Quantum mechanics of one-dimensional trapped tonks gases

M. D. Girardeau, E. M. Wright

Research output: Contribution to journalArticlepeer-review

21 Scopus citations


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
Issue number1
StatePublished - Jan 1 2002

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics
  • Instrumentation
  • Condensed Matter Physics
  • Industrial and Manufacturing Engineering


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