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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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.
In an SU(2)-symmetric long-range XXZ chain with dephasing, highly symmetric states relax via an exact Liouvillian eigenmode of rate -2 independent of size, enabling a strong quantum Mpemba effect.
A hard boundary drives the 1D Mpemba effect for polynomial potentials, not the double-well shape.
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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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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Symmetry-Protected Fast Relaxation and the Strong Quantum Mpemba Effect
In an SU(2)-symmetric long-range XXZ chain with dephasing, highly symmetric states relax via an exact Liouvillian eigenmode of rate -2 independent of size, enabling a strong quantum Mpemba effect.
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The Mpemba effect likes to hit a wall
A hard boundary drives the 1D Mpemba effect for polynomial potentials, not the double-well shape.
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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.