Ansatz from nonlinear optics applied to trapped BoseEinstein condensates
Abstract
A simple analytical ansatz, which has been used to describe the intensity profile of the similariton laser (a laser with selfsimilar propagation of ultrashort pulses), is used as a variational wave function to solve the GrossPitaevskii equation for a wide range of interaction parameters. The variational form interpolates between the noninteracting density profile and the strongly interacting ThomasFermi profile smoothly. The simple form of the ansatz is modified for both cylindrically symmetric and completely anisotropic harmonic traps. The resulting groundstate 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:
 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; BOSEEINSTEIN CONDENSATION; DENSITY; GROUND STATES; INTERACTIONS; LASER RADIATION; NONLINEAR OPTICS; NUMERICAL SOLUTION; PULSES; RADIATION PRESSURE; THOMASFERMI 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 BoseEinstein 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 BoseEinstein 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 BoseEinstein condensates". United States.
doi:10.1103/PHYSREVA.75.035601.
@article{osti_20982423,
title = {Ansatz from nonlinear optics applied to trapped BoseEinstein 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 selfsimilar propagation of ultrashort pulses), is used as a variational wave function to solve the GrossPitaevskii equation for a wide range of interaction parameters. The variational form interpolates between the noninteracting density profile and the strongly interacting ThomasFermi profile smoothly. The simple form of the ansatz is modified for both cylindrically symmetric and completely anisotropic harmonic traps. The resulting groundstate 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}
}

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