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

Guo-Dong Liang, Xiao-Min Yu, Chaofan Yu

We have set up a new reduced model Hamiltonian for the polariton system, in which the nonlinear interaction 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 and high-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 field that the attractive two-mode squeezed interaction will not only result in the second-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 of photon and phonon, as also in the second-order and high-order squeezing of photon field, particularly, in the high-order squeezing of phonon field.

Fabrice P. Laussy

YU Xiao-min, Liang Guo-Dong, Yanhua Zhong +1 more

In this paper, we have considered the polariton system described by the model effective Hamiltonian involving a single-mode photon field interacting with a transverse optical phonon in a more realistic form. On this basis, the dynamical evolution of the polariton system, and the quantum fluctuation and the non-classical properties for this system have been investigated in an analytic form. By the nonlinear interactions of the system, when the radiation field was initially in the coherent state and the polarization wave field in the vacuum state, the radiation field and the phonon field can be developed to the squeezed state with time evolution and their second-order squeezing oscillates with time evolution in a complex periodical form. When k1=0 or k2=0, the squeezed effects do not occur. The non-classical properties are determined by the nonlinear coupling of the system and depend on the existence of the k1 and k2 terms simultaneously. At the same time, it is shown that the new results indicate that the statistical distribution of the photon and phonon can oscillate between super-Poisson and sub-Poisson distribution with time evolution, the nonlinear terms k1(a++) and k2(a+b++ab) have contributions to the non-classical statistical feature.

M. Artoni, Joseph L. Birman

Selma Koghee, Michiel Wouters

We present a theoretical study of the quantum depletion of microcavity polaritons that are excited with a resonant laser pulse. The dynamics of the quantum fluctuations are interpreted in the context of quantum quenches in general and in terms of the dynamical Casimir effect in particular. We compute the time evolution of the first- and second-order correlation functions of the polariton condensate. Our theoretical modeling is based on the truncated Wigner approximation for interacting Bose gases. For homogeneous systems, analytical results are obtained in the linearized Bogoliubov approximation. Inhomogeneous systems are studied numerically by Monte Carlo simulations.

David W. Snoke