Acceleration of the imaginary time method for spectrally computing the stationary states of Gross-Pitaevskii equations

DOI10.1016/j.cpc.2017.05.008zbMath1411.81026OpenAlexW2594763019MaRDI QIDQ1739125

Christophe Besse, Vittorio Rispoli, Xavier Antoine, Romain Duboscq

Publication date: 25 April 2019

Published in: Computer Physics Communications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cpc.2017.05.008

zbMATH Keywords

stationary statesBose-Einstein condensationpseudospectral approximationaccelerated gradientrotating Gross-Pitaevskii equationimaginary time formulation

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Computational methods for problems pertaining to quantum theory (81-08) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70)

Related Items (7)

An efficient and conservative compact finite difference scheme for the coupled Gross-Pitaevskii equations describing spin-1 Bose-Einstein condensate ⋮ Computation of Ground States of the Gross--Pitaevskii Functional via Riemannian Optimization ⋮ A normalized gradient flow method with attractive-repulsive splitting for computing ground states of Bose-Einstein condensates with higher-order interaction ⋮ A Preconditioned Conjugated Gradient Method for Computing Ground States of Rotating Dipolar Bose-Einstein Condensates via Kernel Truncation Method for Dipole-Dipole Interaction Evaluation ⋮ On Stabilizing and Accelerating SCF Using ITP in Solving Kohn–Sham Equation ⋮ A constrained gentlest ascent dynamics and its applications to finding excited states of Bose-Einstein condensates ⋮ Generalized fractional algebraic linear system solvers

Uses Software

• iPiano

Cites Work

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• A Two-Parameter Continuation Method for Rotating Two-Component Bose-Einstein Condensates in Optical Lattices
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