Phase transition and annealing in quantum random energy models

Details Phase transition and annealing in quantum random energy models Phase transition and annealing in quantum random energy models

2010-02-23

arxiv.org/abs/1002.4409v2

Physics

Condensed Matter

Statistical Mechanics

4 pages, 2 figures

Scientific paper

By using a previously established exact characterization of the ground state of random potential systems in the thermodynamic limit, we determine the ground and first excited energy levels of quantum random energy models, discrete and continuous, and rigorously establish the existence of a first order quantum phase transition. Our analysis, corroborated by Monte Carlo simulations, suggests that the presence of an exponentially vanishing minimal gap at the transition does not prevent the success of a quantum annealing algorithm.

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