Time Evolution,Dynamical Quantum Fluctuation and High-Order Squeezing Feature in Polariton System——Ⅰ

摘要

We have set up a new reduced model Hamiltonian for the polariton system, in which the nonlinearinteraction contains the rotating term k_1(a^+b+ab^+) and the attractive two-mode squeezed coupling-k_2(a^+b^+ + ab).The dynamical evolution of this system has been solved and the nonclassical features relevant to the second-order andhigh-order squeezing have been obtained in an analytical form.For the first time, in contrast to the existing result,we have confirmed for the phonon Held that the attractive two-mode squeezed interaction will not only result in thesecond-order and high-order squeezing in X-component with the time evolution, but also in time average.Furthermore,the phenomena of collapse and revival of inversion will occur as well in the time evolution of the average number ofphoton and phonon, as also in the second-order and high-order squeezing of photon Held, particularly, in the high-ordersqueezing of phonon field.