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math-ph2026
A perturbative microscopic derivation of the focusing measure with rough cut-off
Shahnaz Farhat, Andrew Rout
We give a derivation of the Gibbs measure for the focusing nonlinear Schrödinger equation (NLS) on the circle with rough cut-off. This extends earlier work by Sohinger and the seco…
math-ph2026
Ground state energy of the Bose--Hubbard model with large coordination number with a polaron-type quantum de Finetti theorem
Shahnaz Farhat, Denis Périce, Sören Petrat
We consider the ground state energy of the Bose--Hubbard model on a graph with large and homogeneous coordination number. In the limit of infinite coordination number, we prove con…