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arXiv · 0901.2025

Random Hamiltonian in thermal equilibrium

Dorje C. Brody·David C. P. Ellis·Darryl D. Holm
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Abstract

A framework for the investigation of disordered quantum systems in thermal equilibrium is proposed. The approach is based on a dynamical model--which consists of a combination of a double-bracket gradient flow and a uniform Brownian fluctuation--that `equilibrates' the Hamiltonian into a canonical distribution. The resulting equilibrium state is used to calculate quenched and annealed averages of quantum observables.

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Dorje C. Brody, David C. P. Ellis, Darryl D. Holm. 2009-01-14. Random Hamiltonian in thermal equilibrium. https://doi.org/10.1088/1742-6596/174/1/012041

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