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 Rayleigh-quotient-based thermodynamic geometry reformulates relaxation dynamics as entropic stiffness versus frictional dissipation, with linear vanishing of the slow relaxation rate near the critical temperature in a van der Waals gas.
Analytical expressions are derived for external temperature protocols that produce any prescribed internal temperature trajectory using Newtonian cooling and microscopic models, including cases with Mpemba effects.
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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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Thermodynamic Geometry of Relaxation
A Rayleigh-quotient-based thermodynamic geometry reformulates relaxation dynamics as entropic stiffness versus frictional dissipation, with linear vanishing of the slow relaxation rate near the critical temperature in a van der Waals gas.
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Inverse engineering of cooling protocols: from normal behavior to Mpemba effects
Analytical expressions are derived for external temperature protocols that produce any prescribed internal temperature trajectory using Newtonian cooling and microscopic models, including cases with Mpemba effects.