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Critical exponents with a multiscale entanglement renormalization Ansatz channel

Source: Phys. Rev. B 80, 113103 (2009); doi:10.1103/PhysRevB.80.113103

Published 30 September 2009

KEYWORDS and PACS
Keywords
PACS
  • 64.70.Tg
    Quantum phase transitions
  • 03.67.-a
    Quantum information
  • 05.30.-d
    Quantum statistical mechanics
  • 89.70.-a
    Information and communication theory
  • YEAR: 2009
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PUBLICATION DATA
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S. Montangero,1,2 M. Rizzi,3 V. Giovannetti,2 and Rosario Fazio2
1Institut für Quanteninformationsverarbeitung, Universität Ulm, D-89069 Ulm, Germany
2NEST CNR-INFM and Scuola Normale Superiore, Piazza dei Cavalieri 7, I-56126 Pisa, Italy
3Max-Planck-Institut für Quantenoptik, Hans-Kopfermann-Str. 1, D-85748 Garching, Germany
We show how to compute the critical exponents of one-dimensional quantum critical systems in the thermodynamic limit. The method is based on an iterative scheme applied to the multiscale entanglement renormalization Ansatz for the ground-state wave function. We test this scheme to compute the critical exponents of the Ising and XXZ model for which we can compare the method with the exact values. The agreement is at worst within few percent of the exact results already for moderate dimensions of the tensor indices. ©2009 The American Physical Society
History: Received 11 December 2008; revised 23 June 2009; published 30 September 2009
Permalink: http://link.aps.org/abstract/PRB/v80/e113103

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