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Quantum Mpemba Effect from Non-Normal Dynamics.

Stefano Longhi1,2

  • 1Dipartimento di Fisica, Politecnico di Milano, Piazza L. da Vinci 32, I-20133 Milano, Italy.

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View abstract on PubMed

Summary
This summary is machine-generated.

Researchers discovered a new quantum Mpemba effect mechanism in memoryless quantum systems. Non-orthogonal Liouvillian eigenmodes cause anomalous early-time relaxation, distinct from prior explanations.

Keywords:
Mpemba effectopen quantum systemswaveguide quantum electrodynamics

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Area of Science:

  • Quantum physics
  • Quantum thermodynamics

Background:

  • The quantum Mpemba effect describes faster relaxation from a farther non-equilibrium state.
  • Existing explanations involve strong Mpemba effects, non-Markovian memory, and system-reservoir entanglement.

Purpose of the Study:

  • To identify a new mechanism for the quantum Mpemba effect in Markovian quantum dynamics.
  • To explain anomalous relaxation via the non-normal nature of the Liouvillian superoperator.

Main Methods:

  • Theoretical analysis of Liouvillian superoperator non-normality.
  • Modeling quantum emitter-waveguide interactions in a waveguide quantum electrodynamics system.

Main Results:

  • Non-orthogonal Liouvillian eigenmodes lead to transient interference, causing anomalous early-time relaxation.
  • This mechanism, distinct from strong Mpemba effects, can result in slower relaxation for states closer to equilibrium.
  • Demonstrated in a waveguide quantum electrodynamics model where couplings induce non-normality.

    • Conclusions:

    • A novel, universal source of Mpemba-like behavior in memoryless quantum systems is revealed.
    • Expands the theoretical understanding of anomalous relaxation in quantum systems.
    • Suggests new control possibilities in engineered quantum platforms.