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.
Rok vydání:	2013
Předmět:	Condensed Matter - Quantum Gases
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
Externí odkaz:	http://arxiv.org/abs/1312.7005 Zobrazit plný text záznamu View this record from Arxiv