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Large deviation principle for a stochastic nonlinear damped Schrodinger equation
Sandip Roy, Debopriya Mukherjee, Manil Thankamani Mohan
https://arxiv.org/abs/2510.06110 https:/…

Large deviation principle for a stochastic nonlinear damped Schrodinger equation
The present paper focuses on the stochastic nonlinear Schrodinger equation with polynomial nonlinearity, and a zero-order (no derivatives involved) linear damping. Here, the random forcing term appears as a mix of a nonlinear noise in the Ito sense and a linear multiplicative noise in the Stratonovich sense. We prove the Laplace principle for the family of solutions to the stochastic system in a suitable Polish space, using the weak convergence framework of Budhiraja and Dupuis. This analysis i…