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

Yue Yu
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Abstract

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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Yue Yu. 2006-05-08. Calogero-Sutherland-Lieb-Liniger gas in one-dimensional cold atoms. https://arxiv.org/abs/cond-mat/0605197

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