a quantum dot coupled to two reservoirs.
  • Analyzing the system's temperature evolution from different initial conditions (hot and cold).

Main Results:

  • The study successfully demonstrates the thermal quantum Mpemba effect in the quantum dot system.
  • Temperatures of initially hot and cold systems cross at a finite time, reversing their thermal identities.
  • The slowest relaxation mode, dominant in Markovian systems, does not drive this quantum Mpemba effect.

Conclusions:

  • The quantum Mpemba effect arises from a combination of remaining relaxation modes, not the slowest one.
  • Analytical conditions for achieving the quantum Mpemba effect in quantum dot density matrix elements are provided.