Self-trapping of a binary Bose-Einstein condensate induced by interspecies interaction

Abstract

The problem of self-trapping of a Bose-Einstein condensate (BEC) and a binary BEC in an optical lattice (OL) and double well (DW) is studied using the mean-field Gross-Pitaevskii equation. For both DW and OL, permanent self-trapping occurs in a window of the repulsive nonlinearity $g$ of the GP equation: $g_{c1}<g<g_{c2}$. In case of OL, the critical nonlinearities $g_{c1}$ and $g_{c2}$ correspond to a window of chemical potentials ${\mu }_{c1}<\mu <{\mu }_{c2}$ defining the band gap(s) of the periodic OL. The permanent self-trapped BEC in an OL usually represents a breathing oscillation of a stable stationary gap soliton. The permanent self-trapped BEC in a DW, on the other hand, is a dynamically stabilized state without any stationary counterpart. For a binary BEC with intraspecies nonlinearities outside this window of nonlinearity, a permanent self trapping can be induced by tuning the interspecies interaction such that the effective nonlinearities of the components fall in the above window.

References in corpus (16)

• Direct observation of Anderson localization of matter-waves in a controlled disorder
• Vortices and Superfluidity in a Strongly Interacting Fermi Gas
• Few-boson dynamics in double wells: From single-atom to correlated-pair tunneling
• Effective mean-field equations for cigar-shaped and disk-shaped Bose-Einstein condensates
• Josephson Oscillation and Transition to Self-Trapping for Bose-Einstein-Condensates in a Triple-Well Trap
• Superfluid Bose-Fermi mixture from weak-coupling to unitarity
• Quantum Entanglement Manifestation of Transition to Nonlinear Self-trapping for Bose-Einstein Condensates in a Symmetric Double-Well
• Symmetry Breaking and Self-trapping of a Dipolar Bose-Einstein Condensate in a Double-well Potential
• Tightly bound gap solitons in a Fermi gas
• Nonlinear Schroedinger equation for a superfluid Bose gas from weak coupling to unitarity: Study of vortices
• Weakly linked binary mixtures of F=1 87-Rb Bose-Einstein condensates
• Self-Trapping of Bose-Einstein Condensates in an Optical Lattice: the Effect of the System Dimension
• Controlling the Population Imbalance of a Bose-Einstein Condensate by a Symmetry-Breaking Driving Field
• Two-component gap solitons with linear interconversion
• Localization of collisionally inhomogeneous condensates in a bichromatic optical lattice
• Self-trapping of Bose-Einstein condensates expanding into shallow optical lattices

Cited by in corpus (7)

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• Multimode model for an atomic Bose-Einstein condensate in a ring-shaped optical lattice
• Effective equations for matter-wave gap solitons in higher-order transversal states
• Effective two-mode model in Bose-Einstein condensates versus Gross-Pitaevskii simulations
• Dynamics in multiple-well Bose-Einstein condensates
• Blocked populations in ring-shaped optical lattices
• Interactions and Collisions of Discrete Breathers in Two-Species Bose-Einstein Condensates in Optical Lattices