Vortex lattice formation in a rotating Bose-Einstein condensate
arXiv:cond-mat/0104523 · doi:10.1103/PhysRevA.65.023603
Abstract
We study the dynamics of vortex lattice formation of a rotating trapped Bose-Einstein condensate by numerically solving the two-dimensional Gross-Pitaevskii equation, and find that the condensate undergoes elliptic deformation, followed by unstable surface-mode excitations before forming a quantized vortex lattice. The origin of the peculiar surface-mode excitations is identified to be phase fluctuations at the low-density surface regime. The obtained dependence of a distortion parameter on time and that on the driving frequency agree with the recent experiments by Madison {\it et al.} [Phys. Rev. Lett. {\bf 86}, 4443 (2001)].
4 pages, 4 figures
References in corpus (3)
Cited by in corpus (196)
- Dynamics and statistical mechanics of ultra-cold Bose gases using c-field techniques
- Emergence of turbulence in an oscillating Bose-Einstein condensate
- Nonlinear Waves in Bose-Einstein Condensates: Physical Relevance and Mathematical Techniques
- Finite Temperature Models of Bose-Einstein Condensation
- Vortices in multicomponent Bose-Einstein condensates
- Dynamical Creation of Fractionalized Vortices and Vortex Lattices
- Vortex phase diagram in rotating two-component Bose-Einstein condensates
- Nonlinear dynamics for vortex lattice formation in a rotating Bose-Einstein condensate
- Giant hole and circular superflow in a fast rotating Bose-Einstein condensate
- An efficient and spectrally accurate numerical method for computing dynamics of rotating Bose-Einstein condensates
- Inverse Energy Cascade in Forced 2D Quantum Turbulence
- Multiple domain formation induced by modulation instability in two-component Bose-Einstein condensates
- Quantum turbulence in trapped atomic Bose-Einstein condensates
- Supersolid Vortex Crystals in Rydberg-dressed Bose-Einstein Condensates
- Energy spectra of vortex distributions in two-dimensional quantum turbulence
- The nucleation, growth and stabilization of vortex lattices
- Emergence and decay of turbulence in stirred atomic Bose-Einstein condensates
- Wave turbulence and vortices in Bose-Einstein condensation
- Non classical velocity statistics in a turbulent atomic Bose Einstein condensate
- Bose-Einstein Condensation from a Rotating Thermal Cloud: Vortex Nucleation and Lattice Formation
- Onsager-Kraichnan Condensation in Decaying Two-Dimensional Quantum Turbulence
- Splitting of a doubly quantized vortex through intertwining in Bose-Einstein condensates
- Finite temperature vortex dynamics in Bose Einstein condensates
- Vortex sheet in rotating two-component Bose-Einstein condensates
- Ferrofluidity in a two-component dipolar Bose-Einstein Condensate
- Identifying a superfluid Reynolds number via dynamical similarity
- Droplet formation in a Bose-Einstein condensate with strong dipole-dipole interaction
- Decay of a quantum vortex: test of non-equilibrium theories for warm Bose-Einstein condensates
- Globally-Linked Vortex Clusters in Trapped Wave Fields
- Unpinning triggers for superfluid vortex avalanches
- Matter-wave dark solitons: stochastic vs. analytical results
- Hidden vortices in a Bose-Einstein condensate in a rotating double-well potential
- Vortex-Induced Phase Slip Dissipation in a Toroidal Bose-Einstein Condensate Flowing Through a Barrier
- The Stochastic Gross-Pitaevskii Equation and some Applications
- Faraday Patterns in low-dimensional Bose-Einstein Condensates
- Can Spinor Dipolar Effects be Observed in Bose-Einstein Condensates?
- Practical scheme for a light-induced gauge field in an atomic Bose gas
- Dynamics of Vortex Formation in Merging Bose-Einstein Condensate Fragments
- Generation and Decay of Two-Dimensional Quantum Turbulence in a Trapped Bose-Einstein Condensate
- Onsager vortex formation in Bose-Einstein condensates in two-dimensional power-law traps
- Breaking of Chiral Symmetry and Spontaneous Rotation in a Spinor Bose-Einstein Condensate
- The stochastic projected Gross-Pitaevskii equation
- Route to turbulence in a trapped Bose-Einstein condensate
- Instability of vortex array and transitions to turbulent states in rotating helium II
- Hydrodynamic Description of Spin-1 Bose-Einstein Condensates
- Quantum turbulence in quantum gases
- Dynamical Instability of a Rotating Dipolar Bose-Einstein Condensate
- Split Instability of a Vortex in an Attractive Bose-Einstein Condensate
- Parametric Driving of Dark Solitons in Atomic Bose-Einstein Condensates
- Stability of the quantized circulation of an attractive Bose-Einstein condensate in a rotating torus
- Vortex reconnections in atomic condensates at finite temperature
- Cosmological evolution of finite temperature Bose-Einstein Condensate dark matter
- Dynamical instability of a condensate induced by a rotating thermal gas
- The dynamics of quantum vortices in a toroidal trap
- Properties of the stochastic Gross-Pitaevskii equation: Projected Ehrenfest relations and the optimal plane wave basis
- C and Fortran OpenMP programs for rotating Bose-Einstein condensates
- Three-dimensional dynamics of vortex lattice formation in Bose-Einstein condensates
- Persistent current formation in a high-temperature Bose-Einstein condensate: an experimental test for c-field theory
- Controlled polarization of two-dimensional quantum turbulence in atomic Bose-Einstein condensates
- Generation of vortices and observation of Quantum Turbulence in an oscillating Bose-Einstein Condensate
- Vortex-antivortex pair dynamics in an exciton-polariton condensate
- Nonlinear Dynamics in a Trapped Atomic Bose--Einstein Condensate Induced by an Oscillating Gaussian Potential
- Stochastic Projected Gross-Pitaevskii equation for spinor and multi-component condensates
- Binary boson stars: Merger dynamics and formation of rotating remnant stars
- Structure of two-component Bose-Einstein condensates with respective vortex-antivortex superposition states
- Splitting dynamics of giant vortices in dilute Bose-Einstein condensates
- Persistent currents in two-component condensates in a toroidal trap
- Formation and structure of vortex lattices in a rotating double-well Bose-Einstein condensate
- Coarsening dynamics driven by vortex-antivortex annihilation in ferromagnetic Bose-Einstein condensates
- A finite-element toolbox for the stationary Gross-Pitaevskii equation with rotation
- Instabilities leading to vortex lattice formation in rotating Bose-Einstein condensates
- Pinning of Hidden Vortices in Bose-Einstein Condensate
- Vortex Structures Formed by the Interference of Sliced Condensates
- Structure and dynamics of a rotating superfluid Bose-Fermi mixture
- Bose-Einstein droplet in free space
- Dynamical thermalization and vortex formation in stirred 2D Bose-Einstein condensates
- Numerical method for the stochastic projected Gross-Pitaevskii equation
- Decay of homogeneous two dimensional quantum turbulence
- Fluctuating and dissipative dynamics of dark solitons in quasi-condensates
- Stability and dynamics of matter-wave vortices in the presence of collisional inhomogeneities and dissipative perturbations
- Meissner Effect and Vortex Dynamics in Quark Stars -- A Model for Soft Gamma-Ray Repeaters
- Instability and Vortex Rings Dynamics in a Three-Dimensional Superfluid Flow Through a Constriction
- Vortex dynamics in trapped Bose-Einstein condensate
- Vortex formation of a Bose-Einstein condensate in a rotating deep optical lattice
- Vortex dynamics of rotating dipolar Bose-Einstein condensates
- Spatial separation of rotating binary Bose-Einstein condensate by tuning the dipolar interactions
- Resonances in a trapped 3D Bose-Einstein condensate under periodically varying atomic scattering length
- Generation of vortices and stabilization of vortex lattices in holographic superfluids
- Dynamics of collapsing and exploding Bose-Einstein condensed vortex state
- Oscillons in coupled Bose-Einstein condensates
- Complex Langevin simulation of quantum vortices in a Bose-Einstein condensate
- Decaying quantum turbulence in a two-dimensional Bose-Einstein condensate at finite temperature
- Symmetry breaking in binary Bose-Einstein condensates in the presence of an inhomogeneous artificial gauge field
- Measuring the disorder of vortex lattices in a Bose-Einstein condensate
- Exact vortex nucleation and cooperative vortex tunneling in dilute BECs
- Deep learning based quantum vortex detection in atomic Bose-Einstein condensates
- Making ghost vortices visible in two-component Bose-Einstein condensates
- Vortex Lattice Structures of a Bose-Einstein Condensate in a Rotating Triangular Lattice Potential
- Excitation spectrum of vortex lattices in rotating Bose-Einstein condensates
- Response of an atomic Bose-Einstein condensate to a rotating elliptical trap
- Dissipative hydrodynamic equation of a ferromagnetic Bose-Einstein condensate: Analogy to magnetization dynamics in conducting ferromagnets
- Synergy Dynamics of Vortices and Solitons in Atomic Bose-Einstein Condensate Excited by an Oscillating Potential
- Vortex patterns of atomic Bose-Einstein condensates in a density-dependent gauge potential
- Nonlinear dynamics of Josephson vortices in merging superfluid rings
- Vortex arrays in a rotating superfluid He-4 nanocylinder
- Reservoir interactions of a vortex in a trapped 3D Bose-Einstein condensate
- Metastability, excitations, fluctuations, and multiple-swallowtail structures of a superfluid in a Bose-Einstein condensate in the presence of a uniformly moving defect
- Quantum turbulence in Bose-Einstein condensates: present status and new challenges ahead
- Position-dependent spin-orbit coupling for ultracold atoms
- Vortex formation and quantum turbulence with rotating paddle potentials in a two-dimensional binary Bose-Einstein condensate
- Effect of an oscillating Gaussian obstacle in a Dipolar Bose-Einstein condensate
- Coherent cross-talk and parametric driving of matter-wave vortices
- Dynamic and Energetic Stabilization of Persistent Currents in Bose-Einstein Condensates
- Phase separation of quantized vortices in two-component miscible Bose-Einstein condensates in a two-dimensional box potential
- Disorder Induced Vortex Lattice Melting in Bose-Einstein Condensate
- Brownian motion of a matter-wave bright soliton: realizing a quantum pollen grain
- Excitation spectroscopy of vortex lattices in a rotating Bose-Einstein condensate
- Dynamics of two-component Bose-Einstein condensates in rotating traps
- Symmetry Breaking of Vortex Patterns in a Rotating Harmonic Potential
- Dynamics of vortex quadrupoles in nonrotating trapped Bose-Einstein condensate
- Bathtub vortex in superfluid He
- Effect of an impulsive force on vortices in a rotating Bose-Einstein condensate
- Vortex lattice in a uniform Bose-Einstein condensate in a box trap
- Synthetic superfluid chemistry with vortex-trapped quantum impurities
- Inverse problems for semiconductors: models and methods
- Stability of interlinked neutron vortex and proton flux-tube arrays in a neutron star -- III. Proton feedback
- Signatures of two-step impurity mediated vortex lattice melting in Bose-Einstein Condensates
- Vortex lattice in the crossover of a Bose gas from weak coupling to unitarity
- Imaginary Potential Induced Quantum Coherence for Bose-Einstein Condensates
- Giant vortex in a fast rotating holographic superfluid
- Dynamics of rotating spin-orbit-coupled Bose-Einstein condensates in a quasicrystalline optical lattice
- Quantum spirals
- Spin-vortex nucleation in a Bose-Einstein condensate by a spin-dependent rotating trap
- Trapped Bose-Einstein condensates in synthetic magnetic field
- Vortex depinning in a two-dimensional superfluid
- Finite temperature vortices in a rotating Fermi gas
- Hysteresis effects in rotating Bose-Einstein condensates
- Creation and dynamics of two-dimensional skyrmions in antiferromagnetic spin-1 Bose-Einstein condensates
- Asymmetric matter-wave solitons at nonlinear interfaces
- Vortex nucleation in rotating Bose-Einstein condensates with density-dependent gauge potential
- Effect of optical lattice potentials on the vortices in rotating dipolar Bose-Einstein condensates
- Rotation of an atomic Bose-Einstein condensate with and without a quantized vortex
- Synchronization in rotating supersolids
- Anomalous hydrodynamics and "normal" fluids in rapidly rotating BECs
- Onsager vortex formation in two-component Bose-Einstein condensates
- Dynamics of Ultracold Bosons in Artificial Gauge Fields: Angular Momentum, Fragmentation, and the Variance of Entropy
- Quantum wave representation of dissipative fluids
- Spin-up of a superfluid vortex lattice driven by rough boundaries
- Stable controllable giant vortex in a trapped Bose-Einstein condensate
- Towards High-quality Visualization of Superfluid Vortices
- Disordered vortex arrays in a two-dimensional condensate
- Stationary states, dynamical stability, and vorticity of Bose-Einstein condensates in tilted rotating harmonic traps
- Vortex Dynamics Near the Surface of a Bose-Einstein Condensate
- Diffusion of Quantum Vortices
- Verification of an analytic fit for the vortex core profile in superfluid Fermi gases
- Dissipation effect in the double-well Bose-Einstein Condensate
- Rotating a Bose-Einstein condensate by shaking an anharmonic axisymmetric magnetic potential
- Angular momentum in interacting many-body systems hides in phantom vortices
- Topological defects in rotating spin-orbit-coupled dipolar spin-1 Bose-Einstein condensates
- Hidden vortices and Feynman rule in Bose-Einstein condensates with density-dependent gauge potential
- Dynamics of Vortices and Solitons in a Bose-Einstein Condensate by an Oscillating Potential
- Self-induced Bose glass phase in quantum cluster quasicrystals
- Bose-Fermi Mixtures in Optical Lattices
- Numerical method for the projected Gross--Pitaevskii equation in an infinite rotating 2D Bose gas
- Corotation of two quantized vortices coupled with collective modes in self-gravitating Bose-Einstein condensates
- Dynamics of two quantized vortices belonging to different components of binary Bose-Einstein condensates in a circular box potential
- Multi-vortex crystal lattices in Bose-Einstein Condensates with a rotating trap
- Vortex creation during magnetic trap manipulations of spinor Bose-Einstein condensates
- Critical frequency for vortex nucleation in Bose-Fermi mixtures in optical lattices
- Numerical model of the Gross-Pitaevskii equation for rotating Bose-Einstein condensates using smoothed-particle hydrodynamics
- Vortices in Bose-Einstein Condensates: Theory
- Superfluid, Supersolid and Checkerboard Solid in Two-Component Bosons in an Optical Lattice: Study by Means of Gross-Pitaevskii Theory and Monte-Carlo Simulations
- Formation of local and global currents in a toroidal Bose--Einstein condensate via an inhomogeneous artificial gauge field
- Condensates in double-well potential with synthetic gauge potentials and vortex seeding
- Dissipative Superfluidity in a Molecular Bose-Einstein Condensate
- Annihilation and recurrence of vortex-antivortex pairs in two-component Bose-Einstein condensates
- Beyond Gross-Pitaevskii Mean Field Theory
- Simulating Quantum Turbulence with Matrix Product States
- Annihilation Process of Quantum Vortices in Dissipative Gross-Pitaevskii Equation Model
- Fluctuation-Driven Vortex Fractionalization in Topologically Ordered Superfluids of Cold Atoms
- Finite-temperature dynamics of matter-wave dark solitons in linear and periodic potentials: an example of an anti-damped Josephson junction
- A method to create disordered vortex arrays in atomic Bose-Einstein condensates
- Acceleration-induced transport of quantum vortices in joined atomtronic circuits
- Soliton lattices in the Gross-Pitaevskii equation with nonlocal and repulsive coupling
- A two-state model for vortex nucleation in a rotating Bose-Einstein condensate
- A simple and efficient numerical method for computing the dynamics of rotating Bose-Einstein condensates via a rotating Lagrangian coordinate
- Dynamics of quantum vortices at finite temperature
- Vortex-lattice structures in rotating Bose-Fermi superfluid mixtures
- Control of the vortex lattice formation in coupled atom-molecular Bose-Einstein condensate in a double well potential: Role of atom-molecule coupling, trap rotation frequency and detuning
- Vortex Lattice Structures of a Bose-Einstein Condensate in a Rotating Lattice Potential
- Waves in a Bose-Einstein condensate of atoms with a dipole moment
- Controlled acoustic-driven vortex transport in coupled superfluid rings
- Weakly Nonlinear Analysis of Vortex Formation in a Dissipative Variant of the Gross-Pitaevskii Equation
- Stability change of a multi-charged vortex due to coupling with quadrupole mode
- Multi-scale physics of cryogenic liquid helium-4: Inverse coarse-graining properties of smoothed particle hydrodynamics
- Semiclassical states localized on a one-dimensional manifold and governed by the nonlocal NLSE with an anti-Hermitian term