Construction of spin models displaying quantum criticality from quantum field theory

Abstract

We provide a method for constructing finite temperature states of one-dimensional spin chains displaying quantum criticality. These models are constructed using correlators of products of quantum fields and have an analytical purification. Their properties can be investigated by Monte-Carlo simulations, which enable us to study the low-temperature phase diagram and to show that it displays a region of quantum criticality. The mixed states obtained are shown to be close to the thermal state of a simple nearest neighbour Hamiltonian.

arXiv comment10 pages, 6 figures

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Cited by in corpus (4)

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• Infinite matrix product states, boundary conformal field theory, and the open Haldane-Shastry model
• Many-body Lattice Wavefunctions From Conformal Blocks
• The BCS wave function, matrix product states, and the Ising conformal field theory