1996/12/31 by L.-M. Duan, Lu-Ming Duan, Guang-Can Guo +1
Physics and Astronomy · #Mechanical and Optical Resonators #Quantum optics and atomic interactions #Strong Light-Matter Interactions #quant-ph
paper · pdf · doi:10.1103/physreva.56.925
published as Phys. Rev. A 56 (1), 925 (1997) · Corrections in references and introduction
openalex publication_date 1997/07/01 · arxiv created 1998/02/02 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
A simple approach is proposed for the quantization of the electromagnetic field in nonlinear and inhomogeneous media. Given the dielectric function and nonlinear susceptibilities, the Hamiltonian of the electromagnetic field is determined completely by this quantization method. From Heisenberg's equations we derive Maxwell's equations for the field operators. When the nonlinearity goes to zero, this quantization method returns to the generalized canonical quantization procedure for linear inhomogeneous media [Phys. Rev. A 43, 467 (1991)]. The explicit Hamiltonians for the second-order and third-order nonlinear quasi-steady-state processes are obtained based on this quantization procedure.