Efficient dynamical simulation of strongly correlated one-dimensional quantum systems

Stephen R. Clark*, Dieter Jaksch

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingConference Contribution (Conference Proceeding)

1 Citation (Scopus)

Abstract

Studying the unitary time evolution of strongly correlated quantum systems is one of the most challenging theoretical and experimental problems in physics. For an important class of one-dimensional (ID) systems dynamical simulations have become possible since the advent of the time-evolving block decimation (TEBD) algorithm. We study the computational properties of TEBD using the Bose-Hubbard model (BHM) as a test-bed. We demonstrate its efficiency and verify its accuracy through comparisons with an exactly solvable small system and via the convergence of one- and two-particle observables in a larger system.

Original languageEnglish
Title of host publicationLarge-Scale Scientific Computing - 5th International Conference, LSSC 2005, Revised Papers
Pages555-563
Number of pages9
DOIs
Publication statusPublished - 29 Jun 2006
Event5th International Conference on Large-Scale Scientific Computing, LSSC 2005 - Sozopol, Bulgaria
Duration: 6 Jun 200510 Jun 2005

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume3743 LNCS
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349

Conference

Conference5th International Conference on Large-Scale Scientific Computing, LSSC 2005
CountryBulgaria
CitySozopol
Period6/06/0510/06/05

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