In charge- and dipole-conserving fragmented systems, charge and dipole asymmetries exhibit Mpemba-like crossings on parametrically distinct timescales, driven by frozen sectors retaining asymmetry and active sectors relaxing.
Quantum Mpemba effect in chaotic systems with conservation laws
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abstract
Closed chaotic quantum systems relax after a quench into a Gibbs ensemble. At late times, the relaxation speed is determined by their conservation laws and hydrodynamics. As a result, there exist pairs of initial states which thermalize to the same ensemble, yet exhibit drastically different hydrodynamic relaxation. We show in two chaotic spin chains how this enables a simple and robust realization of the quantum Mpemba effect: a system initially closer to equilibrium relaxes slower than one that starts farther away, despite both approaching the same final state.
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A new Gaussian asymmetry measure is defined that quantifies the minimal distance from a Gaussian state to the manifold of symmetric Gaussian states while capturing established dynamical signatures of entanglement asymmetry.
GOE-like spectral chaos is neither necessary nor sufficient for quantum Mpemba crossings in a clean U(1)-conserving XXZ chain; the crossing is controlled by local charge-sector coherence structure instead.
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.
citing papers explorer
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Higher-order Symmetric Quantum Mpemba Effect in Fragmented Systems
In charge- and dipole-conserving fragmented systems, charge and dipole asymmetries exhibit Mpemba-like crossings on parametrically distinct timescales, driven by frozen sectors retaining asymmetry and active sectors relaxing.
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A Gaussian asymmetry measure
A new Gaussian asymmetry measure is defined that quantifies the minimal distance from a Gaussian state to the manifold of symmetric Gaussian states while capturing established dynamical signatures of entanglement asymmetry.
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Spectral Chaos Does Not Determine Quantum Mpemba Crossings
GOE-like spectral chaos is neither necessary nor sufficient for quantum Mpemba crossings in a clean U(1)-conserving XXZ chain; the crossing is controlled by local charge-sector coherence structure instead.
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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.