Multi-scale Entanglement Renormalization Ansatz in Two Dimensions: Quantum Ising Model

Details Multi-scale Entanglement Renormalization Ansatz in Two Dimensions: Quantum Ising Model Multi-scale Entanglement Renormalization Ansatz in Two Dimensions: Quantum Ising Model

2007-10-20

arxiv.org/abs/0710.3829v4

Phys. Rev. Lett. 100, 240603 (2008)

Physics

Condensed Matter

Other Condensed Matter

version to appear in Phys. Rev. Letters

Scientific paper

10.1103/PhysRevLett.100.240603

We propose a symmetric version of the multi-scale entanglement
renormalization Ansatz (MERA) 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 $8\times8$ square lattice are found to be
very accurate even with the smallest non-trivial truncation parameter.

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