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

TL;DR

This paper investigates a one-dimensional Bose gas with combined contact and inverse square interactions, analyzing its ground state properties and potential experimental signatures using renormalization group and bosonization techniques.

Contribution

It introduces the Calogero-Sutherland-Lieb-Liniger model for 1D cold atoms and analyzes its universal and non-universal properties with advanced theoretical methods.

Findings

Ground state properties characterized by renormalization group analysis.

Non-universal exponents calculated via bosonization.

Potential experimental measurement of exponents.

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.