Cavity method for quantum spin glasses on the Bethe lattice

C. Laumann; A. Scardicchio; S. L. Sondhi

doi:10.1103/PhysRevB.78.134424

Cavity method for quantum spin glasses on the Bethe lattice

C. Laumann, A. Scardicchio, S. L. Sondhi

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

Original language	English (US)
Article number	134424
Journal	Physical Review B - Condensed Matter and Materials Physics
Volume	78
Issue number	13
DOIs	https://doi.org/10.1103/PhysRevB.78.134424
State	Published - Oct 28 2008

All Science Journal Classification (ASJC) codes

Electronic, Optical and Magnetic Materials
Condensed Matter Physics

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10.1103/PhysRevB.78.134424

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

author = "C. Laumann and A. Scardicchio and Sondhi, {S. L.}",

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AB - 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 ±J couplings and investigate the distribution of various classical and quantum observables.

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Cavity method for quantum spin glasses on the Bethe lattice

Abstract

All Science Journal Classification (ASJC) codes

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