### 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 language | English |
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Article number | 025014 |

Number of pages | 19 |

Journal | New Journal of Physics |

Volume | 12 |

DOIs | |

Publication status | Published - 26 Feb 2010 |

Externally published | Yes |

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### Cite this

*New Journal of Physics*,

*12*, [025014]. https://doi.org/10.1088/1367-2630/12/2/025014

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*New Journal of Physics*, vol. 12, 025014. https://doi.org/10.1088/1367-2630/12/2/025014

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

Research output: Contribution to journal › Article

TY - JOUR

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

AU - Schachenmayer, J

AU - Pupillo, G

AU - Daley, A J

PY - 2010/2/26

Y1 - 2010/2/26

N2 - 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.

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.

UR - http://www.scopus.com/inward/record.url?scp=77949506663&partnerID=8YFLogxK

U2 - 10.1088/1367-2630/12/2/025014

DO - 10.1088/1367-2630/12/2/025014

M3 - Article

VL - 12

JO - New Journal of Physics

JF - New Journal of Physics

SN - 1367-2630

M1 - 025014

ER -