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Construction of spin models displaying quantum criticality from quantum field theory

Tue, 2015-05-26 20:10 - Gemma De las Cuevas
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Date: 
2014-09-01 - 2014-09-30
Author(s): 

Ivan Glasser, J. Ignacio Cirac, Germán Sierra, Anne E. B. Nielsen

Reference: 

Nucl. Phys. B 886, 63 (2014)

URL: 

doi:10.1016/j.nuclphysb.2014.06.016

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.