Beyond the Fermi pseudopotential: A modified Gross-Pitaevskii equation

Journal Article · Thu May 01 00:00:00 EDT 2003 · Physical Review. A

DOI:https://doi.org/10.1103/PhysRevA.67.053612· OSTI ID:20636408

Haixiang, Fu; Yuzhu, Wang ^[1]; Bo, Gao ^[1]

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1. Shanghai Institute of Optics and Fine Mechanics, Chinese Academy of Sciences, Shanghai 201800 (China)

We present an effective potential and the corresponding modified Gross-Pitaevskii equation, which account for the energy dependence of the two-body scattering amplitude through an effective-range expansion. For the ground-state energy of a trapped condensate, the theory leads to what we call a shape-dependent confinement correction that improves agreements with diffusion Monte Carlo calculations. The theory illustrates, for relatively strong confinement and/or high density, how the shape dependence on atom-atom interaction can come into play in a many-atom quantum system.

• OSTI ID: 20636408
• Journal Information: Physical Review. A, Vol. 67, Issue 5; Other Information: DOI: 10.1103/PhysRevA.67.053612; (c) 2003 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
ATOMS
BOSE-EINSTEIN CONDENSATION
CONFINEMENT
CORRECTIONS
DENSITY
DIFFUSION
ENERGY DEPENDENCE
EXPANSION
FERMI INTERACTIONS
GROUND STATES
MONTE CARLO METHOD
POTENTIALS
QUANTIZATION
QUANTUM FLUIDS
SCATTERING AMPLITUDES
TRAPPING
TWO-BODY PROBLEM
WAVE EQUATIONS