Two-Component Nonlinear Schrodinger Models with a Double-Well Potential
arXiv:0805.0023 · doi:10.1016/j.physd.2008.04.023
Abstract
We introduce a model motivated by studies of Bose-Einstein condensates (BECs) trapped in double-well potentials. We assume that a mixture of two hyperfine states of the same atomic species is loaded in such a trap.The analysis is focused on symmetry-breaking bifurcations in the system, starting at the linear limit and gradually increasing the nonlinearity. Depending on values of the chemical potentials of the two species, we find numerous states, as well as symmetry-breaking bifurcations, in addition to those known in the single-component setting. These branches, which include all relevant stationary solutions of the problem, are predicted analytically by means of a two-mode approximation, and confirmed numerically. For unstable branches, outcomes of the instability development are explored in direct simulations.
17 pages, 12 figures, Physica D, in press
References in corpus (8)
- Symmetry Breaking in Symmetric and Asymmetric Double-Well Potentials
- Spontaneous symmetry breaking of solitons trapped in a double-channel potential
- Symmetric and asymmetric solitons in linearly coupled Bose-Einstein condensates trapped in optical lattices
- Nonlinear modes for the Gross-Pitaevskii equation -- demonstrative computation approach
- Spontaneous soliton symmetry breaking in two-dimensional coupled Bose-Einstein condensates supported by optical lattices
- Mixed symmetry localized modes and breathers in binary mixtures of Bose-Einstein condensates in optical lattices
- Regulating entanglement production in multitrap Bose-Einstein condensates
- Reversal of the circulation of a vortex by quantum tunneling in trapped Bose systems