Multi-scale Entanglement Renormalization Ansatz in Two Dimensions: Quantum Ising Model
classification
❄️ cond-mat.other
cond-mat.mes-hallcond-mat.stat-mechcond-mat.str-elphysics.comp-phquant-ph
keywords
ansatzquantumdimensionsentanglementisingmodelmulti-scalerenormalization
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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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