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Focusing Revisited: an MN-dynamics Approach
Nonlinear Schr odinger equation the dispersion system focusing on NLS equation
2014/12/29
The nonlinear Schr¨odinger (NLS) equation is a ubiquitous example of an envelope wave equation for conservative, dispersive systems. We revisit here the problem of self-similar focusing of waves in th...
Dynamics of shallow dark solitons in a trapped gas of impenetrable bosons
Nonlinear excited state dynamics bose gas five non-linear dynamic
2014/12/29
The dynamics of linear and nonlinear excitations in a Bose gas in the Tonks-Girardeau regime with longitudinal confinement are studied within a mean-field theory of quintic nonlinearity. A reductive p...
Breather statics and dynamics in Klein-Gordon chains with a bend
Nonlinear model the model of the power of the bending Angle scattering
2014/12/29
In this paper, we examine a nonlinear model with an impurity emulating a bend. We justify the geometric interpretation of the model and connect it with earlier work on models including geometric effec...
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...
Statics, dynamics, and manipulations of bright matter-wave solitons in optical lattices
Condensate similar soliton parabolic magnetic trap periodic optical lattice space
2014/12/29
Motivated by the recent experimental achievements in the work with Bose-Einstein condensates (BECs), we consider bright matter-wave solitons, in the presence of a parabolic magnetic trap and a spatial...
Dynamics and manipulation of matter-wave solitons in optical superlattices
Similar soliton optical superlattice dynamic superlattice lattice structure
2014/12/25
We study the existence and stability of bright, dark, and gap matter-wave solitons in optical superlattices. Then, using these properties, we show that (time-dependent) “dynamical superlattices” can b...
Statics and dynamics of an inhomogeneously nonlinear lattice
Nonhomogeneous nonlinear schrodinger lattice defocusing perturbation theory linear stability
2014/12/25
We introduce an inhomogeneously nonlinear Schrödinger lattice, featuring a defocusing segment, a focusing segment and a transitional interface between the two. We illustrate that such inhomogeneo...
Nonequilibrium dynamics and superfluid ring excitations in binary bose-einstein condensates
Condensate non-equilibrium component separation dynamics oscillation
2014/12/25
We revisit a classic study [D. S. Hall et al., Phys. Rev. Lett. 81, 1539 (1998)] of interpenetrating Bose-Einstein condensates in the hyperfine states |F=1,mf=-1⟩≡|1⟩ and |F=2,mf=+...
Discrete solitons and vortices in hexagonal and honeycomb lattices: Existence, stability, and dynamics
Dynamic lattice model lattice geometries nonlinear schrodinger equation
2014/12/25
We consider a prototypical dynamical lattice model, namely, the discrete nonlinear Schrödinger equation on nonsquare lattice geometries. We present a systematic classification of the solutions th...
Dynamics of vortex formation in merging Bose-Einstein condensate fragments
Condensation of vortex bose-einstein condensate independent optical potential
2014/12/24
We study the formation of vortices in a Bose-Einstein condensate (BEC) that has been prepared by allowing isolated and independent condensed fragments to merge together. We focus on the experimental s...
Soliton dynamics in linearly coupled discrete nonlinear Schrodinger equations
Soliton dynamics system coupling discrete nonlinear schrodinger equation
2014/12/24
We study soliton dynamics in a system of two linearly coupled discrete nonlinear Schrödinger equations, which describe the dynamics of a two-component Bose gas, coupled by an electromagnetic fiel...
Phase separation and dynamics of two-component Bose-Einstein condensates
Binary bose-einstein condensate revisit miscibility oscillatory dynamics
2014/12/24
We study the interactions between two atomic species in a binary Bose-Einstein condensate to revisit the conditions for miscibility, oscillatory dynamics between the species, steady-state solutions, a...
Existence, Stability, and Dynamics of Bright Vortices in the Cubic-Quintic Nonlinear Schr¨odinger Equation
Eddy current stable coupling two-dimensional whirlpool coupling whirlpool
2014/12/24
We study the existence and azimuthal modulational stability of vortices in the two-dimensional (2D) cubic-quintic nonlinear Schr¨odinger (CQNLS) equation. We use a variational approximation (VA) based...
Best-fit quasi-equilibrium ensembles: a general approach to statistical closure of underresolved Hamiltonian dynamics
Reduce model Hamiltonian dynamics system model reduction space
2014/12/24
A new method of deriving reduced models of Hamiltonian dynamical systems is developed using techniques from optimization and statistical estimation. Given a set of resolved variables that define a mod...
Stability and dynamics of matter-wave vortices in the presence of collisional inhomogeneities and dissipative perturbations
Spectral properties vortex bose-einstein condensate harmonic trap negative energy pattern precession vortex power trap
2014/12/24
In this work, the spectral properties of a singly charged vortex in a Bose–Einstein condensate confined in a highly anisotropic (disc-shaped) harmonic trap are investigated. Special emphasis is placed...