Which-path problem for one and two particles with two degrees of freedom and a relation between transverse spatial structure and group velocity of light

Quantum mechanics, optics and indeed any wave theory exhibits the phenomenon of interference. In this thesis we present two problems investigating interference due to indistinguishable alternatives and a mostly unrelated investigation into the free space propagation speed of light pulses in particular spatial modes. In chapter 1 we introduce the basic properties of the electromagnetic field needed for the subsequent chapters. In chapter 2 we review the properties of interference using the beam splitter and the Mach-Zehnder interferometer. In particular we review what happens when one of the paths of the interferometer is marked in some way so that the particle having traversed it contains information as to which path it went down (to be followed up in chapter 3) and we review Hong-Ou-Mandel interference at a beam splitter (to be followed up in chapter 5). In chapter 3 we present the first of the interference problems. This consists of a nested Mach-Zehnder interferometer in which each of the free space propagation segments are weakly marked by mirrors vibrating at different frequencies [1]. The original experiment drew the conclusions that the photons followed disconnected paths. We partition the description of the light in the interferometer according to the number of paths it contains which-way information about and reinterpret the results reported in [1] in terms of the interference of paths spatially connected from source to detector. In chapter 4 we briefly review optical angular momentum, entanglement and spontaneous parametric down conversion. These concepts feed into chapter 5 in which we present the second of the interference problems namely Hong-Ou-Mandel interference with particles possessing two degrees of freedom. We analyse the problem in terms of exchange symmetry for both boson and fermion pairs and show that the particle statistics at a beam splitter can be controlled for suitably chosen states. We propose an experimental test of these ideas using orbital angular momentum entangled photons. In chapter 6 we look at the effect that the transverse spatial structure of the mode that a pulse of light is excited in has on its group velocity. We show that the resulting group velocity is slower than the speed of light in vacuum for plane waves and that this reduction in the group velocity is related to the spread in the wave vectors required to create the transverse spatial structure. We present experimental results of the measurement of this slowing down using Hong-Ou-Mandel interference.

Towards a Bourdieusian analysis of the disabled body and practice: embodying negative symbolic capitals and the uneasy experience of hysteresis

Within the last few years, disabled people have become the target of government austerity measures through drastic cuts to welfare justified through the portrayal of benefit claimants as inactive, problem citizens who are wilfully unemployed. For all that is wrong with these cuts, they are one of many aspects of exclusion that disabled people face. Attitudes towards disability are deteriorating (Scope, 2011) and disabled people are devalued and negatively positioned in a myriad of ways, meaning that an understanding of the perceptions and positioning of disability and the power of disabling practices is critical. This thesis will examine how Bourdieu’s theoretical repertoire may be applied to the area of Disability Studies in order to discern how society produces oppressive and exclusionary systems of classification which structures the social position and perceptions of disability. The composite nature of disability and multiple forms of exclusion and inequality associated with it benefits from a multipronged approach which acknowledges personal, embodied and psychological aspects of disability alongside socio-political and cultural conceptualisations. Bourdieu’s approach is one in which the micro and macro aspects of social life are brought together through their meso interplay and provides a thorough analysis of the many aspects of disability.