Variational calculations for anisotropic solitons in dipolar BoseEinstein condensates
Abstract
We present variational calculations using a Gaussian trial function to calculate the ground state of the GrossPitaevskii equation (GPE) and to describe the dynamics of the quasitwodimensional solitons in dipolar BoseEinstein 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 splitoperator 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.
 Publication:

Physical Review A
 Pub Date:
 May 2011
 DOI:
 10.1103/PhysRevA.83.053604
 arXiv:
 arXiv:1101.2070
 Bibcode:
 2011PhRvA..83e3604E
 Keywords:

 03.75.Lm;
 05.30.Jp;
 05.45.a;
 Tunneling Josephson effect BoseEinstein condensates in periodic potentials solitons vortices and topological excitations;
 Boson systems;
 Nonlinear dynamics and chaos;
 Condensed Matter  Quantum Gases;
 Nonlinear Sciences  Chaotic Dynamics;
 Quantum Physics
 EPrint:
 12 pages, 11 figures, submitted to Phys. Rev. A