A Simple GPU-Accelerated Solver for the Schrödinger Operator with Applications to Ground States and Hamiltonian Simulation
Fuente:
arXiv
Saved in:
| Main Authors: | Liu, Xinyu, Zhang, Xiangxiong |
|---|---|
| Format: | Preprint |
| Published: |
2026
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Similar Items
Optimal error bounds on the exponential wave integrator for nonlinear Schrödinger equations with highly singular potential
by: Bao, Weizhu, et al.
Published: (2026)
by: Bao, Weizhu, et al.
Published: (2026)
Error estimates of the time-splitting methods for the nonlinear Schrödinger equation with semi-smooth nonlinearity
by: Bao, Weizhu, et al.
Published: (2023)
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)
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)
by: Bao, Weizhu, et al.
Published: (2024)
Low regularity estimates of the Lie-Totter time-splitting Fourier spectral method for the logarithmic Schrödinger equation
by: Zhang, Xiaolong, et al.
Published: (2024)
by: Zhang, Xiaolong, et al.
Published: (2024)
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)
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)
by: Bao, Weizhu, et al.
Published: (2023)
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)
by: Lin, Bo, et al.
Published: (2024)
An extended Fourier pseudospectral method for the Gross-Pitaevskii equation with low regularity potential
by: Bao, Weizhu, et al.
Published: (2023)
by: Bao, Weizhu, et al.
Published: (2023)
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)
by: Jia, Junqing, et al.
Published: (2024)
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)
by: Wang, Lina, et al.
Published: (2025)
Error estimates of an exponential wave integrator for the nonlinear Schrödinger equation with singular potential
by: Bao, Weizhu, et al.
Published: (2025)
by: Bao, Weizhu, et al.
Published: (2025)
Computing the Gross-Pitaevskii Ground State via Wasserstein Gradient Flow in Diffeomorphism Space
by: Zhang, Xiangxiong, et al.
Published: (2026)
by: Zhang, Xiangxiong, et al.
Published: (2026)
Convergence of a Riemannian gradient method for the Gross-Pitaevskii energy functional in a rotating frame
by: Henning, Patrick, et al.
Published: (2024)
by: Henning, Patrick, et al.
Published: (2024)
Nonlinear Inverse Iterations for Spin-Orbit Coupled Quantum Gases
by: Henning, Patrick, et al.
Published: (2026)
by: Henning, Patrick, et al.
Published: (2026)
The dependency of spectral gaps on the convergence of the inverse iteration for a nonlinear eigenvector problem
by: Henning, Patrick
Published: (2022)
by: Henning, Patrick
Published: (2022)
On Optimal Convergence Rates for the Nonlinear Schrödinger Equation with a Wave Operator via Localized Orthogonal Decomposition
by: Hu, Hanzhang, et al.
Published: (2026)
by: Hu, Hanzhang, et al.
Published: (2026)
A two level approach for simulating Bose-Einstein condensates by localized orthogonal decomposition
by: Döding, Christian, et al.
Published: (2022)
by: Döding, Christian, et al.
Published: (2022)
Asymptotic Recovery in Fourier Spectral Methods for the Schrödinger Equation with Point Singularities
by: Li, Yanjie, et al.
Published: (2026)
by: Li, Yanjie, et al.
Published: (2026)
Explicit Two-Sided Eigenvalue Bounds for Schrödinger Operators with Singular Potentials via Finite Element Method
by: Liu, Xuefeng
Published: (2026)
by: Liu, Xuefeng
Published: (2026)
Error estimates of time-splitting schemes for nonlinear Klein--Gordon equation with rough data
by: Ji, Lun, et al.
Published: (2025)
by: Ji, Lun, et al.
Published: (2025)
Numerical analysis and simulation of lateral memristive devices: Schottky, ohmic, and multi-dimensional electrode models
by: Abdel, Dilara, et al.
Published: (2024)
by: Abdel, Dilara, et al.
Published: (2024)
Dense cell-by-cell systems of PDEs: approximation, spectral analysis, and preconditioning
by: Benedusi, Pietro, et al.
Published: (2024)
by: Benedusi, Pietro, et al.
Published: (2024)
Explicit symmetric low-regularity integrators for the nonlinear Schrödinger equation
by: Feng, Yue, et al.
Published: (2024)
by: Feng, Yue, et al.
Published: (2024)
Covariant Guiding Laws for Fields
by: Derakhshani, Maaneli, et al.
Published: (2021)
by: Derakhshani, Maaneli, et al.
Published: (2021)
A model reduction method for solving the eigenvalue problem of semiclassical random Schrödinger operators
by: Li, Panchi, et al.
Published: (2025)
by: Li, Panchi, et al.
Published: (2025)
On discrete ground states of rotating Bose-Einstein condensates
by: Henning, Patrick, et al.
Published: (2023)
by: Henning, Patrick, et al.
Published: (2023)
Efficient finite element methods for semiclassical nonlinear Schrödinger equations with random potentials
by: Li, Panchi, et al.
Published: (2025)
by: Li, Panchi, et al.
Published: (2025)
Error estimates of a regularized finite difference method for the Logarithmic Schrödinger equation with Dirac delta potential
by: Zhou, Xuanxuan, et al.
Published: (2024)
by: Zhou, Xuanxuan, et al.
Published: (2024)
A uniformly accurate multiscale time integrator for the nonlinear Klein-Gordon equation in the nonrelativistic regime via simplified transmission conditions
by: Bao, Weizhu, et al.
Published: (2026)
by: Bao, Weizhu, et al.
Published: (2026)
Optimal error bounds on the exponential integrator for dispersive equations with highly concentrated potential
by: Bal, Guillaume, et al.
Published: (2026)
by: Bal, Guillaume, et al.
Published: (2026)
Computing nonlinear Schrödinger equations with Hermite functions beyond harmonic traps
by: Banica, Valeria, et al.
Published: (2025)
by: Banica, Valeria, et al.
Published: (2025)
A robust solver for H(curl) convection-diffusion and its local Fourier analysis
by: Wang, Jindong, et al.
Published: (2024)
by: Wang, Jindong, et al.
Published: (2024)
Existence of solutions and uniform bounds for the stationary semiconductor equations with generation and ionic carriers
by: Abdel, Dilara, et al.
Published: (2025)
by: Abdel, Dilara, et al.
Published: (2025)
Positivity preserving finite element method for the Gross-Pitaevskii ground state: discrete uniqueness and global convergence
by: Hauck, Moritz, et al.
Published: (2024)
by: Hauck, Moritz, et al.
Published: (2024)
A sixth-order compact time-splitting Fourier pseudospectral method
by: Gao, Weiguo, et al.
Published: (2026)
by: Gao, Weiguo, et al.
Published: (2026)
Fast solvers for the high-order FEM simplicial de Rham complex: Extended edition
by: Brubeck, Pablo D., et al.
Published: (2025)
by: Brubeck, Pablo D., et al.
Published: (2025)
A scalable and robust vertex-star relaxation for high-order FEM
by: Brubeck, Pablo D., et al.
Published: (2021)
by: Brubeck, Pablo D., et al.
Published: (2021)
Constrained Optimal Polynomials for Quantum Linear System Solvers
by: Deiml, Matthias, et al.
Published: (2026)
by: Deiml, Matthias, et al.
Published: (2026)
Irrational-window-filter projection method and application to quasiperiodic Schrödinger eigenproblems
by: Jiang, Kai, et al.
Published: (2024)
by: Jiang, Kai, et al.
Published: (2024)
Similar Items
-
Optimal error bounds on the exponential wave integrator for nonlinear Schrödinger equations with highly singular potential
by: Bao, Weizhu, et al.
Published: (2026) -
Error estimates of the time-splitting methods for the nonlinear Schrödinger equation with semi-smooth 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) -
Low regularity estimates of the Lie-Totter time-splitting Fourier spectral method for the logarithmic Schrödinger equation
by: Zhang, Xiaolong, et al.
Published: (2024)