Calogero-Sutherland-Lieb-Liniger gas in one-dimensional cold atoms

Details Calogero-Sutherland-Lieb-Liniger gas in one-dimensional cold atoms Calogero-Sutherland-Lieb-Liniger gas in one-dimensional cold atoms

2006-05-08

arxiv.org/abs/cond-mat/0605197v1

Physics

Condensed Matter

Other Condensed Matter

5 pages, 5 figures

Scientific paper

We study an array of cigar-like Bose atom condensates confined in a cylinder and examine the competition between the dipole-dipole and the short range interactions. The system is effectively reduced to a one-dimensional boson one with a contact and inverse square interactions. We call this system the Calogero-Sutherland-Lieb-Liniger gas. The universal properties of the ground state are analyzed by the renormalization group theory. By using the bosonization techniques to the excluson gas, we calculate the non-universal exponent depending on the microscopic parameters. This exponent may be experimentally measurable.

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