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
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- Solitons in nonlinear lattices
- Spontaneous symmetry breaking of Bose-Fermi mixtures in double-well potentials
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- Scheme of thinking quantum systems
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- Weakly linked binary mixtures of F=1 87-Rb Bose-Einstein condensates
- Nonlinear modes and symmetry breaking in rotating double-well potentials
- The inverse problem for the Gross - Pitaevskii equation
- Rabi-Josephson oscillations and self-trapped dynamics in atomic junctions with two bosonic species
- Nonlinear quantum model for atomic Josephson junctions with one and two bosonic species
- Spontaneous symmetry breaking of binary fields in a nonlinear double-well structure
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- Efficient Manipulation of Bose-Einstein Condensates in a Double-Well Potential
- Tunnel-coupled optical microtraps for ultracold atoms