2019/06/05 by Ahana Chakraborty, Pranay Gorantla, Rajdeep Sensarma · 1 citation
Physics and Astronomy · #cond-mat.dis-nn #cond-mat.quant-gas
paper · pdf · doi:10.1103/physrevb.102.224306
published as Phys. Rev. B 102, 224306 (2020) · 5+4 pages, 2+5 figures
arxiv created 2019/06/05 · arxiv updated 2021/01/04
We study the dynamics of one and two dimensional disordered lattice bosons/fermions initialized to a Fock state with a pattern of 1 and 0 particles on A and A sites. For non-interacting systems we establish a universal relation between the long time density imbalance between A and A site, I(∞), the localization length ξl, and the geometry of the initial pattern. For alternating initial pattern of 1 and 0 particles in 1 dimension, I(∞)=\tanh[a/ξl], where a is the lattice spacing. For systems with mobility edge, we find analytic relations between I(∞), the effective localization length ξl and the fraction of localized states fl. The imbalance as a function of disorder shows non-analytic behaviour when the mobility edge passes through a band edge. For interacting bosonic systems, we show that dissipative processes lead to a decay of the memory of initial conditions. However, the excitations created in the process act as a bath, whose noise correlators retain information of the initial pattern. This sustains a finite imbalance at long times in strongly disordered interacting systems.