Matrix Product States for Dynamical Simulation of Infinite Chains

M. C. Bañuls, M. B. Hastings, F. Verstraete, and J. I. Cirac
Phys. Rev. Lett. 102, 240603 – Published 18 June 2009

Abstract

We propose a new method for computing the ground state properties and the time evolution of infinite chains based on a transverse contraction of the tensor network. The method does not require finite size extrapolation and avoids explicit truncation of the bond dimension along the evolution. By folding the network in the time direction prior to contraction, time-dependent expectation values and dynamic correlation functions can be computed after much longer evolution time than with any previous method. Moreover, the algorithm we propose can be used for the study of some noninvariant infinite chains, including impurity models.

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  • Received 14 April 2009

DOI:https://doi.org/10.1103/PhysRevLett.102.240603

©2009 American Physical Society

Authors & Affiliations

M. C. Bañuls1,*, M. B. Hastings2, F. Verstraete3, and J. I. Cirac1

  • 1Max-Planck-Institut für Quantenoptik, Hans-Kopfermann-Strasse 1, 85748 Garching, Germany
  • 2Microsoft Research, Station Q, CNSI Building, University of California, Santa Barbara, California 93106, USA
  • 3Fakultät für Physik, Universität Wien, Boltzmanngasse 5, A-1090 Wien, Austria

  • *banulsm@mpq.mpg.de

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Vol. 102, Iss. 24 — 19 June 2009

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