Published October 10, 2003
| Version v1
Journal article
One-dimensional bosons in three-dimensional traps
- 1. Institut fuer Theoretische Physik, Universitaet Wien, Boltzmanngasse 5, A-1090 Vienna (Austria)
- 2. Department of Physics, Jadwin Hall, Princeton University, P.O. Box 708, Princeton, New Jersey 08544 (United States)
Description
Recent experimental and theoretical work has indicated conditions in which a trapped, low density Bose gas ought to behave like the 1D delta-function Bose gas solved by Lieb and Liniger. Up until now, the theoretical arguments have been based on variational/perturbative ideas or numerical investigations. There are four parameters: density, transverse and longitudinal dimensions, and scattering length. In this paper we explicate five parameter regions in which various types of 1D or 3D behavior occur in the ground state. Our treatment is based on a rigorous analysis of the many-body Schroedinger equation
Additional details
Identifiers
Publishing Information
- Journal Title
- Physical Review Letters
- Journal Volume
- 91
- Journal Issue
- 15
- Journal Page Range
- p. 150401-150401.4
- ISSN
- 0031-9007
- CODEN
- PRLTAO
INIS
- Country of Publication
- United States
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- INIS RN
- 36009632
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; S75: CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY;
- Descriptors DEI
- BOSE-EINSTEIN GAS; BOSONS; DELTA FUNCTION; DENSITY; GROUND STATES; MANY-BODY PROBLEM; ONE-DIMENSIONAL CALCULATIONS; SCATTERING LENGTHS; SCHROEDINGER EQUATION; THREE-DIMENSIONAL CALCULATIONS; TRAPPING; TRAPS; VARIATIONAL METHODS
- Descriptors DEC
- CALCULATION METHODS; DIFFERENTIAL EQUATIONS; DIMENSIONS; ENERGY LEVELS; EQUATIONS; FUNCTIONS; LENGTH; PARTIAL DIFFERENTIAL EQUATIONS; PHYSICAL PROPERTIES; WAVE EQUATIONS
Optional Information
- Notes
- (c) 2003 The American Physical Society