Quench dynamics of Anderson-localized interacting exciton-polaritons

Exciton–polaritons, formed through strong coupling between photons and excitons, exhibit unique characteristics such as an extremely small effective mass and a propensity to form Bose–Einstein condensates. The dynamics of these condensates are governed by a coupled system of equations that describe the condensate wavefunction and the excitonic reservoir density. Using imaginary-time evolution, the ground state of the condensate in a quasi-periodic potential is determined, revealing a transition from localized to delocalized states as the nonlinearity increases. After quenching the interaction strength, localized condensates with weak nonlinearity propagate without significant distortion, whereas those with strong nonlinearity exhibit breathing-like oscillations. Higher reservoir decay rates promote localization and suppress chaotic behavior, highlighting the interplay between nonlinearity and dissipation in determining the system’s dynamical behavior.