Universal semiclassical dynamics in disordered two-dimensional systems

2024/09/19 by Łukasz Iwanek, Marcin Mierzejewski, Iwanek, Łukasz +7 · 1 citation
Physics and Astronomy · Computer Science · #Quantum chaos and dynamical systems #Theoretical and Computational Physics #Nonlinear Dynamics and Pattern Formation

paper · pdf · doi:10.48550/arxiv.2409.12956

Abstract

The dynamics of disordered two-dimensional systems is much less understood than the dynamics of disordered chains, mainly due to the lack of appropriate numerical methods. We demonstrate that a single-trajectory version of the fermionic truncated Wigner approximation (fTWA) gives unexpectedly accurate results for the dynamics of one-dimensional (1D) systems with moderate or strong disorder. Additionally, the computational complexity of calculations carried out within this approximation is small enough to enable studies of two-dimensional (2D) systems larger than standard fTWA. Using this method, we analyze the dynamics of interacting spinless fermions propagating on disordered 1D and 2D lattices. We find for both spatial dimensions that the imbalance exhibits a universal dependence on the rescaled time t/ξ_W, where in 2D the time-scale ξ_W follows a stretched-exponential dependence on disorder strength.

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