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physica status solidi (b)

Nonclassicality of radiation fields propagating in complex material systems

Dmytro Vasylyev, W. Vogel, Günter Manzke, K. Henneberger, D.‐G. Welsch

Published Nov 26, 2008• 5 citations
Publisher

Abstract

Abstract The combination of methods of micro‐ and macroscopic QED alows one to describe the influence of the absorbtion/ amplification and dispersion effects on the nonclassical radiation propagating through complex material systems. Within the framework of macroscopic QED the input‐otput formalism can be applied in order to include the arbitrary quantum state of the radiation field. On the other hand, the microscopic derivation of the emission spectra of a bulk semiconductor gives the physical interpretation of the noise current operators in the macroscopic theory. As an example, we investigate the propagation of the field being in squeezed vacuum state through a 5 μm ZnSe slab in absorbing and amplifying regimes. (© 2009 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

DOI
10.1002/pssb.200880342

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Abstract The combination of methods of micro‐ and macroscopic QED alows one to describe the influence of the absorbtion/ amplification and dispersion effects on the nonclassical radiation propagating through complex material systems. Within the framework of macroscopic QED the input‐otput formalism can be applied in order to include the arbitrary quantum state of the radiation field. On the other hand, the microscopic derivation of the emission spectra of a bulk semiconductor gives the physical interpretation of the noise current operators in the macroscopic theory. As an example, we investigate the propagation of the field being in squeezed vacuum state through a 5 μm ZnSe slab in absorbing and amplifying regimes. (© 2009 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)
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We extend recently developed schemes for field quantization in absorbing dielectric media with local susceptibilities to dielectric systems described by a nonlocal susceptibility, in order to quantize the electromagnetic field in quantum wells embedded in planar semiconductor microcavities. As an application of the formalism, we analyze the effects of the propagation through a semiconductor microcavity on a continuous-mode squeezed coherent state. In particular, we calculate the variance of the field transmitted through the microcavity in the case of strong coupling regime for different detection schemes, as a function of the detuning, the exciton–photon coupling and the exciton homogeneous broadening.
We develop the quantum theory of the propagation of nonclassical radiation in a nearly resonant medium. The medium is taken to have two levels, which are coupled by the radiation field. Heisenberg equations of motion are developed and compared with stochastic equations in a positive P representation. Initial conditions for absorbers and amplifiers are calculated, so that, for example, superfluorescence or self-induced transparency can be treated. The theoretical methods introduced here allow nonclassical statistics of the radiation field to be calculated such as photon antibunching or squeezing. Both radiative and collisional damping are included.