Time-dependent currents of one-dimensional bosons in an optical lattice

J Schachenmayer, G Pupillo, A J Daley

Research output: Contribution to journalArticle

11 Citations (Scopus)

Abstract

We analyse the time dependence of currents in a one-dimensional (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 characterize 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.

Original languageEnglish
Article number025014
Number of pages19
JournalNew Journal of Physics
Volume12
DOIs
Publication statusPublished - 26 Feb 2010
Externally publishedYes

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bosons
time dependence
crossovers
particle interactions
decay rates
condensates
slip
deviation
scaling
predictions
gases

Cite this

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Time-dependent currents of one-dimensional bosons in an optical lattice. / Schachenmayer, J; Pupillo, G; Daley, A J.

In: New Journal of Physics, Vol. 12, 025014, 26.02.2010.

Research output: Contribution to journalArticle

TY - JOUR

T1 - Time-dependent currents of one-dimensional bosons in an optical lattice

AU - Schachenmayer, J

AU - Pupillo, G

AU - Daley, A J

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AB - We analyse the time dependence of currents in a one-dimensional (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 characterize 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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