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Non-Markovian Quantum Mpemba Effect.

David J Strachan1, Archak Purkayastha2, Stephen R Clark1

  • 1University of Bristol, H. H. Wills Physics Laboratory, Bristol BS8 1TL, United Kingdom.

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|June 23, 2025
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Summary
This summary is machine-generated.

The Mpemba effect, where hot water freezes faster than cold, is explored in quantum systems. This study reveals new quantum Mpemba effects linked to memory in non-Markovian dynamics, showing faster relaxation to steady states.

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Area of Science:

  • Quantum physics
  • Thermodynamics

Background:

  • The Mpemba effect describes faster cooling of hotter water.
  • Classical explanations often involve memory effects.
  • The quantum Mpemba effect and its relation to memory are unexplored.

Purpose of the Study:

  • Investigate the Mpemba effect in non-Markovian open quantum systems.
  • Explore the role of memory in quantum accelerated relaxation.
  • Identify new classes of quantum Mpemba effects.

Main Methods:

  • Analysis of general non-Markovian open quantum systems.
  • Study of quantum dynamics with finite memory times.
  • Examination of relaxation to steady states from various initial conditions.

Main Results:

  • Discovery of new quantum Mpemba effects absent in Markovian dynamics.
  • Demonstration that non-Markovian systems can exhibit accelerated relaxation.
  • Identification of initial states enabling relaxation within the system's finite memory time.

Conclusions:

  • Non-Markovian dynamics introduce novel quantum Mpemba effects.
  • Memory effects are crucial for understanding accelerated relaxation in quantum systems.
  • The findings offer new insights into quantum thermodynamics and open quantum systems.