Solving the Schroedinger equation for the Sherrington-Kirkpatrick model in a transverse field

Abstract

By numerically solving the Schröedinger equation for small sizes we investigate the quantum critical point of the infinite-range Ising spin glass in a transverse field at zero temperature. Despite its simplicity the method yields accurate information on the value of the critical field and critical exponents. We obtain ${\Gamma }_c=1.47\pm 0.01$ and check that exponents are in agreement with analytical approaches.

4 Pages + 4 figures, Revtex

References in corpus (2)

• A Solvable Spin-Glass of Quantum Rotors
• Critical Properties of Random Quantum Potts and Clock Models

Cited by in corpus (8)

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• On the Question of Ergodicity in Quantum Spin Glass Phase and its role in Quantum Annealing
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