Quasi-coherent states for a photon in time varying dielectric media

弘樹 斎藤, Hiroki Saito

Choi Choi, Jeong-Ryeol

L.-M. Duan, Guang‐Can Guo

The electromagnetic field is quantized in nonlinear media whose dielectric functions and nonlinear susceptibilities may vary with space. Given the dielectric function and nonlinear susceptibilities, the Hamiltonian of the electromagnetic field is determined completely by this quantization method. From Heisenberg equations we prove that Maxwell's equations are satisfied for the field operators. When the nonlinearity goes to zero, this quantization method returns to the generalized canonical quantization procedure developed in Ref.[1] for linear inhomogeneous media. The general formalism is illustrated by applications to quantization of the second-order and third-order nonlinear quasi-steady-state processes.

Ramón López–Peña, Vladimir I. Man’ko, Giuseppe Marmo +2 more

D. A. Trifonov, Andrey K. Angelow, Kouei Sekigawa +3 more

Dynamical invariants and statistical properties of the quantized electromagnetic field in nonstationary linear media (dielectric and/or conductive) are considered in the framework of Choi‐Yeon quantization scheme. It is shown that in the eigenstates of linear dynamical invariant the Robertson‐Schrödinger uncertainty relation is minimized, both for the photon annihilation operator quadratures and for the electric and magnetic field components. The time evolution of initial Glauber coherent states and Fock (photon number) states is considered. On an initial coherent state the medium conductivity and the time‐dependent electric permeability both are shown to act as squeezing and correlating factors.

Давид Николаевич Клышко