VBS/CFT Correspondence and Thermal Tensor Network

Hiroaki Matsueda

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arXiv · 1208.5305

VBS/CFT Correspondence and Thermal Tensor Network

Hiroaki Matsueda

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Abstract

It has been recently observed that the reduced density matrix of a two-dimensional (2D) valence bond solid state can be mapped onto the thermal density matrix of a 1D Heisenberg quantum spin chain. Motivated by the observation, I propose a very simple phenomenological theory for this type of correspondence based on a finite-temperature tensor network formalism recently developed. I adress close relationship and sharp difference between the present correspondence and multiscale entanglement renormalization ansatz in terms of network geometry.

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Hiroaki Matsueda. 2012-08-27. VBS/CFT Correspondence and Thermal Tensor Network. https://arxiv.org/abs/1208.5305

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