3 papers
math-ph2026
Dynamical Localization for General Scattering Quantum Walks
Alain Joye, Andreas Schaefer, Simone Warzel
We consider quantum walks defined on arbitrary infinite graphs, parameterized by a family of scattering matrices attached to the vertices. Multiplying each scattering matrix by an…
math-ph2025
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…
math-ph2025
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…