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Physics Reports

Cold atoms in dissipative optical lattices

G. Grynberg, C. Mennerat-Robilliard

Published Dec 1, 2001• 264 citations
Publisher
DOI
10.1016/s0370-1573(01)00017-5

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Abstract We numerically investigate the quantum effects of cold atoms in a one-dimensional driven optical lattice in the presence of distance-selective dissipation and external driving. The combination of distance-selective dissipation, external driving, on-site interaction and tunneling dominates the system dynamics. The mean-field theory is used to approximate the system. In order to analyze the system dynamics, we calculate the relative density of atoms on each site and the standard deviation of relative density. Furthermore, the influence laws of environmental factors on the system dynamics are found out by the numerical simulation. Especially, we study the dissipative dynamics of the system under a time varying external driving. The results of the study are effectively applied to manipulate the distribution of cold atoms in an optical lattice and drive the system to the desired quantum state.
We present a sequence of driven-dissipative protocols for controlling cold atoms in tilted optical lattices. These experimentally accessible examples are templates that demonstrate how dissipation can be used to manipulate quantum many-body systems. We consider bosonic atoms trapped in a tilted optical lattice, immersed in a superfluid bath, and excited by coherent Raman lasers. With these ingredients, we are able to controllably transport atoms in the lattice and produce self-healing quantum states: a Mott insulator and the topologically ordered spin-1 Affleck-Kennedy-Lieb-Tasaki state.