One-dimensional density waves of ultracold bosons in an optical lattice -: art. no. 053606

被引:55
作者
Kollath, C [1 ]
Schollwöck, U
von Delft, J
Zwerger, W
机构
[1] Rhein Westfal TH Aachen, Inst Theoret Phys C, D-52056 Aachen, Germany
[2] Univ Munich, Sekt Phys, D-80333 Munich, Germany
[3] Univ Innsbruck, Inst Theoret Phys, A-6020 Innsbruck, Austria
来源
PHYSICAL REVIEW A | 2005年 / 71卷 / 05期
关键词
D O I
10.1103/PhysRevA.71.053606
中图分类号
O43 [光学];
学科分类号
070207 ; 0803 ;
摘要
We investigate the propagation of density-wave packets in a Bose-Hubbard model using the adaptive time-dependent density-matrix renormalization group method. We discuss the decay of the amplitude with time and the dependence of the velocity on density, interaction strength, and the height of the perturbation in a numerically exact way, covering arbitrary interactions and amplitudes of the perturbation. In addition, we investigate the effect of self-steepening due to the amplitude dependence of the velocity and discuss the possibilities for an experimental detection of the moving wave packet in time-of-flight pictures. By comparing the sound velocity to theoretical predictions, we determine the limits of a Gross-Pitaevskii- or Bogoliubov-type description and the regime where repulsive one-dimensional Bose gases exhibit fermionic behavior.
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页数:9
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