A two-parameter continuation algorithm for vortex pinning in rotating Bose-Einstein condensates
From MaRDI portal
Publication:483838
DOI10.1016/j.cpc.2012.10.001zbMath1302.65232OpenAlexW2059602612MaRDI QIDQ483838
Publication date: 17 December 2014
Published in: Computer Physics Communications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cpc.2012.10.001
NLS equations (nonlinear Schrödinger equations) (35Q55) PDEs in connection with quantum mechanics (35Q40) Software, source code, etc. for problems pertaining to quantum theory (81-04) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70)
Related Items (10)
A two-parameter continuation algorithm using radial basis function collocation method for rotating Bose-Einstein condensates ⋮ A two-parameter continuation method for computing numerical solutions of spin-1 Bose-Einstein condensates ⋮ Efficient continuation methods for computing ground states of quasi-2D rotating dipolar Bose-Einstein condensates ⋮ Efficient spectral computation of the stationary states of rotating Bose-Einstein condensates by preconditioned nonlinear conjugate gradient methods ⋮ Continuation and preconditioned imaginary time evolution methods for boson-fermion mixtures ⋮ BEC2HPC: a HPC spectral solver for nonlinear Schrödinger and rotating Gross-Pitaevskii equations. Stationary states computation ⋮ Stability analysis and continuation for the coupled Gross-Pitaevskii equations ⋮ C and Fortran OpenMP programs for rotating Bose-Einstein condensates ⋮ Numerical modeling of exciton-polariton Bose-Einstein condensate in a microcavity ⋮ Multi-parameter continuation and collocation methods for rotating multi-component Bose–Einstein condensates
Cites Work
- Spectral collocation methods using sine functions for a rotating Bose-Einstein condensation in optical lattices
- Convergence conditions for iterative methods seeking multi-component solitary waves with prescribed quadratic conserved quantities
- Computing multiple peak solutions for Bose-Einstein condensates in optical lattices
- Using pseudo-arclength continuation to trace the resonances of the Schrödinger equation
- A spectral-Galerkin continuation method using Chebyshev polynomials for the numerical solutions of the Gross-Pitaevskii equation
- Exploring ground states and excited states of spin-1 Bose-Einstein condensates by continuation methods
- Adaptive continuation algorithms for computing energy levels of rotating Bose-Einstein condensates
- Path following around corank-2 bifurcation points of a semi-linear elliptic problem with symmetry
- Ground, symmetric and central vortex states in rotating Bose-Einstein condensates
- A continuation BSOR-Lanczos--Galerkin method for positive bound states of a multi-component Bose-Einstein condensate
- Optimizing Schrödinger Functionals Using Sobolev Gradients: Applications to Quantum Mechanics and Nonlinear Optics
- Accelerated Imaginary‐time Evolution Methods for the Computation of Solitary Waves
- Introduction to Numerical Continuation Methods
- Numerical Methods for Bifurcations of Dynamical Equilibria
- Nonlinear modes for the Gross–Pitaevskii equation—a demonstrative computation approach
This page was built for publication: A two-parameter continuation algorithm for vortex pinning in rotating Bose-Einstein condensates
