WIDG Seminar: Chitres Guria, Yale University, "Topological structures and dynamics in an optomechanical system with exceptional points"
A system whose time evolution is linear, i.e. dx/dt= -iH.x, shows non-trivial topological structures and dynamics when the effective Hamiltonian H is allowed to be any complex matrix, which includes all Hermitian and non-Hermitian matrices. Previous works have investigated a system of two optomechanically coupled oscillators, described by a non-Hermitian 2x2 effective Hamiltonian H parametrized by two independent control parameters.