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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Using the truncated Wigner approximation on large 1D and 2D systems, the authors find a pronounced slowdown in magnetization relaxation and transient signatures of quantum kinetically constrained dynamics starting from polarized and Néel states.
A tensor-network solver extended with jump-counting computes electron currents in up to 50 quantum dots, matching traditional solvers for small systems but with orders of magnitude less memory and time.
A review that contrasts common assumptions about the Lindblad equation with refined expectations drawn from examples, culminating in a checklist for assessing its breakdown.
Introductory lecture notes on tensor networks with emphasis on matrix-product states, their algorithms, higher-dimensional generalizations, and applications to mixed states and open quantum systems, accompanied by Julia code.
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Quantum to classical relaxation dynamics of the dissipative Rydberg gas
Using the truncated Wigner approximation on large 1D and 2D systems, the authors find a pronounced slowdown in magnetization relaxation and transient signatures of quantum kinetically constrained dynamics starting from polarized and Néel states.