Cover Image

Computing the Gross-Pitaevskii Ground State via Wasserstein Gradient Flow in Diffeomorphism Space

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Zhang, Xiangxiong, Zhou, Haomin
Format:	Preprint
Published:	2026
Subjects:	Numerical Analysis 35Q55, 49Q22, 65K10, 81Q05
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

An extended Fourier pseudospectral method for the Gross-Pitaevskii equation with low regularity potential
by: Bao, Weizhu, et al.
Published: (2023)

Convergence of a Riemannian gradient method for the Gross-Pitaevskii energy functional in a rotating frame
by: Henning, Patrick, et al.
Published: (2024)

A Lawson-time-splitting extended Fourier pseudospectral method for the Gross-Pitaevskii equation with time-dependent low regularity potential
by: Lin, Bo, et al.
Published: (2024)

A Simple GPU-Accelerated Solver for the Schrödinger Operator with Applications to Ground States and Hamiltonian Simulation
by: Liu, Xinyu, et al.
Published: (2026)

Model Hierarchy for the Shape Optimization of a Microchannel Cooling System
by: Blauth, Sebastian, et al.
Published: (2019)

Structure and symmetry of the Gross-Pitaevskii ground-state manifold
by: Feng, Zixu, et al.
Published: (2026)

Error estimates of an exponential wave integrator for the nonlinear Schrödinger equation with singular potential
by: Bao, Weizhu, et al.
Published: (2025)

Low regularity estimates of the Lie-Totter time-splitting Fourier spectral method for the logarithmic Schrödinger equation
by: Zhang, Xiaolong, et al.
Published: (2024)

A two level approach for simulating Bose-Einstein condensates by localized orthogonal decomposition
by: Döding, Christian, et al.
Published: (2022)

Error estimates of the time-splitting methods for the nonlinear Schrödinger equation with semi-smooth nonlinearity
by: Bao, Weizhu, et al.
Published: (2023)

Optimal error bounds on the exponential wave integrator for the nonlinear Schrödinger equation with low regularity potential and nonlinearity
by: Bao, Weizhu, et al.
Published: (2023)

Optimal error bounds on time-splitting methods for the nonlinear Schrödinger equation with low regularity potential and nonlinearity
by: Bao, Weizhu, et al.
Published: (2023)

An explicit and symmetric exponential wave integrator for the nonlinear Schrödinger equation with low regularity potential and nonlinearity
by: Bao, Weizhu, et al.
Published: (2023)

Optimal error bounds on an exponential wave integrator Fourier spectral method for the logarithmic Schrödinger equation
by: Bao, Weizhu, et al.
Published: (2024)

Nonlinear Inverse Iterations for Spin-Orbit Coupled Quantum Gases
by: Henning, Patrick, et al.
Published: (2026)

Wasserstein convergence rates for stochastic particle approximation of Boltzmann models
by: Borghi, Giacomo, et al.
Published: (2025)

On the geometry and dynamical formulation of the Sinkhorn algorithm for optimal transport
by: Modin, Klas
Published: (2023)

On Optimal Convergence Rates for the Nonlinear Schrödinger Equation with a Wave Operator via Localized Orthogonal Decomposition
by: Hu, Hanzhang, et al.
Published: (2026)

Efficient finite element methods for semiclassical nonlinear Schrödinger equations with random potentials
by: Li, Panchi, et al.
Published: (2025)

Optimal error bounds on an exponential wave integrator Fourier spectral method for fractional nonlinear Schrödinger equations with low regularity potential and nonlinearity
by: Jia, Junqing, et al.
Published: (2024)

High-order time splitting methods for the nonlinear Gross-Pitaevskii equation
by: Ben, Roberto, et al.
Published: (2026)

Radon--Wasserstein Gradient Flows for Interacting-Particle Sampling in High Dimensions
by: Hess-Childs, Elias, et al.
Published: (2026)

Limit theorems for empirical measures of interacting quantum systems in Wasserstein space
by: Portinale, Lorenzo, et al.
Published: (2023)

The dependency of spectral gaps on the convergence of the inverse iteration for a nonlinear eigenvector problem
by: Henning, Patrick
Published: (2022)

Enhanced Stability in Quantum Optimal Transport Pseudometrics: From Hartree to Vlasov-Poisson
by: Iacobelli, Mikaela, et al.
Published: (2024)

Space Mapping for PDE Constrained Shape Optimization
by: Blauth, Sebastian
Published: (2022)

Riemannian optimisation methods for ground states of multicomponent Bose-Einstein condensates
by: Altmann, R., et al.
Published: (2024)

Enforcing Mesh Quality Constraints in Shape Optimization with a Gradient Projection Method
by: Blauth, Sebastian, et al.
Published: (2024)

Quantum thermodynamics and semidefinite programming: regularization and algorithms
by: Caputo, Emanuele, et al.
Published: (2026)

Asymptotic analysis of the weakly interacting Bose gas: A collection of recent results and applications
by: Boßmann, Lea, et al.
Published: (2023)

Fourth-order uniformly accurate integrators with long time near conservations for the nonlinear Dirac equation in the nonrelativistic regime
by: Wang, Lina, et al.
Published: (2025)

Approximation of Splines in Wasserstein Spaces
by: Justiniano, Jorge, et al.
Published: (2023)

Global-in-time Well-posedness of the One-dimensional Hydrodynamic Gross-Pitaevskii Equations without Vacuum
by: Wegner, Robert
Published: (2023)

A Note on the Binding Energy for Bosons in the Mean-field Limit
by: Boßmann, Lea, et al.
Published: (2023)

Bogoliubov Dynamics and Higher-order Corrections for the Regularized Nelson Model
by: Falconi, Marco, et al.
Published: (2021)

A Mollification Approach to Ramified Transport and Tree Shape Optimization
by: Bressan, Alberto, et al.
Published: (2026)

A supervised learning scheme for computing Hamilton-Jacobi equation via density coupling
by: Cui, Jianbo, et al.
Published: (2024)

Guaranteeing Higher Order Convergence Rates for Accelerated Wasserstein Gradient Flow Schemes
by: Chu, Raymond, et al.
Published: (2025)

Fully discrete energy-dissipative and conservative discrete gradient particle methods for a class of continuity equations
by: Hu, Jingwei, et al.
Published: (2024)

Derivation and Numerical Simulation of a Thermodynamically Consistent Magneto Two-Phase Flow Model for Magnetic Drug Targeting
by: Bänsch, Eberhard, et al.
Published: (2025)