Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2007-06-29
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.
Laumann Chris
Scardicchio Antonello
Sondhi Shivaji L.
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