Interaction-induced decoherence in non-Hermitian quantum walks of ultracold Bosons
arXiv:1205.4511 · doi:10.1103/PhysRevA.86.025601
Abstract
We study the influence of particle interaction on a quantum walk on a bipartite one-dimensional lattice with decay from every second site. The corresponding non-interacting (linear) system has been shown to have a topological transition described by the average displacement before decay. Here we use this topological quantity to distinguish coherent quantum dynamics from incoherent classical dynamics caused by a breaking of the translational symmetry. We furthermore analyze the behavior by means of a rate equation providing a quantitative description of the incoherent nonlinear dynamics.
Revised and extended version, 5 pages, 5 figures
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