June 2011
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Day June 28, 2011

Many-Body Effects in a Model of Electromagnetically Induced Transparency

Jose Reslen

We study the effect of inter-band interactions in the absorption profile of a semi-classical model describing electromagnetically induced transparency. We develop a consistent approach using a nonhermitian Hamiltonian to model particle decay. This allow us to characterize the system response for different number of particles so that the effect of particle-interaction on the transmission profile can be studied over a wide range of characteristic parameters.

Quantum Physics (quant-ph)

Non-Hermitian oscillator Hamiltonians and multiple Charlier polynomials

Hiroshi Miki, Luc Vinet, Alexei Zhedanov

A set of \(r\) non-Hermitian oscillator Hamiltonians in \(r\) dimensions is shown to be simultaneously diagonalizable. Their spectra is real and the common eigenstates are expressed in terms of multiple Charlier polynomials. An algebraic interpretation of these polynomials is thus achieved and the model is used to derive some of their properties.

Mathematical Physics (math-ph)