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Universal Phase Transitions of Matter Induced in Optically Driven Cavities
Tsan Huang, Zhiyuan Sun
https://arxiv.org/abs/2505.24318 https://

Universal Phase Transitions of Matter Induced in Optically Driven Cavities
Optical cavities have been widely applied to manipulate the properties of solid state materials inside it. We propose that in systems embedded within optical cavities driven by incident pump light, the pump induces generic phase transitions into new non-equilibrium steady states. This effect arises from the ponderomotive potential, the effective static potential exerted by the pump on the low energy degrees of freedom, which exhibits a universal step-like structure that pushes the matter degree…

On the construction of solutions of the Davey--Stewartson I equation using an open Toda chain
I. T. Habibullin, A. R. Khakimova
https://arxiv.org/abs/2505.20786

On the construction of solutions of the Davey--Stewartson I equation using an open Toda chain
An effective method for constructing explicit solutions to the Davey--Stewartson type integrable equations is discussed based on the use of a dressing chain. The application of the method is exemplified by the equation DS I, for which a new class of explicit solutions is constructed, containing freedom in two arbitrary functions. In this case the generalized Toda lattice corresponding to the simple Lie algebra $A_2$ is used as a dressing chain.