Extended Bose-Hubbard model with incompressible states at fractional numbers

The Bose-Hubbard model is extended to include nearest and far neighbor interactions and is related to the fractional quantum Hall effect (FQHE). Both models may be studied in optical lattices with quantum gases. The ground state is calculated for the extended Bose-Hubbard model with strong repulsive interactions (weak hopping). Incompressible Mott insulator states are found at rational filling fractions compatible with the principal and secondary FQHE filling fractions of the lowest Landau levels observed experimentally. It is discussed to which extent these states at fractional filling survive or undergoes a Mott insulator transition to a superfluid as hopping terms are included.Comment: Revised version, to appear in PR

Gas of self-avoiding loops on the brickwork lattice

An exact calculation of the phase diagram for a loop gas model on the brickwork lattice is presented. The model includes a bending energy. In the dense limit, where all the lattice sites are occupied, a phase transition occuring at an asymmetric Lifshitz tricritical point is observed as the temperature associated with the bending energy is varied. Various critical exponents are calculated. At lower densities, two lines of transitions (in the Ising universality class) are observed, terminated by a tricritical point, where there is a change in the modulation of the correlation function. To each tricritical point an associated disorder line is found.Comment: 19 pages, 6 figures. to appear in J. Phys. A : Math. & Ge

Effective Field Theory of the Zero-Temperature Triangular-Lattice Antiferromagnet: A Monte Carlo Study

Using a Monte Carlo coarse-graining technique introduced by Binder et al., we have explicitly constructed the continuum field theory for the zero-temperature triangular Ising antiferromagnet. We verify the conjecture that this is a gaussian theory of the height variable in the interface representation of the spin model. We also measure the height-height correlation function and deduce the stiffness constant. In addition, we investigate the nature of defect-defect interactions at finite temperatures, and find that the two-dimensional Coulomb gas scenario applies at low temperatures.Comment: 26 pages, 9 figure

Multichannel oscillations and relations between LSND, KARMEN and MiniBooNE, with and without CP violation

We show by examples that multichannel mixing can affect both the parameters extracted from neutrino oscillation experiments, and that more general conclusions derived by fitting the experimental data under the assumption that only two channels are involved in the mixing. Implications for MiniBooNE are noted and an example based on maximal CP violation displays profound implications for the two data sets (muon-neutrino and muon-antineutrino) of that experiment.Comment: 5 pages 4 figure

Damage spreading in two dimensional geometrically frustrated lattices: the triangular and kagome anistropic Heisenberg model

The technique of damage spreading is used to study the phase diagram of the easy axis anisotropic Heisenberg antiferromagnet on two geometrically frustrated lattices. The triangular and kagome systems are built up from triangular units that either share edges or corners respectively. The triangular lattice undergoes two sequential Kosterlitz-Thouless transitions while the kagome lattice undergoes a glassy transition. In both cases, the phase boundaries obtained using damage spreading are in good agreement with those obtained from equilibrium Monte Carlo simulations.Comment: 7 pages, 4 figure

Factors that contribute to the process of reporting concussion symptoms experienced by Canadian Football League players

Background: Concussions continue to be at the forefront of research today and are still an ongoing problem for athletes across sporting domains. Further investigation is warranted to achieve a greater understanding of concussions. Purpose: The purpose of this dissertation was to explore research related to sports-related concussions, how concussions affect athletes and those surrounding the athletes at all levels of sport, with a particular focus on Canadian Football League players and the underreporting of concussions. This dissertation also reviews qualitative research methodologies, and how they are applied within concussion research. Research Questions: a) What is my own personal relationship with concussions? In particular, what was my experience with the culture of the CFL while I was playing professional football, and later, during my transition out of professional football? b) What is the extent, range, and nature of the peer-reviewed qualitative research literature on concussions in sport? c) What factors contribute to the process of reporting concussion symptoms in Canadian Football League players? Methodology: I utilized an autoethnography to for the first question, a scoping review to address the second question, and a constructivist grounded theory study (in a sample of ten current and retired CFL players) to approach the third question. Findings: Within the autoethnography presented herein, several factors were identified as influencing the way I interpreted my experiences throughout my playing career, and my subsequent transition from professional sport. The scoping review of qualitative research in sport-related concussion suggested that qualitative research is useful for exploring all levels and types of sports. It further suggested that qualitative methodologies provide researchers with a lens that can be used to view the athletes going through the concussions, and also the other people in their lives such as physicians, parents, coaches, care-takers, teammates and equipment personnel. Different methodologies highlighted several different areas such as barriers to reporting concussions, lived experiences, media portrayal of concussions, coping strategies and effected relationships. Finally, the empirical data collected within the grounded theory study that formed the primary study within this dissertation suggested several factors that influenced the underreporting of concussions in the CFL, within three contexts: a) premeditated thoughts during the pre-game b) assessing the hit on the field and c) during the recovery process of a concussion. Implications: Findings show the current state of concussion research and highlights several factors that influence professionals to underreport their concussions. Implications for future research are discussed

Vortex-induced topological transition of the bilinear-biquadratic Heisenberg antiferromagnet on the triangular lattice

The ordering of the classical Heisenberg antiferromagnet on the triangular lattice with the the bilinear-biquadratic interaction is studied by Monte Carlo simulations. It is shown that the model exhibits a topological phase transition at a finite-temperature driven by topologically stable vortices, while the spin correlation length remains finite even at and below the transition point. The relevant vortices could be of three different types, depending on the value of the biquadratic coupling. Implications to recent experiments on the triangular antiferromagnet NiGa$_2$S$_4$ is discussed

Sound Diffraction Modeling of Rotorcraft Noise Around Terrain

A new computational technique, Wave Confinement (WC), is extended here to account for sound diffraction around arbitrary terrain. While diffraction around elementary scattering objects, such as a knife edge, single slit, disc, sphere, etc. has been studied for several decades, realistic environments still pose significant problems. This new technique is first validated against Sommerfeld's classical problem of diffraction due to a knife edge. This is followed by comparisons with diffraction over three-dimensional smooth obstacles, such as a disc and Gaussian hill. Finally, comparisons with flight test acoustics data measured behind a hill are also shown. Comparison between experiment and Wave Confinement prediction demonstrates that a Poisson spot occurred behind the isolated hill, resulting in significantly increased sound intensity near the center of the shadowed region

Monte Carlo Study of the Anisotropic Heisenberg Antiferromagnet on the Triangular Lattice

We report a Monte Carlo study of the classical antiferromagnetic Heisenberg model with easy axis anisotropy on the triangular lattice. Both the free energy cost for long wavelength spin waves as well as for the formation of free vortices are obtained from the spin stiffness and vorticity modulus respectively. Evidence for two distinct Kosterlitz-Thouless types of defect-mediated phase transitions at finite temperatures is presented.Comment: 8 pages, 10 figure