Dynamical correlations in a dissipative XXZ spin chain preserve early-time transport universality classes (ballistic, KPZ, diffusive) with magnon ballistic features at finite magnetization, but acquire exponential damping at long times under Lindblad evolution.
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Microcanonical free cumulants of central-system observables scale universally with system-bath interaction strength in closed setups, connecting to thermalization dynamics.
Any Hamiltonian can be recast via Fock basis change as a local 1D lattice theory whose dispersion relation and non-integrability depend on its spectrum.
In the Bose-Hubbard model, density correlation fronts propagate ballistically for all interaction strengths, while the correlation transport distance shows sub-ballistic growth in the chaotic phase due to distance-dependent long-time tails and enhanced front decay.
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Dynamical correlations in a dissipative XXZ spin chain
Dynamical correlations in a dissipative XXZ spin chain preserve early-time transport universality classes (ballistic, KPZ, diffusive) with magnon ballistic features at finite magnetization, but acquire exponential damping at long times under Lindblad evolution.