Phase Transition in the Density of States of Quantum Spin Glasses

@inproceedings{ErdHos2014PhaseTI,
  title={Phase Transition in the Density of States of Quantum Spin Glasses},
  author={L'aszl'o ErdHos and Dominik Schr{\"o}der},
  year={2014}
}
We prove that the empirical density of states of quantum spin glasses on arbitrary graphs converges to a normal distribution as long as the maximal degree is negligible compared with the total number of edges. This extends the recent results of [6] that were proved for graphs with bounded chromatic number and with symmetric coupling distribution. Furthermore, we generalise the result to arbitrary hypergraphs. We test the optimality of our condition on the maximal degree for p-uniform… 

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We prove that the empirical density of states of quantum spin glasses on arbitrary graphs converges to a normal distribution as long as the maximal degree is negligible compared with the total number

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Les fonctions quasi analytiques : leçons professées au Collège de France