Journal
PHYSICAL REVIEW A
Volume 90, Issue 5, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevA.90.050304
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Funding
- ERC grant QFTCMPS
- ERC grant SIQS
- DFG by the cluster of excellence EXC 201 Quantum Engineering and Space-Time Research
- JSPS Postdoctoral Fellowships
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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 t-design at temperature O(1/log(t)). For the system where the random interactions are local, we show that the ensemble achieves a state 1-design. We then provide numerical evidence indicating that the ensemble undergoes a phase transition at finite temperature.
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