Holographic dualities are now an established tool in the study of universal properties of strongly coupled field theories. Yet, theories without translational symmetry are still poorly understood in this context. In this dissertation, we investigate three new approaches to this challenging problem. The first part of the dissertation concerns a class of phenomenological holographic models in which momentum relaxation can be achieved without breaking translational symmetry in the dual geometry. In particular, we focus on an example in which the dual geometry is similar to anti-de Sitter (AdS) Brans-Dicke theory. We study the thermodynamic and transport properties of the model and show that for strong momentum relaxation and low temperatures the model has insulator-like behaviour. In the second part, we go beyond the effective description and consider holographic theories which explicitly break translational symmetry. From the perspective of gravity, these theories translate to geometries that vary explicitly in the boundary space-like coordinates. We refer to these geometries as 'inhomogeneous' and investigate two approaches to study them. The first is motivated by the question: "what happens to a homogeneous geometry when coupled with a field varying randomly in space?". Starting from an AdS geometry at zero or finite temperature, we show that a spatially varying random Maxwell potential drives the dual field theory to a non-trivial infra-red fixed point characterised by an emerging scale invariance. Thermodynamic and transport properties of this disordered ground state are also discussed. The second is motivated by the complementary question: "how does a random geometry affect a probe field?". In the weak disorder limit, we show that disorder induces an additional power-law decay in the dual correlation functions. For certain choices of geometry profile, this contribution becomes dominant in the infra-red, indicating the breaking of perturbation theory and the possible existence of a phase transition induced by disorder. The third and last part of this dissertation switches from the gravity to the field theoretical side of the duality. We discuss the Sachdev-Ye-Kitaev (SYK) model, a disordered many-body model with distinctive black hole-like properties. We provide analytical and numerical evidence that these holographic properties are robust against a natural one-body deformation for a finite range of parameters. Outside this interval, this system undergoes a chaotic-integrable transition.

This thesis describes work on a novel 3D imaging system that successfully implements optical feedback and noise rejection mechanisms. The system is a combination of three relatively new technologies, namely, holographic projection, Time of Flight (ToF) ranging and Single Photon Avalanche Diode (SPAD) sensors. Holographic projection is used to provide structured illumination with optical feedback instead of more commonly used uniform illumination in similar imaging systems. It is obtained using a Ferro-electric Liquid Crystal on Silicon Spatial Light Modulator (FLCoS SLM). The structured illumination with optical feedback can be operated at up to 60 Hz with the current device, and has been shown to provide an average gain of about 1.56 in useful light levels. Alternatively, a gain over a limited area of up to a factor of 9 is possible with the current system. Time of Flight ranging is a method of choice for the system when depth estimation is concerned. It works even at very low light levels and allows for sub-centimetre depth resolution. ToF method was implemented using 20 MHz laser diode with 50 ps pulse duration and 200 mW peak power, as well as a SPAD sensor. The SPAD sensor consisted of a 32 32 array of 50 μm pixels, each with 10 bit Time to Digital Converter (TDC) with 50 ps timing resolution. Sensor pixels feature 100 Hz mean Dark Count Rate (DCR). The use of SPAD sensors with an adaptive sensing algorithm presented in this work has been demonstrated to reduce effective noise levels as seen by the sensor by a factor of 16. As a result, a significant gain in depth resolution can be achieved. The quantification of this gain is explained in more detail within this work. Furthermore, the work describes in detail system design, methodology of experimental procedure as well as different algorithms essential to the correct operation of the system. Significant amount of time is dedicated to diffraction pattern generation for the use in holographic projection, as well as modelling of photon detection in SPAD sensors and associated peak detection necessary to extract depth information from histograms of timed of photons. Moreover, the thesis discusses potential applications for the system based on the results of system characterisation presented in this work. The current state of the system suggests best suitability for gaming and machine vision applications. Finally, the work offers potential solutions to the practical issues that remain unresolved in the current system, alternatives for components used and paths for potential future development of the system proposed.

In this work, we describe our recent efforts aimed at determining the mechanism of signal change for a diffraction-based sensor (DBS) system. The DBS detects analyte-binding events by monitoring the change in diffraction efficiency that takes place when analyte molecules adsorb to target molecules that have been patterned onto a surface. The exact parameters that affect the intensity of the diffraction intensity are currently not well understood.<p>In this work, the formalism used to describe the behaviour of volume-phase holography is used to understand the parameters that effect the diffraction intensity. It is hypothesized that the major factors that effect the diffraction intensity are the differences in optical path length between the wave trains that reflect off the diffraction grating and those that reffect off the substrate surface. Also key is the difference in refractive index between the two media. Two approaches were developed to investigate this hypothesis; the first was to develop a series of gratings of varying thickness using polyelectrolyte multilayers. The indices of refraction of these gratings were adjusted by the incorporation of charged gold nanoparticles. Since DBS systems operate by monitoring the binding of analyte molecules, a second series of experiments were developed to investigate the changes in diffraction intensity as micometer sized carboxylated beads were loaded onto an avidin grating. The first aspect that was investigated was the effect of adding more particles onto the grating surface on diffraction intensity. Second, the extent to which the particles reduced the periodicity of the diffraction grating, and the effect on the observed intensity of the diffraction signal were also investigated. Finally, this work shows the first use of a DBS system to extract the rate of and the maximum surface coverage of a specific binding reaction.

In this work, we describe our recent efforts aimed at determining the mechanism of signal change for a diffraction-based sensor (DBS) system. The DBS detects analyte-binding events by monitoring the change in diffraction efficiency that takes place when analyte molecules adsorb to target molecules that have been patterned onto a surface. The exact parameters that affect the intensity of the diffraction intensity are currently not well understood.<p>In this work, the formalism used to describe the behaviour of volume-phase holography is used to understand the parameters that effect the diffraction intensity. It is hypothesized that the major factors that effect the diffraction intensity are the differences in optical path length between the wave trains that reflect off the diffraction grating and those that reffect off the substrate surface. Also key is the difference in refractive index between the two media. Two approaches were developed to investigate this hypothesis; the first was to develop a series of gratings of varying thickness using polyelectrolyte multilayers. The indices of refraction of these gratings were adjusted by the incorporation of charged gold nanoparticles. Since DBS systems operate by monitoring the binding of analyte molecules, a second series of experiments were developed to investigate the changes in diffraction intensity as micometer sized carboxylated beads were loaded onto an avidin grating. The first aspect that was investigated was the effect of adding more particles onto the grating surface on diffraction intensity. Second, the extent to which the particles reduced the periodicity of the diffraction grating, and the effect on the observed intensity of the diffraction signal were also investigated. Finally, this work shows the first use of a DBS system to extract the rate of and the maximum surface coverage of a specific binding reaction.

A novel holographic model of chiral symmetry breaking has been proposed by Kuperstein and Sonnenschein by embedding non-supersymmetric probe D7 and anti-D7 branes in the Klebanov-Witten background. We study the dynamics of the probe flavours in this model in the presence of finite temperature and a constant electromagnetic field. In keeping with the weakly coupled field theory intuition, we find the magnetic field promotes spontaneous breaking of chiral symmetry whereas the electric field restores it. The former effect is universally known as the ``magnetic catalysis" in chiral symmetry breaking. In the presence of an electric field such a condensation is inhibited and a current flows. Thus we are faced with a steady-state situation rather than a system in equilibrium. We conjecture a definition of thermodynamic free energy for this steady-state phase and using this proposal we study the detailed phase structure when both electric and magnetic fields are present in two representative configurations: mutually perpendicular and parallel. / text

published_or_final_version / Electrical and Electronic Engineering / Doctoral / Doctor of Philosophy

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published_or_final_version / Physics / Master / Master of Philosophy

No description available.

No description available.