On the stability of standing matter waves in a trap
arXiv:cond-mat/9811408 · doi:10.1103/PhysRevA.60.R2665
Abstract
We discuss excited Bose-condensed states and find the criterion of dynamical stability of a kink-wise state, i.e., a standing matter wave with one nodal plane perpendicular to the axis of a cylindrical trap. The dynamical stability requires a strong radial confinement corresponding to the radial frequency larger than the mean-field interparticle interaction. We address the question of thermodynamic instability related to the presence of excitations with negative energy.
4 pages, 3 figures
References in corpus (4)
Cited by in corpus (140)
- Formation and Propagation of Matter Wave Soliton Trains
- Dark Solitons in Bose-Einstein Condensates
- The physics of dipolar bosonic quantum gases
- Watching dark solitons decay into vortex rings in a Bose-Einstein condensate
- Dark solitons in atomic Bose-Einstein condensates: from theory to experiments
- Oscillations and interactions of dark and dark-bright solitons in Bose-Einstein condensates
- Vortices in a trapped dilute Bose-Einstein condensate
- Dark-Bright Solitons in Inhomogeneous Bose-Einstein Condensates
- Motion of dark solitons in trapped Bose-Einstein condensates
- Nonlinear Waves in Bose-Einstein Condensates: Physical Relevance and Mathematical Techniques
- Experimental observation of oscillating and interacting matter wave dark solitons
- Dark soliton states of Bose-Einstein condensates in anisotropic traps
- Dynamics of dark solitons in elongated Bose-Einstein condensates
- Bright solitons in spin-orbit-coupled Bose-Einstein condensates
- A Waveguide for Bose-Einstein Condensates
- Dark solitons in a two-component Bose-Einstein condensate
- Heavy Solitons in a Fermionic Superfluid
- Physics with Coherent Matter Waves
- Svortices and the fundamental modes of the "snake instability": Possibility of observation in the gaseous Bose-Einstein Condensate
- Motion of a Solitonic Vortex in the BEC-BCS Crossover
- Multiple atomic dark solitons in cigar-shaped Bose-Einstein condensates
- Many-body solitons in a one-dimensional condensate of hard core bosons
- Matter rogue wave in Bose-Einstein condensates with attractive atomic interaction
- Multiple dark-bright solitons in atomic Bose-Einstein condensates
- Chiral confinement in quasirelativistic Bose-Einstein condensates
- From Planar Solitons to Vortex Rings and Lines: Cascade of Solitonic Excitations in a Superfluid Fermi Gas
- Soliton-sound interactions in quasi-one-dimensional Bose-Einstein condensates
- Stability of dark solitons in three dimensional dipolar Bose-Einstein condensates
- Dark soliton dynamics in Bose-Einstein condensates at finite temperature
- Quantum and thermal effects in dark soliton formation and dynamics in a 1D Bose gas
- Solitons, solitonic vortices, and vortex rings in a confined Bose-Einstein condensate
- Stability of stationary states in the cubic nonlinear Schroedinger equation: applications to the Bose-Einstein condensate
- Images of the Dark Soliton in a Depleted Condensate
- Quantum Dark Soliton: Non-Perturbative Diffusion of Phase and Position
- Generation and interaction of solitons in Bose-Einstein condensates
- Inelastic Collisions of Solitary Waves in Anisotropic Bose-Einstein Condensates: Sling-Shot Events and Expanding Collision Bubbles
- Dark Solitons with Majorana Fermions in Spin-Orbit-Coupled Fermi Gases
- Analogies between dark solitons in atomic Bose-Einstein condensates and optical systems
- Quantum decay of dark solitons in one dimensional Bose systems
- Atomic-phase interference devices based on ring-shaped Bose-Einstein condensates: Two ring case
- Snake instability of dark solitons in fermionic superfluids
- Greying of the Dark Soliton: Depletion in the Anomalous Mode of the Bogoliubov Theory
- Parametric Driving of Dark Solitons in Atomic Bose-Einstein Condensates
- Chladni solitons and the onset of the snaking instability for dark solitons in confined superfluids
- Creation and counting of defects in a temperature quenched Bose-Einstein Condensate
- Vortex Rings and Lieb Modes in a Cylindrical Bose-Einstein Condensate
- Mean-field model of interaction between bright vortex solitons in Bose-Einstein condensates
- Localized gap soliton trains of Bose-Einstein condensates in an optical lattice
- Many-Body Quantum Dynamics in the Decay of Bent Dark Solitons of Bose-Einstein Condensates
- Dark soliton past a finite-size obstacle
- Nonequilibrium quantum dynamics of atomic dark solitons
- Dynamical instability of a dark soliton in a quasi-one-dimensional Bose-Einstein condensate perturbed by an optical lattice
- The Snake Instability of Ring Dark Solitons in Toroidally Trapped Bose-Einstein Condensates
- Deformation of dark solitons in inhomogeneous Bose-Einstein condensates
- Avoiding Infrared Catastrophes in Trapped Bose-Einstein Condensates
- Nonautonomous solitons of Bose-Einstein condensation in a linear potential with an arbitrary time-dependence
- Generation and evolution of vortex-antivortex pairs in Bose-Einstein condensates
- Dark soliton decay due to trap anharmonicity in atomic Bose-Einstein condensates
- Hirota method for the nonlinear Schrődinger equation with an arbitrary linear time-dependent potential
- Temporal dynamics of tunneling. Hydrodynamic approach
- Dark matter-wave solitons in the dimensionality crossover
- Statics and dynamics of atomic dark-bright solitons in the presence of delta-like impurities
- Quantum Depletion of an Excited Condensate
- Continuous quantum measurement of a Bose-Einstein condensate: a stochastic Gross-Pitaevskii equation
- Vortex Structures Formed by the Interference of Sliced Condensates
- Dynamical Phase Transition from Nonequilibrium Dynamics of Dark Solitons
- Nonlinear waves in a cylindrical Bose-Einstein condensate
- Dynamical excitations in the collision of 2D Bose-Einstein condensates
- Stability and dispersion relations of three-dimensional solitary waves in trapped Bose-Einstein condensates
- Validating Simple Dynamical Simulations of the Unitary Fermi Gas
- Probing quasi-integrability of the Gross-Pitaevskii equation in a harmonic-oscillator potential
- Stability of matter-wave solitons in a density-dependent gauge theory
- Dark solitons generation and their instability dynamics in two dimensional condensates
- Vortex Ring Dynamics in Trapped Bose-Einstein Condensates
- Self-consistent fragmented excited states of trapped condensates
- Integrable model for density-modulated quantum condensates: solitons passing through a soliton lattice
- Simple method for excitation of a Bose-Einstein condensate
- Quasiparticles of widely tuneable inertial mass: The dispersion relation of atomic Josephson vortices and related solitary waves
- The decay and collisions of dark solitons in superfluid Fermi gases
- Engineering Dark Solitary waves in Ring-Trap Bose-Einstein condensates
- Transverse instability and disintegration of domain wall of relative phase in coherently coupled two-component Bose-Einstein condensates
- Dark solitons dynamics and snake instability in superfluid Fermi gases trapped by an anisotropic harmonic potential
- Decay of the relative phase domain wall into confined vortex pairs: the case of a coherently coupled bosonic mixture
- Matter-wave dark solitons in box-like traps
- Quantum fluctuations in the image of a Bose gas
- Spectroscopy of Dark Soliton States in Bose-Einstein Condensates
- Mean-field model for the interference of matter waves from a three-dimensional optical trap
- Dark soliton-like magnetic domain walls in a two-dimensional ferromagnetic superfluid
- Dark-soliton-like excitations in the Yang-Gaudin gas of attractively interacting fermions
- Lieb's soliton-like excitations in harmonic trap
- A method for collective excitation of Bose-Einstein condensate
- Soliton core filling in superfluid Fermi gases with spin-imbalance
- Snake instability of dark solitons across the BEC-BCS crossover: an effective field theory perspective
- Matter-wave dark solitons in a double-well potential
- Propagating Ferrodark Solitons in a Superfluid: Exact Solutions and Anomalous Dynamics
- Dark-dark-soliton dynamics in two density-coupled Bose-Einstein condensates
- Solitons in one-dimensional interacting Bose-Einstein system
- Fluctuation and interaction induced instability of dark solitons in single and binary condensates
- Internal Josephson-Like Tunneling in Two-Component Bose-Einstein Condensates Affected by Sign of the Atomic Interaction and External Trapping Potential
- Collective modes of a soliton train in a Fermi superfluid
- Exact Soliton-like Solutions of the Radial Gross-Pitaevskii Equation
- Stability analysis and attractor dynamics of 3D dark solitons with localized dissipation
- Signatures of the BCS-BEC crossover in the yrast spectra of Fermi quantum rings
- Long-range sound-mediated dark soliton interactions in trapped atomic condensates
- Creation and revival of ring dark solitons in a toroidal Bose-Einstein condensate
- Nonlinear standing waves in an array of coherently coupled Bose-Einstein condensates
- Quantum fluctuations in coupled dark solitons in trapped Bose-Einstein condensates
- Rotational pendulum dynamics of a vortex molecule in a channel geometry
- Dimensional Effects on Solitonic Matter and Optical Waves with Normal and Anomalous Dispersion
- Core filling and snaking instability of dark solitons in spin-imbalanced superfluid Fermi gases
- Quench-produced solitons in a box-trapped Bose-Einstein condensate
- Simulation of a stationary dark soliton in a trapped zero-temperature Bose-Einstein condensate
- Bound solitonic states in trapped multidimensional Bose-Einstein condensates
- From vortices to solitonic vortices in trapped atomic Bose-Einstein condensates
- Self-interference of a toroidal Bose-Einstein condensate
- Stationary states of a nonlinear Schrödinger lattice with a harmonic trap
- Holographic Superfluid Solitons with Backreaction
- Dark soliton collisions in superfluid Fermi gases
- Reversible decay of ring dark solitons
- A Levinson theorem for scattering from a Bose-Einstein condensate
- Crossover between snake instability and Josephson instability of dark solitons in superfluid Fermi gases
- Singular and regular vortices on top of a background pulled to the center
- Absence of the breakdown of ferrodark solitons exhibiting a snake instability
- Theory of Multidimensional Solitons
- Exact surface-wave spectrum of a dilute quantum liquid
- Probing non-locality of interactions in a Bose-Einstein Condensate using solitons
- Semiclassical dynamics of a dark soliton in a one-dimensional bosonic superfluid in an optical lattice
- Stability and collapse of localized solutions of the controlled three-dimensional Gross-Pitaevskii equation
- Precise wavefunction engineering with magnetic resonance
- Quantum Borderlines -- Fluctuation Energies in Ultracold Bose Gases
- Nanotubes as Sinks for Quantum Particles
- Localized Asymmetric Atomic Matter Waves in Two-Component Bose-Einstein Condensates Coupled with Two Photon Microwave Field
- Reentrant stability of BEC standing wave patterns
- Merging of superfluid Helium nanodroplets with vortices
- Swallow-tail dispersions of moving solitons in a two-dimensional fermionic superfluid
- Atomic scattering from Bose-Einstein condensates
- Variational Approach to the Snake Instability of a Bose-Einstein Condensate Soliton
- Transverse instability of hybrid solitons in the strong light-matter coupling regime
- Variational Monte Carlo study of soliton excitations in hard-sphere Bose gases
- Square wave oscillation of soliton in double-well potential trapped BEC