English

Random Hamiltonian in thermal equilibrium

Quantum Physics 2013-09-13 v1 Statistical Mechanics

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.

Keywords

Cite

@article{arxiv.0901.2025,
  title  = {Random Hamiltonian in thermal equilibrium},
  author = {Dorje C. Brody and David C. P. Ellis and Darryl D. Holm},
  journal= {arXiv preprint arXiv:0901.2025},
  year   = {2013}
}

Comments

8 pages, 4 figures. To appear in DICE 2008 conference proceedings

R2 v1 2026-06-21T12:00:43.359Z