Spontaneous symmetry breaking of gap solitons in double-well traps

Abstract

We introduce a two dimensional model for the Bose-Einstein condensate with both attractive and repulsive nonlinearities. We assume a combination of a double well potential in one direction, and an optical lattice along the perpendicular coordinate. We look for dual core solitons in this model, focusing on their symmetry-breaking bifurcations. The analysis employs a variational approximation, which is verified by numerical results. The bifurcation which transforms antisymmetric gap solitons into asymmetric ones is of supercritical type in the case of repulsion; in the attraction model, increase of the optical latttice strength leads to a gradual transition from subcritical bifurcation (for symmetric solitons) to a supercritical one.

arXiv comment6 pages, 5 figures

References in corpus (24)

• Theory of Bose-Einstein condensation in trapped gases
• Formation and Propagation of Matter Wave Soliton Trains
• Formation of a Matter-Wave Bright Soliton
• Direct Observation of Tunneling and Nonlinear Self-Trapping in a single Bosonic Josephson Junction
• Quantum Coherent Atomic Tunneling between Two Trapped Bose-Einstein Condensates
• Bright gap solitons of atoms with repulsive interaction
• Josephson effect between trapped Bose-Einstein condensates
• Nonlinear excitations in arrays of Bose-Einstein condensates
• Nonlinear Self-Trapping of Matter Waves in Periodic Potentials
• Single Particle Tunneling in Strongly Driven Double Well Potentials
• Matter-wave gap solitons in atomic bandgap structures
• Coupled-mode theory for Bose-Einstein condensates
• Josephson effects in dilute Bose-Einstein condensates
• Regular spatial structures in arrays of Bose-Einstein condensates induced by modulational instability
• Realization of a single Josephson junction for Bose-Einstein condensates
• Spontaneous symmetry breaking of solitons trapped in a double-channel potential
• Nonlinear atom optics and bright gap soliton generation in finite optical lattices
• Symmetric and asymmetric solitons in linearly coupled Bose-Einstein condensates trapped in optical lattices
• Bose-Einstein condensates in a one-dimensional double square well: Analytical solutions of the Nonlinear Schrödinger equation and tunneling splittings
• Observation of Nonspreading Wave Packets in an Imaginary Potential
• Spontaneous soliton symmetry breaking in two-dimensional coupled Bose-Einstein condensates supported by optical lattices
• Tightly bound gap solitons in a Fermi gas
• Statics and dynamics of BEC's in double square well potentials
• Gap solitons in superfluid boson-fermion mixtures

Cited by in corpus (23)

• Solitons in nonlinear lattices
• Spontaneous symmetry breaking in a nonlinear double-well structure
• Families of spatial solitons in a two-channel waveguide with the cubic-quintic nonlinearity
• Spontaneous symmetry breaking of Bose-Fermi mixtures in double-well potentials
• Symmetry breaking of solitons in two-dimensional complex potentials
• Spontaneous symmetry breaking in Schrödinger lattices with two nonlinear sites
• Characterizing the energy gap and demonstrating an adiabatic quench in an interacting spin system
• Nonlinear modes and symmetry breaking in rotating double-well potentials
• Interface solitons in one-dimensional locally-coupled lattice systems
• Two-component gap solitons with linear interconversion
• Competition between symmetry breaking and onset of collapse in weakly coupled atomic condensates
• Symmetry breaking in dipolar matter-wave solitons in dual-core couplers
• Double symmetry breaking of solitons in one-dimensional virtual photonic crystals
• Stability analysis for pitchfork bifurcations of solitary waves in generalized nonlinear Schroedinger equations
• Spontaneous symmetry breaking of binary fields in a nonlinear double-well structure
• Spontaneous symmetry breaking of photonic and matter waves in two-dimensional pseudopotentials
• Gap solitons in Rabi lattices
• Switch between the types of the symmetry breaking bifurcation in optically induced photorefractive rotational double-well potential
• Surface solitons in trilete lattices
• Interface solitons in locally linked two-dimensional lattices
• Symmetric and asymmetric localized modes in linear lattices with an embedded pair of ${\chi }^{(2)}$-nonlinear sites
• Spontaneous Symmetry Breaking In Nonlinear Binary Periodic Systems
• Symmetry breaking in a two-component system with repulsive interactions and linear coupling