8 papers · 1 filter
Correlation inequalities for transversal field models with application to quantum glasses
Chokri Manai, Simone Warzel
We study the class of transversal field models with pair interactions, including the quantum Curie-Weiss and the transversal field Ising model, as well as quantum spin glasses base…
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…
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…
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…
Transcendental properties of entropy-constrained sets: Part II
Vjosa Blakaj, Chokri Manai
In this work, we address the question of the impossibility of certain single-letter formulas by exploiting the semi-algebraic nature of various entropy-constrained sets. The focus…