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Please use this identifier to cite or link to this item: http://hdl.handle.net/10277/180

Authors: Patera, Giuseppe
Internal Tutor: LUGIATO, LUIGI
Tutor: FABRE, CLAUDE
Title: Quantum properties of ultra-short pulses generated by SPOPOs: multi-mode squeezing and entanglement.
Abstract: This Thesis studies, from a theoretical point of view, the dynamical and quantum properties of a type I degenerate optical parametric oscillator which is synchronously pumped by a mode- locked laser (SPOPO). In recent past, SPOPOs have been used for generating ultra-short optical pulses of tunable wavelength and their temporal properties have been investigated. Having a huge number of degrees of freedom, the output _eld of a SPOPO needs to be characterized via a multimodal quantum analysis. Then, we _rst develop a multimode model of the device, obtaining the quantum equations for the intra-cavity _eld operators. Afterwards, we study the steady state solutions of the average values of the generated _elds that are the solutions of an eigenvalue equation. Its spectrum gives information about the \useful" number of modes in which are concentrated almost all the dynamical and quantum properties of the intra-cavity _eld and which we call \super-modes". Indeed, we show that not only the super-mode of minimum threshold is (ideally) perfectly squeezed at threshold, but that all the other super-modes have an important non-classical character provided that their thresholds are close enough to the minimum one. This circumstance gives the clear image that a SPOPO is a highly quantum multi-mode system. Finally, the last part of this Thesis is focused on the study of the output of a SPOPO from the point of view of the generation of highly multi-mode entangled states and their optimization by means of speci_c experimental con_gurations.
Keywords: optical parametric oscillator, frequency combs, ultra-short pulses, continuous variables, squeezing, entanglement, multi-mode.
Subject MIUR : MAT/07 FISICA MATEMATICA
Issue Date: 2008
Doctoral course: Astronomia e Astrofisica
Publisher: Università degli Studi dell'Insubria
Research center: Laboratoire Kastler Brossel
Other university: Universitè Paris 6 - Pierre et Marie Curie
Citation: Patera, G.Quantum properties of ultra-short pulses generated by SPOPOs: multi-mode squeezing and entanglement. (Doctoral Thesis, Università degli Studi dell'Insubria, 2008).

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