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Title: Control and detection of quantum correlations in mesoscopic systems
Author: Rogers, Benjamin Paul
ISNI:       0000 0004 5368 5576
Awarding Body: Queen's University Belfast
Current Institution: Queen's University Belfast
Date of Award: 2015
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The control and detection of quantum correlations in three distinct mesoscopic systems is discussed. The entanglement dynamics between the momentum modes of an intracavity BEC and the motional modes of a mechanical end-mirror is studied. Although the interaction between these mesoscopic systems is indirect and mediated by a cavity field, mirror-atom entanglement is found to arise early on in the dynamics. Optimal control techniques are applied to modulate the driving laser such that mirror-atom entanglement is generated over longer timescales. In the following chapters, a versatile framework of characterising multipartite entanglement with entanglement witnesses in rotationally invariant states is derived. Together with the twirling map, this framework can be applied to arbitrary spin systems and is demonstrated for the XXZ spin-1/2 model, where long-range multipartite entanglement is shown to be present close to a critical point and indicates breaking of the symmetries associated with the phase transition of the model. The final chapters detail how the quantum polarisation spectroscopy measurement scheme, applied to a system of trapped bosons in an optical lattice, can be used to characterise the phase transitions of the Bose-Hubbard model and the extended Bose-Hubbard model by analysing atomic collective correlations. This all-optical non-demolition measurement scheme is additionally applied to detect and characterise the ground states of atoms trapped by a superlattice potential, formed by counter-propagating beams.
Supervisor: Not available Sponsor: Not available
Qualification Name: Thesis (Ph.D.) Qualification Level: Doctoral
EThOS ID:  DOI: Not available