Time-dependent currents of 1D bosons in an optical lattice

Details Time-dependent currents of 1D bosons in an optical lattice Time-dependent currents of 1D bosons in an optical lattice

2009-08-18

arxiv.org/abs/0908.2485v2

New J. Phys. 12 (2010) 025014

Physics

Condensed Matter

Quantum Gases

19 pages, 10 figures

Scientific paper

10.1088/1367-2630/12/2/025014

We analyse the time-dependence of currents in a 1D Bose gas in an optical lattice. For a 1D system, the stability of currents induced by accelerating the lattice exhibits a broad crossover as a function of the magnitude of the acceleration, and the strength of the inter-particle interactions. This differs markedly from mean-field results in higher dimensions. Using the infinite Time Evolving Block Decimation algorithm, we characterise this crossover by making quantitative predictions for the time-dependent behaviour of the currents and their decay rate. We also compute the time-dependence of quasi-condensate fractions which can be measured directly in experiments. We compare our results to calculations based on phase-slip methods, finding agreement with the scaling as the particle density increases, but with significant deviations near unit filling.

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