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Parametric Quantum Resonances for Bose–Einstein Condensates
Parameter resonance nonlinear schrodinger equation condensate resonance three-dimensional moment method the numerical simulation
2014/12/29
We generalize recent work on parametric resonances for nonlinear Schrödinger (NLS) type equations to the case of three dimensional Bose–Einstein condensates at zero temperatures. We show the poss...
Ring dark solitons and vortex necklaces in Bose-Einstein condensates
Dark soliton condensate cluster vortex pair oscillation
2014/12/29
We introduce the concept of ring dark solitons in Bose-Einstein condensates. We show that relatively shallow rings are not subject to the snake instability, but a deeper ring splits into a robust ring...
Vortices in a Bose-Einstein condensate confined by an optical lattice
Vortex dynamics condensate optical lattice parabolic magnetic trap dynamics
2014/12/29
We investigate the dynamics of vortices in repulsive Bose–Einstein condensates in the presence of an optical lattice (OL) and a parabolic magnetic trap. The dynamics is sensitive to the phase of the O...
Stability of dark solitons in a Bose-Einstein condensate trapped in an optical lattice
Dark soliton stability bose-einstein condensate magnetic parabolic well optical lattice discrete nonlinear schrodinger equation
2014/12/29
We investigate the stability of dark solitons (DSs) in an effectively one-dimensional Bose-Einstein condensate in the presence of the magnetic parabolic trap and an optical lattice (OL). The analysis ...
Vortices in a Bose–Einstein condensate confined by an optical lattice
Vortex dynamics condensate optical lattice parabolic magnetic trap
2014/12/29
We investigate the dynamics of vortices in repulsive Bose–Einstein condensates in the presence of an optical lattice (OL) and a parabolic magnetic trap. The dynamics is sensitive to the phase of the O...
Families of matter-waves in two-component Bose-Einstein condensates
Family solutions bicomponent nonlinear schrodinger equation linear stability condensate
2014/12/29
We produce several families of solutions for two-component nonlinear Schrödinger/Gross-Pitaevskii equations. These include domain walls and the first example of an antidark or gray soliton in one...
Dark-in-bright solitons in Bose-Einstein condensates with attractive interactions
Condensate the scattering length in the form of a dark soliton optical lattice parabolic magnetic trap discrete nonlinear schrodinger equation
2014/12/29
We demonstrate a possibility to generate localized states in effectively one-dimensional Bose-Einstein condensates with a negative scattering length in the form of a dark soliton in the presence of an...
Modulational Instability in Bose–Einstein Condensates under Feshbach Resonance Management
Coupled nonlinear schrodinger equation instability condensate the stability of linear equation
2014/12/29
We investigate the modulational instability of nonlinear Schrödinger equations with periodic variation of their coefficients. In particular, we focus on the case of the recently proposed, experim...
Resonant and non-resonant modulated amplitude waves for binary Bose–Einstein condensates in optical lattices
System the potential coupling nonlinear linear bose-einstein condensate the resonant electromagnetic fields
2014/12/29
We consider a system of two Gross–Pitaevskii (GP) equations, in the presence of an optical-lattice (OL) potential, coupled by both nonlinear and linear terms. This system describes a Bose–Einstein con...
Static and rotating domain-wall cross patterns in Bose-Einstein condensates
Separation of bose-einstein condensate wall immiscible species the wave function the cross model
2014/12/29
For a Bose-Einstein condensate (BEC) in a two-dimensional (2D) trap, we introduce cross patterns, which are generated by the intersection of two domain walls (DWs) separating immiscible species, with ...
Avoiding infrared catastrophes in trapped Bose-Einstein condensates
Long wave instability condensate dark solitons
2014/12/29
This paper is concerned with the long-wavelength instabilities (infrared catastrophes) occurring in Bose-Einstein condensates (BECs). We examine the modulational instability in “cigar-shaped” (one-dim...
PATTERN FORMING DYNAMICAL INSTABILITIES OF BOSE–EINSTEIN CONDENSATES
Power is not stable condensate lattice
2014/12/29
In this short topical review, we revisit a number of works on the pattern-forming dynamical instabilities of Bose–Einstein condensates in one- and two-dimensional settings. In particular, we illustrat...
Linearly coupled Bose-Einstein condensates: From Rabi oscillations and quasiperiodic solutions to oscillating domain walls and spiral waves
Unitary transformation the coupled nonlinear schrodinger equation linear field coupling linear coupling is absent the condensate
2014/12/29
In this paper, an exact unitary transformation is examined that allows for the construction of solutions of coupled nonlinear Schrödinger equations with additional linear field coupling, from sol...
Nonlinear lattice dynamics of Bose–Einstein condensates
Non-metallic solid nonlinear multi degree of freedom nonlinear Hamiltonian system the lattice dynamics system
2014/12/29
The Fermi–Pasta–Ulam (FPU) model, which was proposed 50 years ago to examine thermalization in nonmetallic solids and develop “experimental” techniques for studying nonlinear problems, continues...
Bose-Einstein Condensates in Superlattices
Superlattice research cigar-shaped bose Einstein condensation amplitude modulation wave the wave function space modulation state
2014/12/29
We consider the Gross--Pitaevskii (GP) equation in the presence of periodic and quasi-periodic superlattices to study cigar-shaped Bose--Einstein condensates (BECs) in such potentials. We examine spat...