Many-body properties of quasi-one dimensional Boson gas across a narrow CIR

Abstract

We study strong interaction effects in a one-dimensional (1D) Boson gas across a narrow confinement induced resonance (CIR). In contrast to the zero range potential, the 1D two-body interaction in the narrow CIR can be written as a polynomial of derivative $\delta$-function interaction on many-body level. Using the asymptotic Bethe ansatz, we find that the low energy physics of this many-body problem is described by the Tomonaga-Luttinger liquid where the Luttinger parameters are essentially modified by an effective finite range parameter $v$. This parameter drastically alters quantum criticality and universal thermodynamics of the gas. In particular, it drives the Tonks-Girardeau (TG) gas from non-mutual Fermi statistics to mutual statistics or to a more exclusive super TG gas. This novel feature is further discussed in terms of the breathing mode which is experimentally measurable.

arXiv comment5.2 pages, 4 figures, final version accepted by EPL

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Cited by in corpus (11)

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• Field-theoretical aspects of one-dimensional Bose and Fermi gases with contact interactions
• Comparative study of one-dimensional Bose and Fermi gases with contact interactions from the viewpoint of universal relations for correlation functions
• Many-body stabilization of a resonant p-wave Fermi gas in one dimension
• Dissipative Effects on the Superfluid to Insulator Transition in Mixed-dimensional Optical Lattices
• Width of the confinement-induced resonance in a quasi-one-dimensional trap with transverse anisotropy
• Ground-state properties of dilute spinless fermions in fractional dimensions
• Ultracold atoms in quasi-1D traps: a step beyond the Lieb-Liniger model
• One-dimensional ultracold atomic gases: Impact of the effective range on integrability
• Phase Equilibrium of Binary Mixtures in Mixed Dimensions
• Local manipulation of quantum magnetism in 1D ultracold Fermi gases across narrow resonances