Transition from three dimensions to one dimension in Bose gases at zero temperature

Journal Article · Thu Jul 01 04:00:00 EDT 2004 · Physical Review. A

DOI:https://doi.org/10.1103/PhysRevA.70.013606· OSTI ID:20645786

Salasnich, L; Reatto, L ^[1]; Parola, A ^[2]

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1. Dipartimento di Fisica and INFM, Universita di Milano, Via Celoria 16, 20133 Milan (Italy)
2. Departimento di Scienze Fisiche and INFM, Universita dell'Insubria, Via Valeggio 11, 23100 Como (Italy)

We investigate the effects of dimensional reduction in Bose gases induced by a strong harmonic confinement in the transverse cylindric radial direction. By using a generalized Lieb-Liniger theory, based on a variational treatment of the transverse width of the Bose gas, we analyze the transition from a three-dimensional Bose-Einstein condensate to the one-dimensional Tonks-Girardeau gas. The sound velocity and the frequency of the lowest compressional mode give a clear signature of the regime involved. We also study the case of negative scattering length deriving the phase diagram of the Bose gas (uniform, single soliton, multisoliton, and collapsed) in toroidal confinement.

• OSTI ID: 20645786
• Journal Information: Physical Review. A, Journal Name: Physical Review. A Journal Issue: 1 Vol. 70; ISSN 1050-2947; ISSN PLRAAN
• Country of Publication: United States
• Language: English

Related Subjects

74 ATOMIC AND MOLECULAR PHYSICS
BOSE-EINSTEIN CONDENSATION
BOSE-EINSTEIN GAS
CONFINEMENT
ONE-DIMENSIONAL CALCULATIONS
PHASE DIAGRAMS
PHASE TRANSFORMATIONS
SCATTERING LENGTHS
SOLITONS
SOUND WAVES
THREE-DIMENSIONAL CALCULATIONS
TRANSITION TEMPERATURE
VARIATIONAL METHODS
VELOCITY