A generalized finite-difference time-domain quantum method for the \(N\)-body interacting Hamiltonian

DOI10.1016/j.cpc.2012.06.012zbMath1302.65197OpenAlexW2078434131MaRDI QIDQ483809

Weizhong Dai, Frederick Ira III. Moxley, Fumitaka Fujiwara, Tim Byrnes

Publication date: 17 December 2014

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

Full work available at URL: https://doi.org/10.1016/j.cpc.2012.06.012

zbMATH Keywords

time dependent Schrödinger equationHubbard modelfinite-difference time-domain quantumMott insulator

Mathematics Subject Classification ID

Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Many-body theory; quantum Hall effect (81V70) Time-dependent Schrödinger equations and Dirac equations (35Q41)

Related Items (7)

A New Artificial Neural Network Method for Solving Schrödinger Equations on Unbounded Domains ⋮ A generalized finite-difference time-domain scheme for solving nonlinear Schrödinger equations ⋮ An alternating-direction hybrid implicit-explicit finite-difference time-domain method for the Schrödinger equation ⋮ Nonuniform and higher-order FDTD methods for the Schrödinger equation ⋮ Generalized finite-difference time-domain method with absorbing boundary conditions for solving the nonlinear Schrödinger equation on a GPU ⋮ A simple quantum integro-differential solver (SQuIDS) ⋮ A G-FDTD scheme for solving multi-dimensional open dissipative Gross-Pitaevskii equations

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