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arXiv · 1412.6855

Monopole excitations of a harmonically trapped one-dimensional Bose gas from the ideal gas to the Tonks-Girardeau regime

S. Choi·V. Dunjko·Z. D. Zhang·M. Olshanii
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Abstract

Using a time-dependent modified nonlinear Schr\"odinger equation (m-NLSE) -- where the conventional chemical potential proportional to the density is replaced by the one inferred from Lieb-Liniger's exact solution -- we study frequencies of the collective monopole excitations of a one-dimensional (1D) Bose gas. We find that our method accurately reproduces the results of a recent experimental study [E. Haller et al., Science Vol. 325, 1224 (2009)] in the full spectrum of interaction regimes from the ideal gas, through the mean-field regime, through the mean-field Thomas-Fermi regime, all the way to the Tonks-Giradeau gas. While the former two are accessible by the standard time-dependent NLSE and inaccessible by the time-dependent local density approximation (LDA), the situation reverses in the latter case. However, the m-NLSE treats all these regimes within a single numerical method.

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S. Choi, V. Dunjko, Z. D. Zhang, M. Olshanii. 2014-12-22. Monopole excitations of a harmonically trapped one-dimensional Bose gas from the ideal gas to the Tonks-Girardeau regime. https://doi.org/10.1103/physrevlett.115.115302

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