Electromagnetic field quantization in a linear polarizable and magnetizable medium

Details Electromagnetic field quantization in a linear polarizable and magnetizable medium Electromagnetic field quantization in a linear polarizable and magnetizable medium

2005-07-19

arxiv.org/abs/quant-ph/0507180v2

Phys. Rev A, 74, 042102 (2006)

Physics

Quantum Physics

23 pages, Accepted for publication in Phy.Rev A

Scientific paper

10.1103/PhysRevA.74.042102

By modeling a linear polarizable and magnetizable medium (magneto-dielectric) with two quantum fields, namely E and M, electromagnetic field is quantized in such a medium consistently and systematically. A Hamiltonian is proposed from which, using the Heisenberg equations, Maxwell and constitutive equations of the medium are obtained. For a homogeneous medium, the equation of motion of the quantum vector potential, $\vec{A}$, is derived and solved analytically. Two coupling functions which describe the electromagnetic properties of the medium are introduced. Four examples are considered showing the features and the applicability of the model to both absorptive and nonabsorptive magneto-dielectrics.

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