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

Abstract

Using a time-dependent modified nonlinear Schrödinger 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.

5 pages, 2 figures. To appear in Physical Review Letters

References in corpus (4)

• Quench-induced breathing mode of one-dimensional Bose gases
• Reentrant behavior of the breathing-mode-oscillation frequency in a one-dimensional Bose gas
• Breakdown of scale invariance in a quasi-two-dimensional Bose gas due to the presence of the third dimension
• Breakdown of the scale invariance in the vicinity of Tonks-Girardeau gas

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