119 citations · 1.3k across the 71 of their papers we have counts for
71 papers
Entanglement entropy bounds for pure states of rapid decorrelation
Michael Aizenman, Simone Warzel
For pure states of multi-dimensional quantum lattice systems, which in a convenient computational basis have amplitude and phase structure of sufficiently rapid decorrelation, we c…
The Spectral Gap and Low-Energy Spectrum in Mean-Field Quantum Spin Systems
Chokri Manai, Simone Warzel
A semiclassical analysis based on spin-coherent states is used to establish a classification and formulae for the spectral gap of mean-field spin Hamiltonians. For gapped systems w…
Trajectory phase transitions in non-interacting systems: all-to-all dynamics and the random energy model
Juan P. Garrahan, Chokri Manai, Simone Warzel
We study the fluctuations of time-additive random observables in the stochastic dynamics of a system of non-interacting Ising spins. We mainly consider the case of all-to-all d…
Spectral Analysis of the Quantum Random Energy Model
Chokri Manai, Simone Warzel
The Quantum Random Energy Model (QREM) is a random matrix of Anderson-type which describes effects of a transversal magnetic field on Derrida's spin glass. The model exhibits a gla…
A Bulk Spectral Gap in the Presence of Edge States for a Truncated Pseudopotential
Simone Warzel, Amanda Young
We study the low-energy properties of a truncated Haldane pseudopotential with maximal half filling, which describes a strongly correlated system of spinless bosons in a cylinder g…
The de Almeida-Thouless Line in Hierarchical Quantum Spin Glasses
Chokri Manai, Simone Warzel
We determine explicitly and discuss in detail the effects of the joint presence of a longitudinal and a transversal (random) magnetic field on the phases of the Random Energy Model…