Ground States of Two-component Bose-Einstein Condensates with an Internal Atomic Josephson Junction
From MaRDI portal
Publication:5406882
DOI10.4208/eajam.190310.170510azbMath1290.35236OpenAlexW2155890418MaRDI QIDQ5406882
Publication date: 4 April 2014
Published in: East Asian Journal on Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://semanticscholar.org/paper/6c8f001372e541f4ee5c4413848291ed23f9c669
ground stateBose-Einstein condensatecoupled Gross-Pitaevskii equationsnormalized gradient flowtwo-componentinternal atomic Josephson junction
Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Methods involving semicontinuity and convergence; relaxation (49J45) Statistical mechanics of superconductors (82D55) NLS equations (nonlinear Schrödinger equations) (35Q55) Computational methods for problems pertaining to quantum theory (81-08) Finite difference methods for boundary value problems involving PDEs (65N06) Applications to the sciences (65Z05)
Related Items
Ground states of two-component attractive Bose-Einstein condensates. I: Existence and uniqueness, Normalized solutions for a class of scalar field equations involving mixed fractional Laplacians, Projection gradient method for energy functional minimization with a constraint and its application to computing the ground state of spin-orbit-coupled Bose-Einstein condensates, GPELab, a Matlab toolbox to solve Gross-Pitaevskii equations. I: Computation of stationary solutions, Robust and efficient preconditioned Krylov spectral solvers for computing the ground states of fast rotating and strongly interacting Bose-Einstein condensates, An efficient spectral method for computing dynamics of rotating two-component Bose-Einstein condensates via coordinate transformation, Time-splitting Galerkin method for spin-orbit-coupled Bose-Einstein condensates, Blow-up profile of 2D focusing mixture Bose gases, A regularized Newton method for computing ground states of Bose-Einstein condensates, Efficient spectral computation of the stationary states of rotating Bose-Einstein condensates by preconditioned nonlinear conjugate gradient methods, Ground states of attractive Bose gases in rotating anharmonic traps, BEC2HPC: a HPC spectral solver for nonlinear Schrödinger and rotating Gross-Pitaevskii equations. Stationary states computation, Ground states of attractive Bose gases near the critical rotating velocity, Limiting profiles of two-component attractive Bose-Einstein condensates passing an obstacle, Ground states of two-component condensates in a harmonic plus Gaussian trap, The nonexistence of vortices for rotating Bose-Einstein condensates with attractive interactions, Harmonically trapped attractive and repulsive spin–orbit and Rabi coupled Bose–Einstein condensates, Uniform point-wise error estimates of semi-implicit compact finite difference methods for the nonlinear Schrödinger equation perturbed by wave operator, Optimal point-wise error estimate of a compact difference scheme for the coupled Gross-Pitaevskii equations in one dimension, Ground states of two-component Bose–Einstein condensates passing an obstacle, Efficient SAV approach for imaginary time gradient flows with applications to one- and multi-component Bose-Einstein condensates, Collective synchronization of the multi-component Gross-Pitaevskii-Lohe system, Optimal \(l^\infty\) error estimates of finite difference methods for the coupled Gross-Pitaevskii equations in high dimensions, A kinetic energy reduction technique and characterizations of the ground states of spin-1 Bose-Einstein condensates, Ground states of two-component attractive Bose-Einstein condensates II: Semi-trivial limit behavior, Acceleration of the imaginary time method for spectrally computing the stationary states of Gross-Pitaevskii equations, A robust and efficient numerical method to compute the dynamics of the rotating two-component dipolar Bose-Einstein condensates, Local uniqueness of ground states for rotating Bose-Einstein condensates with attractive interactions, A conservative sine pseudo-spectral-difference method for multi-dimensional coupled Gross-Pitaevskii equations, Review Article: Mathematical Models and Numerical Methods for Spinor Bose-Einstein Condensates, Blow-up solutions for two coupled Gross-Pitaevskii equations with attractive interactions, Orbital stability of standing waves of two-component Bose-Einstein condensates with internal atomic Josephson junction, ASYMPTOTIC BEHAVIOR OF NONLINEAR SCHRÖDINGER SYSTEMS WITH LINEAR COUPLING, Ground states of Bose-Einstein condensates with higher order interaction, A projection gradient method for computing ground state of spin-2 Bose-Einstein condensates, Blow up threshold for the Gross-Pitaevskii system with combined nonlocal nonlinearities, \(L^2\) normalized solutions for nonlinear Schrödinger systems in \(\mathbb{R}^3\), Coupled Nonlinear Schrödinger Equations with a Gauge Potential: Existence and Blowup, Modeling and Computation of Bose-Einstein Condensates: Stationary States, Nucleation, Dynamics, Stochasticity, Ground States and Dynamics of Spin-Orbit-Coupled Bose--Einstein Condensates, The nonexistence of vortices for rotating Bose-Einstein condensates in non-radially symmetric traps, A linearized, decoupled, and energy‐preserving compact finite difference scheme for the coupled nonlinear Schrödinger equations
Cites Work
- Unnamed Item
- Numerical simulations on stationary states for rotating two-component Bose-Einstein condensates
- Gauss-Seidel-type methods for energy states of a multi-component Bose-Einstein condensate
- Nonlinear Schrödinger equations and sharp interpolation estimates
- Asymptotics for a class of non-linear evolution equations, with applications to geometric problems
- Ground state energy of the two-component charged Bose gas
- Spikes in two-component systems of nonlinear Schrödinger equations with trapping potentials
- Two-component Bose-Einstein condensates
- A minimisation approach for computing the ground state of Gross-Pitaevskii systems
- Numerical solution of the Gross--Pitaevskii equation for Bose--Einstein condensation
- Segregated nodal domains of two-dimensional multispecies Bose-Einstein condensates
- Dynamics of rotating two-component Bose-Einstein condensates and its efficient computation
- Ground state of \(N\) coupled nonlinear Schrödinger equations in \(\mathbb R^n\), \(n \leq 3\)
- An optimal partition problem for eigenvalues
- Computing the Ground State Solution of Bose--Einstein Condensates by a Normalized Gradient Flow
- Ground States and Dynamics of Multicomponent Bose--Einstein Condensates
- Computing Ground States of Spin-1 Bose–Einstein Condensates by the Normalized Gradient Flow
- Numerical approximations of a norm-preserving gradient flow and applications to an optimal partition problem
