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Generation of Correlated Photon Pairs in a Quantum System with Broken Inversion Symmetry


Oster,  Fernando
Division Prof. Dr. Christoph H. Keitel, MPI for Nuclear Physics, Max Planck Society,;

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Oster, F. (2011). Generation of Correlated Photon Pairs in a Quantum System with Broken Inversion Symmetry. Diploma Thesis, Ruprecht-Karls-Universität, Heidelberg, Germany.

Cite as: http://hdl.handle.net/11858/00-001M-0000-0012-1BE4-E
The aim of our work is to investigate a pumped two-level system with broken inversion symmetry (intrinsic dipole moments of the two levels differ). We choose a semiclassical description for the interaction with the laser and additionally take into account a quantized environment giving rise to effects of spontaneous emission. We further choose a perturbative approach to derive the equations of motion in a master equation approach. An off-resonant laser induces the emission of a THz-photon and the emission of an optical photon, whose quantum intensity-intensity correlation function we calculate. This function gives a measure for the probability of detecting one photon right after the other. Moreover, we observe the violation of a Cauchy-Schwarz inequality that brings us to the conclusion that we are dealing with a non-classical pair of correlated photons, which are important in the emerging field of quantum information science. This theoretical model may, for example, be applied to gamma globulin molecules or quantum dots. In this thesis we perform the numerical calculations with the parameters of gamma globulin molecules.