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Title: Ansatz from nonlinear optics applied to trapped Bose-Einstein condensates

Abstract

A simple analytical ansatz, which has been used to describe the intensity profile of the similariton laser (a laser with self-similar propagation of ultrashort pulses), is used as a variational wave function to solve the Gross-Pitaevskii equation for a wide range of interaction parameters. The variational form interpolates between the noninteracting density profile and the strongly interacting Thomas-Fermi profile smoothly. The simple form of the ansatz is modified for both cylindrically symmetric and completely anisotropic harmonic traps. The resulting ground-state density profile and energy are in very good agreement with both the analytical solutions in the limiting cases of interaction and the numerical solutions in the intermediate regime.

Authors:
; ;  [1]
  1. Department of Physics, Bilkent University, 06800 Ankara (Turkey)
Publication Date:
OSTI Identifier:
20982423
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physical Review. A; Journal Volume: 75; Journal Issue: 3; Other Information: DOI: 10.1103/PhysRevA.75.035601; (c) 2007 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
74 ATOMIC AND MOLECULAR PHYSICS; ANALYTICAL SOLUTION; ANISOTROPY; BOSE-EINSTEIN CONDENSATION; DENSITY; GROUND STATES; INTERACTIONS; LASER RADIATION; NONLINEAR OPTICS; NUMERICAL SOLUTION; PULSES; RADIATION PRESSURE; THOMAS-FERMI MODEL; TRAPPING; TRAPS; VARIATIONAL METHODS; WAVE FUNCTIONS

Citation Formats

Keceli, Murat, Ilday, F. Oe., and Oktel, M. Oe. Ansatz from nonlinear optics applied to trapped Bose-Einstein condensates. United States: N. p., 2007. Web. doi:10.1103/PHYSREVA.75.035601.
Keceli, Murat, Ilday, F. Oe., & Oktel, M. Oe. Ansatz from nonlinear optics applied to trapped Bose-Einstein condensates. United States. doi:10.1103/PHYSREVA.75.035601.
Keceli, Murat, Ilday, F. Oe., and Oktel, M. Oe. Thu . "Ansatz from nonlinear optics applied to trapped Bose-Einstein condensates". United States. doi:10.1103/PHYSREVA.75.035601.
@article{osti_20982423,
title = {Ansatz from nonlinear optics applied to trapped Bose-Einstein condensates},
author = {Keceli, Murat and Ilday, F. Oe. and Oktel, M. Oe.},
abstractNote = {A simple analytical ansatz, which has been used to describe the intensity profile of the similariton laser (a laser with self-similar propagation of ultrashort pulses), is used as a variational wave function to solve the Gross-Pitaevskii equation for a wide range of interaction parameters. The variational form interpolates between the noninteracting density profile and the strongly interacting Thomas-Fermi profile smoothly. The simple form of the ansatz is modified for both cylindrically symmetric and completely anisotropic harmonic traps. The resulting ground-state density profile and energy are in very good agreement with both the analytical solutions in the limiting cases of interaction and the numerical solutions in the intermediate regime.},
doi = {10.1103/PHYSREVA.75.035601},
journal = {Physical Review. A},
number = 3,
volume = 75,
place = {United States},
year = {Thu Mar 15 00:00:00 EDT 2007},
month = {Thu Mar 15 00:00:00 EDT 2007}
}