Normalized Gradient Flow with Lagrange Multiplier for Computing Ground States of Bose--Einstein Condensates

DOI10.1137/20M1328002zbMath1461.35198OpenAlexW3127420056MaRDI QIDQ5857617

Wei Liu, Yong-Yong Cai

Publication date: 1 April 2021

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/20m1328002

zbMATH Keywords

ground stateBose-Einstein condensategradient flow with discrete normalizationspin-1 BECgradient flow with Lagrange multiplier

Mathematics Subject Classification ID

Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) NLS equations (nonlinear Schrödinger equations) (35Q55) Quantum dynamics and nonequilibrium statistical mechanics (general) (82C10) Applications to the sciences (65Z05)

Related Items (6)

Efficient and accurate gradient flow methods for computing ground states of spinor Bose-Einstein condensates ⋮ Computing the Action Ground State for the Rotating Nonlinear Schrödinger Equation ⋮ Second-order flows for computing the ground states of rotating Bose-Einstein condensates ⋮ The dependency of spectral gaps on the convergence of the inverse iteration for a nonlinear eigenvector problem ⋮ Computing the least action ground state of the nonlinear Schrödinger equation by a normalized gradient flow ⋮ A constrained gentlest ascent dynamics and its applications to finding excited states of Bose-Einstein condensates

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