Variational calculations for anisotropic solitons in dipolar Bose-Einstein condensates

Journal Article · Sun May 15 04:00:00 EDT 2011 · Physical Review. A

DOI:https://doi.org/10.1103/PHYSREVA.83.053604· OSTI ID:21546817

Eichler, Ruediger; Main, Joerg; Wunner, Guenter ^[1]

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1. Institut fuer Theoretische Physik 1, Universitaet Stuttgart, D-70550 Stuttgart (Germany)

We present variational calculations using a Gaussian trial function to calculate the ground state of the Gross-Pitaevskii equation (GPE) and to describe the dynamics of the quasi-two-dimensional solitons in dipolar Bose-Einstein condensates (BECs). Furthermore, we extend the ansatz to a linear superposition of Gaussians, improving the results for the ground state to exact agreement with numerical grid calculations using imaginary time and the split-operator method. We are able to give boundaries for the scattering length at which stable solitons may be observed in an experiment. By dynamic calculations with coupled Gaussians, we are able to describe the rather complex behavior of the thermally excited solitons. The discovery of dynamically stabilized solitons indicates the existence of such BECs at experimentally accessible temperatures.

• OSTI ID: 21546817
• Journal Information: Physical Review. A, Journal Name: Physical Review. A Journal Issue: 5 Vol. 83; ISSN 1050-2947; ISSN PLRAAN
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
74 ATOMIC AND MOLECULAR PHYSICS
ANISOTROPY
BOSE-EINSTEIN CONDENSATION
CALCULATION METHODS
DIMENSIONS
EQUATIONS
FUNCTIONS
GAUSS FUNCTION
LENGTH
QUASI PARTICLES
SCATTERING LENGTHS
SOLITONS
TWO-DIMENSIONAL CALCULATIONS
VARIATIONAL METHODS