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arxiv: 0901.2025 · v1 · pith:D2DFFBNFnew · submitted 2009-01-14 · 🪐 quant-ph · cond-mat.stat-mech

Random Hamiltonian in thermal equilibrium

classification 🪐 quant-ph cond-mat.stat-mech
keywords equilibriumhamiltonianquantumthermalannealedapproachaveragesbrownian
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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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