119 citations · 1.3k across the 71 of their papers we have counts for
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math-ph2019★ 6 cited
The Quantum Random Energy Model as a Limit of p-Spin Interactions
Chokri Manai, Simone Warzel
We consider the free energy of a mean-field quantum spin glass described by a -spin interaction and a transversal magnetic field. Recent rigorous results for the case $ p= \in…
math-ph2019★ 15 cited
Phase Diagram of the Quantum Random Energy Model
Chokri Manai, Simone Warzel
We prove Goldschmidt's formula [Phys. Rev. B 47 (1990) 4858] for the free energy of the quantum random energy model. In particular, we verify the location of the first order and th…
math.PR2019★ 4 cited
Random characteristics for Wigner matrices
Per von Soosten, Simone Warzel
We extend the random characteristics approach to Wigner matrices whose entries are not required to have a normal distribution. As an application, we give a simple and fully dynamic…