2 papers
math-ph2025
Interpolations for a quantum Parisi formula in transverse field mean-field spin glass models
C. Itoi, K. Fujiwara, Y. Sakamoto
A quantum Parisi formula for the transverse field Sherrington-Kirkpatrick (SK) model is proven with an elementary mathematical method. First, a self-overlap corrected quantum model…
math-ph2024
Existence of de Almeida-Thouless-type instability in the transverse field Sherrington-Kirkpatrick model
C. Itoi, K. Fujiwara, Y. Sakamoto
The interpolation method for mean field spin glass models developed by Guerra and Talagrand is extended to a quantum mean field spin glass model. This extension enables us to obtai…