Quantum mechanics of one-dimensional trapped Tonks gases

Details Quantum mechanics of one-dimensional trapped Tonks gases Quantum mechanics of one-dimensional trapped Tonks gases

2001-04-30

arxiv.org/abs/cond-mat/0104585v1

Physics

Condensed Matter

Soft Condensed Matter

29 pages including 10 figures, uses epsfig. Submitted for publication in Laser Physics, 2001 special edition on BEC

Scientific paper

Several experimental groups are currently working towards realizing quasi-one-dimensional (1D) atom waveguides and loading them with ultracold atoms. The dynamics becomes truly 1D 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 Schrodinger 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.

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