Cavity method for quantum spin glasses on the Bethe lattice
arXiv:0706.4391 · doi:10.1103/PhysRevB.78.134424
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.
27 pages, 9 figures