Breakdown of the scale invariance in the vicinity of Tonks-Girardeau gas
Autor: | Zhang, Z. D., Astrakharchik, G. E., Aveline, D. C., Choi, S., Perrin, H., Bergeman, T. H., Olshanii, M. |
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Rok vydání: | 2013 |
Předmět: | |
Zdroj: | Phys. Rev. A 89, 063616 (2014) |
Druh dokumentu: | Working Paper |
DOI: | 10.1103/PhysRevA.89.063616 |
Popis: | In this article, we consider the monopole excitations of the harmonically trapped Bose gas in the vicinity of the Tonks-Girardeau limit. Using Girardeau's Fermi-Bose duality and subsequently an effective fermion-fermion odd-wave interaction, we obtain the dominant correction to the scale-invariance-protected value of the excitation frequency, for microscopically small excitation amplitudes. We produce a series of diffusion Monte Carlo results that confirm our analytic prediction for three particles. And less expectedly, our result stands in excellent agreement with the result of a hydrodynamic simulation of the microscopically large but macroscopically small excitations. Comment: 8 pages, 3 figures |
Databáze: | arXiv |
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