Quantum Monte Carlo study of the three- to one-dimensional crossover for a trapped Bose gas

Journal Article · Fri Nov 01 00:00:00 EST 2002 · Physical Review. A

DOI:https://doi.org/10.1103/PhysRevA.66.053614· OSTI ID:20632344

Astrakharchik, G E; Giorgini, S ^[1]

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1. Dipartimento di Fisica, Universita di Trento, and Istituto Nazionale per la Fisica della Materia, I-38050 Povo (Italy)

We investigate the crossover from three to one dimension in a Bose gas confined in highly anisotropic traps. By using quantum Monte Carlo techniques, we solve the many-body Schroedinger equation for the ground state and obtain exact results for the energy per particle and the mean square radii of the cloud in the transverse and longitudinal direction. Results are compared with the predictions of mean-field theory obtained from the Gross-Pitaevskii equation and with the one-dimensional Lieb-Liniger equation of state. We explicitly prove the occurrence of important beyond mean-field effects, including the appearance of Fermi-like properties as the system enters the Tonks gas regime.

• OSTI ID: 20632344
• Journal Information: Physical Review. A, Vol. 66, Issue 5; Other Information: DOI: 10.1103/PhysRevA.66.053614; (c) 2002 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 1050-2947
• Country of Publication: United States
• Language: English

Related Subjects

74 ATOMIC AND MOLECULAR PHYSICS
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ANISOTROPY
BOSE-EINSTEIN GAS
BOSONS
EQUATIONS OF STATE
GROUND STATES
MANY-BODY PROBLEM
MEAN-FIELD THEORY
MONTE CARLO METHOD
ONE-DIMENSIONAL CALCULATIONS
QUANTUM MECHANICS
SCHROEDINGER EQUATION
TRAPPING
TRAPS