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arxiv: 1602.01166 · v2 · pith:FPVF5F6P · submitted 2016-02-03 · cond-mat.str-el · quant-ph

Entanglement renormalization and wavelets

Glen Evenbly , Steven R. White This is my paper

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classification cond-mat.str-el quant-ph
keywords renormalizationentanglementsystemscriticalmerawaveletsanalyticansatz
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We establish a precise connection between discrete wavelet transforms (WTs) and entanglement renormalization (ER), a real-space renormalization group transformation for quantum systems on the lattice, in the context of free particle systems. Specifically, we employ Daubechies wavelets to build approximations to the ground state of the critical Ising model, then demonstrate that these states correspond to instances of the multi-scale entanglement renormalization ansatz (MERA), producing the first known analytic MERA for critical systems.

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