Thermal states of random quantum many-body systems
arXiv:1407.6136 · doi:10.1103/PhysRevA.90.050304
Abstract
We study a distribution of thermal states given by random Hamiltonians with a local structure. We show that the ensemble of thermal states monotonically approaches the unitarily invariant ensemble with decreasing temperature if all particles interact according to a single random interaction and achieves a state -design at temperature . For the system where the random interactions are local, we show that the ensemble achieves a state -design. We then provide numerical evidence indicating that the ensemble undergoes a phase transition at finite temperature.
arXiv comment5 pages, 4 figures
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