Cavity method for quantum spin glasses on the Bethe lattice
Statistical Mechanics
2009-10-19 v2 Disordered Systems and Neural Networks
Abstract
We propose a generalization of the cavity method to quantum spin glasses on fixed connectivity lattices. Our work is motivated by the recent refinements of the classical technique and its potential application to quantum computational problems. We numerically solve for the phase structure of a connectivity transverse field Ising model on a Bethe lattice with couplings, and investigate the distribution of various classical and quantum observables.
Cite
@article{arxiv.0706.4391,
title = {Cavity method for quantum spin glasses on the Bethe lattice},
author = {C. Laumann and A. Scardicchio and S. L. Sondhi},
journal= {arXiv preprint arXiv:0706.4391},
year = {2009}
}