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

2006/05/08 by Yue Yu, Yu, Yue
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #FOS: Physical sciences #Other Condensed Matter (cond-mat.other) #Quantum optics and atomic interactions #Statistical Mechanics (cond-mat.stat-mech) #Strong Light-Matter Interactions #cond-mat.other #cond-mat.stat-mech

paper · pdf · doi:10.48550/arxiv.cond-mat/0605197

5 pages, 5 figures

arxiv created 2006/05/08 · openalex publication_date 2006/05/08 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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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