Quantization of the classical bistable-potential Mpemba effect shifts anomalous relaxation to ultra-cold temperatures and produces inverse and double-inverse Mpemba effects absent in classical dynamics.
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In U(1)-symmetric random circuits, initial states with lower stabilizer Rényi entropy generate nonstabilizerness faster than those with higher entropy, with the effect also depending on spatial charge structure and extending to SU(2) circuits and Hamiltonian dynamics.
A necessary and sufficient condition for the quantum imaginary-time Mpemba effect is that it depends only on the population ratios of excited states to the ground state.
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 dephased long-range XXZ chain, the SU(2)-symmetric ground state relaxes universally as e^{-2t} because its overlap with slower modes vanishes, yielding a strong quantum Mpemba effect.
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.
In the Descartes protocol, exact bounds on normalized warm temperature yield the Mpemba effect under time-delayed cooling, maximized when waiting time equals delay time, with smaller peak magnitude than prior two-reservoir protocols.
Simulations find slow t^0.15 growth in 3D XY phase ordering at zero temperature and Mpemba-like faster equilibration from higher initial temperatures in XY and Ising models.
citing papers explorer
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Quantization of the classical Mpemba effect
Quantization of the classical bistable-potential Mpemba effect shifts anomalous relaxation to ultra-cold temperatures and produces inverse and double-inverse Mpemba effects absent in classical dynamics.
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Nonstabilizerness Mpemba Effects
In U(1)-symmetric random circuits, initial states with lower stabilizer Rényi entropy generate nonstabilizerness faster than those with higher entropy, with the effect also depending on spatial charge structure and extending to SU(2) circuits and Hamiltonian dynamics.
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Theory of Quantum Imaginary-Time Mpemba Effect
A necessary and sufficient condition for the quantum imaginary-time Mpemba effect is that it depends only on the population ratios of excited states to the ground state.
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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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Symmetry-Induced Relaxation Comb and Strong Quantum Mpemba Effect in Long-Range XXZ Spin Chains
In a dephased long-range XXZ chain, the SU(2)-symmetric ground state relaxes universally as e^{-2t} because its overlap with slower modes vanishes, yielding a strong quantum Mpemba effect.
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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.
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The Mpemba effect in the Descartes protocol: A time-delayed Newton's law of cooling approach
In the Descartes protocol, exact bounds on normalized warm temperature yield the Mpemba effect under time-delayed cooling, maximized when waiting time equals delay time, with smaller peak magnitude than prior two-reservoir protocols.
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Phase Ordering in a few O(n) Symmetric Models: Slow Growth, Mpemba Effect and Experimental Relevance
Simulations find slow t^0.15 growth in 3D XY phase ordering at zero temperature and Mpemba-like faster equilibration from higher initial temperatures in XY and Ising models.