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Contribution to Entanglement Theory, Applications in Atomic Systems and Cavity QED Gillet, Jérémie Doctoral thesis (2011) We introduce in this thesis two entanglement detection criteria, the Schrödinger-Robertson partial transpose inequality, which can be implemented experimentally in a variety of systems and generalized N ... [more ▼] We introduce in this thesis two entanglement detection criteria, the Schrödinger-Robertson partial transpose inequality, which can be implemented experimentally in a variety of systems and generalized N-qubit concurrences, which can be used to evaluate multipartite entanglement in N-qubit mixed states. Then, we investigate ways to experimentally produce entanglement by giving a theoretical model which successfully describes the dipole blockade effect. We study its possible applications in systems of two and three two-level atoms as well as its relations with the EITeffect in systems of two three-level atoms. Finally, we show the possibility of two-photon processes in a system of two two-level atoms embedded in a cavity by using perturbation theory and a full master equation approach. We unveil interesting features of blockade and transparency in such cavity QED systems. [less ▲] Detailed reference viewed: 73 (18 ULg)Tunable entanglement, antibunching, and saturation effects in dipole blockade Gillet, Jérémie ; ; Bastin, Thierry in Physical Review. A (2010), 81 We report a model that makes it possible to analyze quantitatively the dipole blockade effect on the dynamical evolution of a two two-level atom system driven by an external laser field. The multiple ... [more ▼] We report a model that makes it possible to analyze quantitatively the dipole blockade effect on the dynamical evolution of a two two-level atom system driven by an external laser field. The multiple excitations of the atomic sample are taken into account. We find very large concurrence in the dipole blockade regime. We further find that entanglement can be tuned by changing the intensity of the exciting laser. We also report a way to lift the dipole blockade paving the way to manipulate in a controllable way the blockade effects. We finally report how a continuous monitoring of the dipole blockade would be possible using photon-photon correlations of the scattered light in a regime where the spontaneous emission would dominate dissipation in the sample. [less ▲] Detailed reference viewed: 38 (14 ULg)Tunable entanglement, antibunching and saturation effects in dipole blockade Gillet, Jérémie ; ; Bastin, Thierry Poster (2010) Detailed reference viewed: 24 (10 ULg)Quantum Entanglement Antibunching and Saturation of Atoms in Dipole Blockade Gillet, Jérémie ; ; Bastin, Thierry Conference (2009) Detailed reference viewed: 9 (2 ULg)Multipartite entanglement criterion from uncertainty relations Gillet, Jérémie ; Bastin, Thierry ; Poster (2009) Detailed reference viewed: 9 (3 ULg)Multipartite entanglement criterion from uncertainty relations Gillet, Jérémie ; Bastin, Thierry ; in Physical Review. A (2008), 78 We formulate an entanglement criterion using Peres-Horodecki positive partial transpose operations combined with the Schrödinger-Robertson uncertainty relation. We show that any pure entangled bipartite ... [more ▼] We formulate an entanglement criterion using Peres-Horodecki positive partial transpose operations combined with the Schrödinger-Robertson uncertainty relation. We show that any pure entangled bipartite and tripartite state can be detected by experimentally measuring mean values and variances of specific observables. Those observables must satisfy a specific condition in order to be used, and we show their general form in the 2 x 2 (two qubits) dimension case. The criterion is applied on a variety of physical systems including bipartite and multipartite mixed states and reveals itself to be stronger than the Bell inequalities and other criteria. The criterion also work on continuous variable cat states and angular momentum states of the radiation field. [less ▲] Detailed reference viewed: 54 (13 ULg) |
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