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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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.
Bath memory reshapes transport patterns in the extended phase of the AAH transition but mainly renormalizes timescales in the localized phase.
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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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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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Phase-dependent role of dissipation across the Aubry-Andr\'e-Harper transition
Bath memory reshapes transport patterns in the extended phase of the AAH transition but mainly renormalizes timescales in the localized phase.