A transient symmetry-breaking evolution accelerates relaxation to equilibrium or ground states in quantum systems for both real and imaginary time dynamics under U(1) symmetry.
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In a closed tripartite free-fermion setup, the central subsystem relaxes to the bath temperature without the Mpemba effect, with the relaxation fully characterised by generalised hydrodynamics.
For 1D polynomial double-well potentials, the classical Mpemba effect is not caused by the double-well shape but by a hard wall on the shallow side (or a steeper tail), vanishing in an infinite system.
citing papers explorer
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Quantum Pontus-Mpemba Effects in Real and Imaginary-time Dynamics
A transient symmetry-breaking evolution accelerates relaxation to equilibrium or ground states in quantum systems for both real and imaginary time dynamics under U(1) symmetry.
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A closed system setting for quantum thermalisation in free fermions
In a closed tripartite free-fermion setup, the central subsystem relaxes to the bath temperature without the Mpemba effect, with the relaxation fully characterised by generalised hydrodynamics.
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The Mpemba effect likes to hit a wall
For 1D polynomial double-well potentials, the classical Mpemba effect is not caused by the double-well shape but by a hard wall on the shallow side (or a steeper tail), vanishing in an infinite system.