Simulation of quantum many-body systems with strings of operators and Monte Carlo tensor contractions

Norbert Schuch, Michael M. Wolf, Frank Verstraete, J. Ignacio Cirac

Publications: Contribution to journalArticlePeer Reviewed

Abstract

We introduce string-bond states, a class of states obtained by placing strings of operators on a lattice, which encompasses the relevant states in quantum information. For string-bond states, expectation values of local observables can be computed efficiently using Monte Carlo sampling, making them suitable for a variational algorithm which extends the density matrix renormalization group to higher dimensional and irregular systems. Numerical results demonstrate the applicability of these states to the simulation of many-body systems.
Original languageEnglish
Article number040501
Number of pages4
JournalPhysical Review Letters
Volume100
Issue number4
DOIs
Publication statusPublished - 1 Feb 2008

Austrian Fields of Science 2012

  • 103025 Quantum mechanics

Keywords

  • STATES
  • MODELS

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