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Title: Transition from a Tonks-Girardeau gas to a super-Tonks-Girardeau gas as an exact many-body dynamics problem

Abstract

We investigate transition of a one-dimensional interacting Bose gas from a strongly repulsive regime to a strongly attractive regime, where a stable highly excited state known as the super Tonks-Girardeau gas was experimentally realized very recently. By solving exact dynamics of the integrable Lieb-Liniger Bose gas, we demonstrate that such an excited gas state can be a very stable dynamic state. Furthermore we calculate the breathing mode of the super Tonks-Girardeau gas which is found to be in good agreement with experimental observation. Our results show that the highly excited super Tonks-Girardeau gas phase can be well understood from the fundamental theory of the solvable Bose gas.

Authors:
; ;  [1];  [2];  [3]
  1. Institute of Physics, Chinese Academy of Sciences, Beijing 100190 (China)
  2. Department of Physics, University of Science and Technology Beijing, Beijing 100083 (China)
  3. Department of Theoretical Physics, Research School of Physics and Engineering, Australian National University, Canberra ACT 0200 (Australia)
Publication Date:
OSTI Identifier:
21408358
Resource Type:
Journal Article
Journal Name:
Physical Review. A
Additional Journal Information:
Journal Volume: 81; Journal Issue: 3; Other Information: DOI: 10.1103/PhysRevA.81.031609; (c) 2010 The American Physical Society; Journal ID: ISSN 1050-2947
Country of Publication:
United States
Language:
English
Subject:
74 ATOMIC AND MOLECULAR PHYSICS; 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; BOSE-EINSTEIN GAS; EXCITED STATES; INTEGRAL CALCULUS; MANY-BODY PROBLEM; ONE-DIMENSIONAL CALCULATIONS; ENERGY LEVELS; MATHEMATICS

Citation Formats

Chen Shu, Guan Liming, Yin Xiangguo, Hao Yajiang, and Guan Xiwen. Transition from a Tonks-Girardeau gas to a super-Tonks-Girardeau gas as an exact many-body dynamics problem. United States: N. p., 2010. Web. doi:10.1103/PHYSREVA.81.031609.
Chen Shu, Guan Liming, Yin Xiangguo, Hao Yajiang, & Guan Xiwen. Transition from a Tonks-Girardeau gas to a super-Tonks-Girardeau gas as an exact many-body dynamics problem. United States. doi:10.1103/PHYSREVA.81.031609.
Chen Shu, Guan Liming, Yin Xiangguo, Hao Yajiang, and Guan Xiwen. Mon . "Transition from a Tonks-Girardeau gas to a super-Tonks-Girardeau gas as an exact many-body dynamics problem". United States. doi:10.1103/PHYSREVA.81.031609.
@article{osti_21408358,
title = {Transition from a Tonks-Girardeau gas to a super-Tonks-Girardeau gas as an exact many-body dynamics problem},
author = {Chen Shu and Guan Liming and Yin Xiangguo and Hao Yajiang and Guan Xiwen},
abstractNote = {We investigate transition of a one-dimensional interacting Bose gas from a strongly repulsive regime to a strongly attractive regime, where a stable highly excited state known as the super Tonks-Girardeau gas was experimentally realized very recently. By solving exact dynamics of the integrable Lieb-Liniger Bose gas, we demonstrate that such an excited gas state can be a very stable dynamic state. Furthermore we calculate the breathing mode of the super Tonks-Girardeau gas which is found to be in good agreement with experimental observation. Our results show that the highly excited super Tonks-Girardeau gas phase can be well understood from the fundamental theory of the solvable Bose gas.},
doi = {10.1103/PHYSREVA.81.031609},
journal = {Physical Review. A},
issn = {1050-2947},
number = 3,
volume = 81,
place = {United States},
year = {2010},
month = {3}
}