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Phys. Rev. Lett. 100, 240603 (2008) [4 pages]

Multiscale Entanglement Renormalization Ansatz in Two Dimensions: Quantum Ising Model

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Lukasz Cincio, Jacek Dziarmaga, and Marek M. Rams
Institute of Physics and Centre for Complex Systems Research, Jagiellonian University, Reymonta 4, 30-059 Kraków, Poland

Received 30 October 2007; revised 22 April 2008; published 19 June 2008

We propose a symmetric version of the multiscale entanglement renormalization ansatz in two spatial dimensions (2D) and use this ansatz to find an unknown ground state of a 2D quantum system. Results in the simple 2D quantum Ising model on the 8×8 square lattice are found to be very accurate even with the smallest nontrivial truncation parameter.

© 2008 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.100.240603
DOI:
10.1103/PhysRevLett.100.240603
PACS:
05.50.+q, 03.65.Ud, 03.67.Mn