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In this thesis the entanglement properties of atom-atom, atom-photon, and photon-photon are investigated. The recent developments of quantum computation as well as quantum information and communication have attracted much interest in the generation of these entanglements in the laboratory. To generate atom-photon entanglement, I discuss a model system in the cavity QED setup. By using a four-level atom and two resonant cavity modes, we can generate atom-photon entanglement almost deterministically. An extension of the above model to a six-level atom and again two resonant cavity modes can generate entangled photon pairs by appropriately adjusting system parameters. I then investigate the atom-atom entanglement in a 1D harmonic trap. I show the dependence of the pair entanglement on the scattering length and temperature, as well as the particle symmetry requirement (bosons or fermions). Among many peculiar properties in a 1D system, we briefly discuss the Fermi-Bose duality". While the entanglement properties of a single-channel model have recently been obtained for 1D and 3D systems, I thus study the entanglement of a multi-channel process in a cylindrical harmonic trap. I discuss the dependence of entanglement on the trap geometry. Finally I present detailed studies of the spin mixing between two Rb87 atoms in a single lattice site. The topic is emphasized on various motional state approximations and dipolar effect. Various motional state approximations can cause up to 20% error to experimental data. I also find that the dipolar interaction can lead to an experimentally observable frequency shift in a cylindrical harmonic trap with very large aspect ratio. The spin mixing of spin-2 manifold has also been discussed.

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For classical and intensity modulated radiation therapy of deep-seated tumors, high-energy photons are the optimal radiation modality from an integral dose point of view. By using narrow scanned beams the treatment outcome can be improved substantially by delivering biologically optimized intensity modulated distributions often with sharp dose gradients. This requires using photons with energies well above 15 MV enabling verification of the treatment delivery in vivo by PET/CT imaging in a manner not previously possible. This new technique is based on the production of positron emitting radionuclides when the incoming high-energy photons interact through photonuclear reactions with the body tissues. The produced radionuclides, commonly 11C, 15O and 13N can then be monitored by PET and the distribution of activated nuclei show exactly where the radiation has penetrated the patient. In the subcutaneous fat, present in all humans, a high induced activity produces a perfect visualization of the location and even the intensity modulation of the incident beams. The reason for this is the high carbon content in combination with a low biological perfusion in fat tissues. Errors in the patient positioning such as setup errors or misplacement of the beams will thus show up in the PET images as a deviation from the actual radiation treatment plan. Interestingly, the imaged activity distribution from the subcutaneous fat also visualizes how the dose delivery can be deformed when the patient is erroneously positioned on the treatment couch as seen on the cover figure. Furthermore, the different half-lives of the produced radionuclides (20 min, 2 min, and 10 min, for 11C, 15O and 13N, respectively) allows for analysis of the dynamic behavior of tissue activity with the possibility of retrieving information such as tissue composition, biological and physical half-lives. The present thesis shows that considerable clinical information regarding the treatment delivery with high-energy photon beams can be obtained using PET/CT imaging. Although the study is based on the use of 50 MV photons the method may apply for beams with energies &gt; 20 MV at higher doses. / <p>At the time of the doctoral defense, the following papers were unpublished and had a status as follows: Paper 2: Submitted. Paper 3: Submitted. Paper: Manuscript.</p>

The research presented in this dissertation investigated selected processes that involve baryons and nuclei in hard scattering reactions. These processes are characterized by the production of particles with large energies and transverse momenta. Through these processes, this work explored both, the constituent (quark) structure of baryons (specifically nucleons and ∆-Isobars), and the mechanisms through which the interactions between these constituents ultimately control the selected reactions. The first of such reactions is the hard nucleon-nucleon elastic scattering, which was studied here considering the quark exchange between the nucleons to be the dominant mechanism of interaction in the constituent picture. In particular, it was found that an angular asymmetry exhibited by proton-neutron elastic scattering data is explained within this framework if a quark-diquark picture dominates the nucleon’s structure instead of a more traditional SU(6) three quarks representation. The latter yields an asymmetry around 90o center of mass scattering with a sign opposite to what is experimentally observed. The second process is the hard breakup by a photon of a nucleon-nucleon system in light nuclei. Proton-proton (pp) and proton-neutron (pn) breakup in 3He, and ∆∆-isobars production in deuteron breakup were analyzed in the hard rescattering model (HRM), which in conjunction with the quark interchange mechanism provides a QCD description of the reaction. Through the HRM, cross sections for both channels in 3He photodisintegration were computed without the need of a fitting parameter. The results presented here for pp breakup show excellent agreement with recent experimental data. In ∆∆-isobars production in deuteron breakup, the HRM angular distributions for the two ∆∆ channels were compared to the pn channel and to each other. An important prediction from this study is that the ∆++∆- channel consistently dominates ∆+∆0, which is in contrast with models that unlike the HRM consider a ∆∆ system in the initial state of the interaction. For such models both channels should have the same strength. These results are important in developing a QCD description of the atomic nucleus.

The intense electromagnetic fields surrounding highly charged, ultra-relativistic ions at the LHC provide an intense flux of quasi-real photons. This high-energy photon flux provides a precise probe of the structure of the nucleus in photonuclear interactions and a tool to precisely study the properties of photoproduction in two-photon interactions. This thesis presents recent results from studies of photoproduction processes in √𝒔_𝐍𝐍 = 5.02 TeV Pb+Pb collisions at the LHC, using data collected in 2015 and 2018. A measurement of the differential cross-section for photonuclear jet production is performed with an integrated luminosity of 1.72 nb⁻¹. This measurement is triple-differential in two different sets of kinematic variables ([𝐻_𝐓, 𝒙_𝐀, 𝒛_𝛾] and [𝐻_𝐓, 𝒚_jets, 𝒎_jets) which allow for a direct measurement of the kinematics of struck partons in the nuclear target, and it is fully unfolded in three dimensions. After performing detailed studies of the rate for nuclear breakup in these collisions, the photonuclear jet cross-sections agree with leading-order predictions at the level of 10%. The uncertainty on this measurement and full treatment of its correlated uncertainties will allow for it to significantly constrain the nuclear parton distributions over a wide region of parton kinematics. A measurement was also performed of dimuon production via two-photon fusion in Pb+Pb collisions with nuclear overlap. This measurement studied the relative deflection of muons in each pair, and its results indicated that these distributions are substantially modified as a function of collision centrality. This modification is mostly well-described by initial-state models, which improve the modelling of the photon flux by incorporating correlations between the collision impact parameter and photon 𝒑_𝐓. Additional studies were performed to constrain the potential impact of any deflections due to the presence of strong magnetic fields in the hot, dense medium produced in heavy ion collisions.

No description available.