A Spectrally Accurate Numerical Method for Computing the Bogoliubov--de Gennes Excitations of Dipolar Bose--Einstein Condensates
DOI10.1137/21M1401048zbMath1484.65273MaRDI QIDQ5022490
Yu Qing Zhang, Qinglin Tang, Manting Xie, Yong Zhang
Publication date: 19 January 2022
Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)
dipolar Bose-Einstein condensatesBogoliubov-de Gennes excitationsconvolution-type nonlocal interactionFourier spectral convolution method
Analysis of algorithms and problem complexity (68Q25) Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Numerical methods for integral equations (65R20) Numerical methods for discrete and fast Fourier transforms (65T50) Quantum dynamics and nonequilibrium statistical mechanics (general) (82C10) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Statistical mechanics of gases (82D05) PDEs in connection with statistical mechanics (35Q82)
Related Items (1)
Cites Work
- A full multigrid method for nonlinear eigenvalue problems
- Robust and efficient preconditioned Krylov spectral solvers for computing the ground states of fast rotating and strongly interacting Bose-Einstein condensates
- Dimension reduction for dipolar Bose-Einstein condensates in the strong interaction regime
- Computing the ground state and dynamics of the nonlinear Schrödinger equation with nonlocal interactions via the nonuniform FFT
- A projection gradient method for computing ground state of spin-2 Bose-Einstein condensates
- Efficient and spectrally accurate numerical methods for computing ground and first excited states in Bose-Einstein condensates
- Accurate and efficient computation of nonlocal potentials based on Gaussian-sum approximation
- 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
- Mathematical theory and numerical methods for Bose-Einstein condensation
- Numerical methods for Bogoliubov-de Gennes excitations of Bose-Einstein condensates
- Fast convolution with free-space Green's functions
- A finite element method with mesh adaptivity for computing vortex states in fast-rotating Bose-Einstein condensates
- Efficient numerical methods for computing ground states and dynamics of dipolar Bose-Einstein condensates
- Minimization Principles for the Linear Response Eigenvalue Problem II: Computation
- Fast and Accurate Evaluation of Nonlocal Coulomb and Dipole-Dipole Interactions via the Nonuniform FFT
- Numerical Methods for Large Eigenvalue Problems
- The Anisotropic Truncated Kernel Method for Convolution with Free-Space Green's Functions
- Minimization Principles for the Linear Response Eigenvalue Problem I: Theory
- A Preconditioned Conjugated Gradient Method for Computing Ground States of Rotating Dipolar Bose-Einstein Condensates via Kernel Truncation Method for Dipole-Dipole Interaction Evaluation
- A Multigrid Method for Ground State Solution of Bose-Einstein Condensates
- Accurate and Efficient Numerical Methods for Computing Ground States and Dynamics of Dipolar Bose-Einstein Condensates via the Nonuniform FFT
- Dimension Reduction of the Schrödinger Equation with Coulomb and Anisotropic Confining Potentials
This page was built for publication: A Spectrally Accurate Numerical Method for Computing the Bogoliubov--de Gennes Excitations of Dipolar Bose--Einstein Condensates
