Second-order flows for computing the ground states of rotating Bose-Einstein condensates (Q2683094)

scientific article; zbMATH DE number 7649290

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English	Second-order flows for computing the ground states of rotating Bose-Einstein condensates	scientific article; zbMATH DE number 7649290

Statements

instance of

scholarly article

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title

Second-order flows for computing the ground states of rotating Bose-Einstein condensates (English)

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author

Yanyan Li

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published in

Journal of Computational Physics

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publication date

3 February 2023

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full work available at URL

https://arxiv.org/abs/2205.00805

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zbMATH Keywords

rotating Bose-Einstein condensate

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Gross-Pitaevskii energy functional

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ground state

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inertial dynamics

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second-order dissipative hyperbolic PDEs

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constrained non-convex minimization

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describes a project that uses

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The \(J\)-method for the Gross-Pitaevskii eigenvalue problem

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Robust and efficient preconditioned Krylov spectral solvers for computing the ground states of fast rotating and strongly interacting Bose-Einstein condensates

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Efficient spectral computation of the stationary states of rotating Bose-Einstein condensates by preconditioned nonlinear conjugate gradient methods

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A Preconditioned Conjugated Gradient Method for Computing Ground States of Rotating Dipolar Bose-Einstein Condensates via Kernel Truncation Method for Dipole-Dipole Interaction Evaluation

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Fast convergence of inertial dynamics and algorithms with asymptotic vanishing viscosity

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THE HEAVY BALL WITH FRICTION METHOD, I. THE CONTINUOUS DYNAMICAL SYSTEM: GLOBAL EXPLORATION OF THE LOCAL MINIMA OF A REAL-VALUED FUNCTION BY ASYMPTOTIC ANALYSIS OF A DISSIPATIVE DYNAMICAL SYSTEM

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Mathematical theory and numerical methods for Bose-Einstein condensation

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Efficient and spectrally accurate numerical methods for computing ground and first excited states in Bose-Einstein condensates

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Computing the Ground State Solution of Bose--Einstein Condensates by a Normalized Gradient Flow

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Dynamics of Rotating Bose--Einstein Condensates and its Efficient and Accurate Numerical Computation

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Ground-state solution of Bose--Einstein condensate by directly minimizing the energy functional

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Ground, symmetric and central vortex states in rotating Bose-Einstein condensates

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Accelerated variational PDEs for efficient solution of regularized inversion problems

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Convergence rates of first- and higher-order dynamics for solving linear ill-posed problems

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Efficient and accurate gradient flow methods for computing ground states of spinor Bose-Einstein condensates

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A minimisation approach for computing the ground state of Gross-Pitaevskii systems

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Numerical analysis of nonlinear eigenvalue problems

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A finite element method with mesh adaptivity for computing vortex states in fast-rotating Bose-Einstein condensates

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A New Sobolev Gradient Method for Direct Minimization of the Gross–Pitaevskii Energy with Rotation

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Computation of Ground States of the Gross--Pitaevskii Functional via Riemannian Optimization

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A Class of Second-Order Geometric Quasilinear Hyperbolic PDEs and Their Application in Imaging

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BEC2HPC: a HPC spectral solver for nonlinear Schrödinger and rotating Gross-Pitaevskii equations. Stationary states computation

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Optimizing Schrödinger functionals using Sobolev gradients: Applications to quantum mechanics and nonlinear optics

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Dynamical representations of constrained multicomponent nonlinear Schrödinger equations in arbitrary dimensions

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Convergence Rates of Inertial Primal-Dual Dynamical Methods for Separable Convex Optimization Problems

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Gradient flow finite element discretizations with energy-based adaptivity for the Gross-Pitaevskii equation

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Sobolev Gradient Flow for the Gross--Pitaevskii Eigenvalue Problem: Global Convergence and Computational Efficiency

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

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A primal-dual flow for affine constrained convex optimization

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Q3320132

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A numerical damped oscillator approach to constrained Schrödinger equations

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Some methods of speeding up the convergence of iteration methods

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Gross-Pitaevskii theory of the rotating Bose gas

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A differential equation for modeling Nesterov's accelerated gradient method: theory and insights

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

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A regularized Newton method for computing ground states of Bose-Einstein condensates

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Efficiently computing vortex lattices in rapid rotating Bose-Einstein condensates

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On the second-order asymptotical regularization of linear ill-posed inverse problems

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An analysis of finite-dimensional approximations for the ground state solution of Bose–Einstein condensates

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Efficient SAV approach for imaginary time gradient flows with applications to one- and multi-component Bose-Einstein condensates

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Identifiers

Mathematics Subject Classification ID

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10.1016/J.JCP.2022.111872

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Sitelinks

Mathematics(1 entry)

mardi Publication:2683094