Chaotic Dynamics of a Dipolar Bose-Einstein Condensate

Bijnen RMW van, DHJ O'Dell, Nicholas G. Parker +1 more

武建华, 许胜男

S. Giovanazzi

Roxanne Moran

Abstract Dipolar Bose-Einstein Condensate Dynamics in A Chaotic Potential by Roxanne Kimberly Moran Master of Science in Physics University of California, Merced 2013 Professor Jay Sharping, Chair Recent theoretical work has shown that short-range contact and long-range dipolar interactions of a Bose-Einstein condensate provide the stability needed for the formation of a two-dimensional soliton in a chaotic optical-dipole potential. However, inclusion of the dipole-dipole interaction causes the BEC soliton to deviate from the classical trajectories of the trapping potential and to instead follow trajectories given by an effective potential that is equal to the convolution of the external trapping potential and density profile of the BEC in the xy plane.

G. Wunner, H. Cartarius, T. Fabčič +5 more

The motto of this paper is: Let’s face Bose‐Einstein condensation through nonlinear dynamics. We do this by choosing variational forms of the condensate wave functions (of given symmetry classes), which convert the Bose‐Einstein condensates via the time‐dependent Gross‐Pitaevskii equation into Hamiltonian systems that can be studied using the methods of nonlinear dynamics. We consider in particular cold quantum gases where long‐range interactions between the neutral atoms are present, in addition to the conventional short‐range contact interaction, viz. gravity‐like interactions, and dipole‐dipole interactions. The results obtained serve as a useful guide in the search for nonlinear dynamics effects in numerically exact quantum calculations for Bose‐Einstein condensates. A main result is the prediction of the existence of stable islands as well as chaotic regions for excited states of dipolar condensates, which could be checked experimentally.

G. Wunner, Holger Cartarius, Tomaž Fabčič +3 more

Abstract. The motto of this paper is: Let's face Bose-Einstein condensation through nonUnear dynamics. We do this by choosing variational forms of the condensate wave functions (of given symmetry classes), which convert the Bose-Einstein condensates via the time-dependent Gross-Pitaevskii equation into Hamiltonian systems that can be studied using the methods of nonUnear dynamics. We consider in particular cold quantum gases where long-range interactions between the neutral atoms are present, in addition to the conventional short-range contact interaction, viz. gravity-Uke interactions, and dipole-dipole interactions. The residts obtained serve as a useful giude in the search for nonlinear dynamics effects in numerically exact quantum calcinations for Bose-Einstein condensates. A main residt is the prediction of the existence of stable islands as well as chaotic regions for excited states of dipolar condensates, which coidd be checked experimentally. Keywords: Bose-Einstein condensation, Gross-Pitaevskii equation, nonlinear dynamics effects PACS: 03.75.Kk, 34.20.Cf, 02.30.-f, 47.20.Ky 1.