Cavity method for quantum spin glasses on the Bethe lattice

Details Cavity method for quantum spin glasses on the Bethe lattice Cavity method for quantum spin glasses on the Bethe lattice

2007-06-29

arxiv.org/abs/0706.4391v2

Phys. Rev. B 78, 134424 (2008)

Physics

Condensed Matter

Statistical Mechanics

27 pages, 9 figures

Scientific paper

10.1103/PhysRevB.78.134424

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 $q=3$ transverse field Ising model on a Bethe lattice with $\pm J$ couplings, and investigate the distribution of various classical and quantum observables.

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