4 papers · 1 filter
The quantum Almeida-Thouless line in the self-overlap-corrected quantum Sherrington-Kirkpatrick model
Chokri Manai, Simone Warzel
We present a complete analysis of the glass transition in the self-overlap-corrected Sherrington-Kirkpatrick (SK) model in a transverse magnetic field, also referred to as the quan…
The Quantum Random Energy Model is the Limit of Quantum -Spin Glasses
Anouar Kouraich, Chokri Manai, Simone Warzel
We consider the free energy of a class of spin glass models with -spin interactions in a transverse magnetic field. As , the infinite system-size free energy is…
Quantum Mean-Fields Spin Systems in a Random External Field
Chokri Manai
In this work, we consider general exchangeable quantum mean-field Hamiltonian such as the prominent quantum Curie-Weiss model under the influence of a random external field. Despit…
Dynamical Phase Diagram of the REM under independent spin-flips
Chokri Manai, Simone Warzel
We study the energy landscape of the Random Energy model (REM) integrated along trajectories of the simple random walk on the hypercube. We show that the quenched cumulant generati…