Homogeneous multiscale entanglement renormalization ansatz tensor networks for quantum critical systems

Details Homogeneous multiscale entanglement renormalization ansatz tensor networks for quantum critical systems Homogeneous multiscale entanglement renormalization ansatz tensor networks for quantum critical systems

Jul 2010

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2010njph...12g5018r&link_type=abstract

New Journal of Physics, Volume 12, Issue 7, pp. 075018 (2010).

Physics

1

Scientific paper

In this paper, we review the properties of homogeneous multiscale entanglement renormalization ansatz (MERA) to describe quantum critical systems. We discuss in more detail our results for one-dimensional (1D) systems (the Ising and Heisenberg models) and present new data for the 2D Ising model. Together with the results for the critical exponents, we provide a detailed description of the numerical algorithm and a discussion of new optimization strategies. The relation between the critical properties of the system and the tensor structure of the MERA is expressed using the formalism of quantum channels, which we review and extend.

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