Quantum mechanics of one-dimensional trapped tonks gases

M. D. Girardeau, Ewan M Wright

Research output: Contribution to journalArticle

22 Citations (Scopus)

Abstract

Several experimental groups are currently working towards realizing quasi-one-dimensional (1D) atom de Broglie waveguides and loading them with ultracold atoms. The dynamics becomes truly ID in a regime (Tonks gas) of low temperatures and densities, and large positive scattering lengths for which the transverse mode becomes frozen, in which case the many-body Schrödinger dynamics becomes exactly soluble via a Fermi-Bose mapping theorem. In this paper we review our recent work on the exact ground state and quantum dynamics of 1D Tonks gases and assess the possibility of approaching the Tonks regime using Bessel beam optical dipole traps.

Original languageEnglish (US)
Pages (from-to)8-20
Number of pages13
JournalLaser Physics
Volume12
Issue number1
StatePublished - Jan 1 2002

Fingerprint

Quantum theory
quantum mechanics
Gases
gases
Atoms
Ground state
atoms
Waveguides
theorems
traps
Scattering
dipoles
waveguides
ground state
scattering
Temperature

ASJC Scopus subject areas

  • Physics and Astronomy (miscellaneous)
  • Atomic and Molecular Physics, and Optics

Cite this

Quantum mechanics of one-dimensional trapped tonks gases. / Girardeau, M. D.; Wright, Ewan M.

In: Laser Physics, Vol. 12, No. 1, 01.01.2002, p. 8-20.

Research output: Contribution to journalArticle

Girardeau, M. D. ; Wright, Ewan M. / Quantum mechanics of one-dimensional trapped tonks gases. In: Laser Physics. 2002 ; Vol. 12, No. 1. pp. 8-20.
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