Volume 101, Number 4, February 2013
|Number of page(s)||6|
|Published online||04 March 2013|
Many-body properties of quasi–one-dimensional boson gas across a narrow CIR
1 Institute for Advanced Study, Tsinghua University - Beijing, 100084, China
2 State Key Laboratory of Magnetic Resonance and Atomic and Molecular Physics, Wuhan Institute of Physics and Mathematics, Chinese Academy of Sciences - Wuhan 430071, China
3 Department of Theoretical Physics, Research School of Physics and Engineering, the Australian National University Canberra ACT 0200, Australia
Received: 21 November 2012
Accepted: 4 February 2013
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 δ-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.
PACS: 02.30.Ik – Integrable systems / 03.75.Hh – Static properties of condensates; thermodynamical, statistical, and structural properties / 05.30.Jp – Boson systems
© EPLA, 2013
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