Massively parallel implementation and approaches to simulate quantum dynamics using Krylov subspace techniques

DOI10.1016/j.cpc.2018.08.010arXiv1704.02770OpenAlexW2606473596MaRDI QIDQ6159550

Ivan Girotto, Vipin Kerala Varma, Antonello Scardicchio, Marlon Brenes

Publication date: 5 May 2023

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

Full work available at URL: https://arxiv.org/abs/1704.02770

zbMATH Keywords

Krylov subspace methodsstrongly interacting systemsdistributed memory parallelismunitary quantum dynamics

Mathematics Subject Classification ID

Parallel numerical computation (65Y05) Software, source code, etc. for problems pertaining to quantum theory (81-04) Packaged methods for numerical algorithms (65Y15)

Related Items (2)

Modeling complex quantum dynamics: evolution of numerical algorithms in the HPC context ⋮ \textit{TimeEvolver}: a program for time evolution with improved error bound

Cites Work

• Integrals of motion in the many-body localized phase
• Extended Krylov subspace for parameter dependent systems
• The extended Krylov subspace method and orthogonal Laurent polynomials
• Metal--insulator transition in a weakly interacting many-electron system with localized single-particle states
• Block Krylov subspace methods for functions of matrices
• Computational many-particle physics. Papers presented at the summer school, Greifswald, Germany, September 2006.
• Normal typicality and von Neumann’s quantum ergodic theorem
• SLEPc
• Expokit
• On Krylov Subspace Approximations to the Matrix Exponential Operator
• Extended Krylov Subspaces: Approximation of the Matrix Square Root and Related Functions
• A Restarted Krylov Subspace Method for the Evaluation of Matrix Functions

This page was built for publication: Massively parallel implementation and approaches to simulate quantum dynamics using Krylov subspace techniques