Quasiparticles in Quantum Many-Body Systems

Topologically ordered phases flamboyance a cornucopia of intriguing phenomena that cannot be perceived in the conventional phases including the most striking property of hosting anyon quasiparticles having fractional charges and fractional statistics. Such phases were discovered with the remarkable experiment of the fractional quantum Hall effect and are drawing a lot of recognition. Realization of these phases on lattice systems and study of the anyon quasiparticles there are important and interesting avenue to research in unraveling new physics, which can not be found in the continuum, and this thesis is an important contribution in that direction. Also such lattice models hosting anyons are particularly important to control the movement of anyons while experimentally implemented with ultra-cold atoms in optical lattices. We construct lattice models by implementing analytical states and parent Hamiltonians on two-dimensional plane hosting non-Abelian anyons, which are proposed candidates for quantum computations. Such lattice models are suitable to create both quasiholes and quasielectrons in the similar way and thereby avoiding the singularity problem for the quasielectrons in continuum. Anyons in these models are found to be well-screened with proper charges and right statistics. Going beyond two dimensions, we unravel the intriguing physics of topologically ordered phases of matter in fractional dimensions such as in the fractal lattices by employing our model constructions of analytical states and parent Hamiltonians there. We find the anyons to be well-screened with right charges and statistics for all dimensions. Our work takes the first step in bridging the gap between two dimensions and one dimension in addressing topological phases which reveal new physics. Our constructions are particularly important in this context since such lattices lack translational symmetry and hence become unsuitable for the fractional Chern insulator implementations. The special features of topologically ordered phases make these difficult to probe and hence the detection of topological quantum phase transitions becomes challenging. The existing probes suffer from shortcomings uo-to a large extent and therefore construction of new type of probes become important and are on high demand. The robustness of anyon properties draw our attention to propose these as detector of topological quantum phase transitions with significant advantages including the facts that these are numerically cheaper probes and are independent of the boundary conditions. We test our probe in three different examples and find that simple properties like anyon charges detect the transitions.Topologisch geordnete Phasen extravagieren ein Füllhorn faszinierender Phänomene, die in den herkömmlichen Phasen nicht wahrgenommen werden können, einschließlich der auffälligsten Eigenschaft, Quasiteilchen mit fraktionierten Ladungen und fraktion- ierten Statistiken aufzunehmen. Solche Phasen wurden mit dem bemerkenswerten Exper- iment des fraktionierten Quanten-Hall-Effekts entdeckt und finden viel Anerkennung. Die Realisierung dieser Phasen auf Gittersystemen und die Untersuchung der Anyon- Quasiteilchen sind wichtige und interessante Wege zur Erforschung der Entschlüsselung neuer Physik, die im Kontinuum nicht zu finden sind, und diese These ist ein wichtiger Beitrag in diese Richtung. Auch solche Gittermodelle, die Anyons enthalten, sind beson- ders wichtig, um die Bewegung von Anyons zu steuern, während sie experimentell mit ultrakalten Atomen in optischen Gittern implementiert werden. Wir konstruieren Gittermodelle, indem wir analytische Zustände und Eltern-Hamiltonianer auf einer zwei- dimensionalen Ebene implementieren, die nicht-abelsche Anyons enthält, die als Kan- didaten für Quantenberechnungen vorgeschlagen werden. Solche Gittermodelle sind geeignet, sowohl Quasi-Löcher als auch Quasielektronen auf ähnliche Weise zu erzeu- gen und dadurch das Singularitätsproblem für die Quasielektronen im Kontinuum zu vermeiden. Jeder in diesen Modellen wird mit angemessenen Gebühren und richtigen Statistiken gut überprüft. Über zwei Dimensionen hinaus enträtseln wir die faszinierende Physik topologisch geordneter Phasen der Materie in fraktionierten Dimensionen wie in den fraktalen Gittern, indem wir dort unsere Modellkonstruktionen von analytischen Zuständen und Eltern-Hamiltonianern verwenden. Wir finden, dass die Anyons mit den richtigen Gebühren und Statistiken für alle Dimensionen gut überprüft werden. Unsere Arbeit macht den ersten Schritt, um die Lücke zwischen zwei Dimensionen und einer Dimension zu schließen und topologische Phasen anzugehen, die neue Physik enthüllen. Unsere Konstruktionen sind in diesem Zusammenhang besonders wichtig, da solche Gitter keine Translationssymmetrie aufweisen und daher für die fraktionierten Chern- Isolatorimplementierungen ungeeignet werden. Die besonderen Merkmale topologisch geordneter Phasen machen es schwierig, diese zu untersuchen, und daher wird die Detek- tion topologischer Quantenphasenübergänge schwierig. Die vorhandenen Sonden leiden in hohem Maße unter Mängeln, weshalb die Konstruktion neuer Sondenarten wichtig wird und eine hohe Nachfrage besteht. Die Robustheit der Anyon-Eigenschaften lenkt unsere Aufmerksamkeit darauf, diese als Detektor für topologische Quantenphasenübergänge mit signifikanten Vorteilen vorzuschlagen, einschließlich der Tatsache, dass dies numerisch billigere Sonden sind und von den Randbedingungen unabhängig sind. Wir testen unsere Sonde in drei verschiedenen Beispielen und stellen fest, dass einfache Eigenschaften wie Ladungen die Übergänge erfassen

Mad Boys

This cyberpunk road novel anticipates reality-based television—with dire consequences. It\u27s Huck Finn and On the Road rolled into one

Doctor of Philosophy

dissertationIn my dissertation, By Now It Should Sound Like Music, I explore connections between inheritance and writing, and how we experience different kinds of inheritance in our bodies, families, and spiritual lives. Although my primary genre for this project is the essay, many of these pieces have a story to tell. My look at inheritance is as personal as my immediate family, especially my father's adoption, and the turbulence following my grandmother's spiral into Alzheimer's. But I also follow stories and figures far outside of my own experience, such as composer Olivier Messiaen and Mother Teresa. The self is unpredictable, exciting quarry to track. And the self, by itself, is rarely enough. I investigate my Evangelical upbringing, especially the stories, songs, and cultural products like the sinner's prayer and the altar call that were part of my early spiritual formation and embedded in family relationships. In part two of the manuscript, I reach beyond the Evangelical culture of my youth to Catholic and Orthodox expressions of Christianity. In search of wisdom, transcendence, or healing, I look to spiritual places like the rocks of southern Utah, the painted monasteries of Romania, and the dehydrated carnival of Burning Man. By Now It Should Sound Like Music includes many different types of writing, from the protein scripts of our DNA to the lakes and canyons inscribed by glaciers. In these essays, the material shape and heft of words as objects, and not just meanings, are items for study in their own right. Music is one of the most important kinds of "writing" in the collection. Musical notation aims at precision but, like writing, allows room for interpretation in the birdseye of a fermata, or the suggestiveness of a metaphor. Music's other side, silence, is the backdrop of this project. Many of the essays are a reaction to silence: a silence imposed because of illness, death, physical distance, or a severed relationship. A priest I like once explained that the Bible is not the revelation but is a record of the revelation. This manuscript is no Bible, but these essays record. They function like afterimages of things seen and unseen. They function like echoes

Annual Report of the Board of Regents of the Smithsonian Institution, showing the operations, expenditures, and condition of the Institution for the year ending June 30, 1891

Annual Report of the Smithsonian Institution. [3002] Research concerned with the American Indian

Annual Report of the Board of Regents of the Smithsonian Institution, showing the operations, expenditures, and condition of the Institution for the year ending June 30, 1891

Annual Report of the Smithsonian Institution. [3002] Research concerned with the American Indian

Employment of an Informal Educational Mathematical Facility to Lower Math Anxiety and Improve Teacher and Student Attitudes Towards Understanding Mathematics

Students do not pursue careers in science, technology, engineering, or mathematics (STEM) because of a lack of ability, but rather a lack of positive experiences with mathematics. Research has concluded that attitudes in math directly influence success in mathematics. As many as 75% of high school graduates in the United States suffer from mild to severe forms of math anxiety. The improvement of student achievement in mathematics in the United States lags behind that of many other nations in the world. Efforts to improve student achievement in mathematics have focused on developing effective teachers and teaching practices, creating state and national standards, and raising test scores. Advances in neuroscience and understanding how the brain learns mathematics are often not reflected in current instructional practices, and being ―bad at math‖ is not viewed as a problem by American society. As a response to the current state of mathematics in the United States, the researcher created an informal educational center to provide positive mathematical experiences that demonstrate how math works. The Metamo4ic Math Center opened in 2007. This study investigated the effectiveness of a two-hour field trip visit to the Math Center on 114 elementary students, six teachers, and 42 preservice teachers. A Math Anxiety Scale - Revised (MAS-R) and knowledge concept map were administered to treatment and control groups pre-visit, post-visit, and post-post visit. Interviews were conducted pre and post visit. In addition, an independent evaluator observed each field trip visit. The results of the study indicated that the Math Center does significantly lessen anxiety and reduce negative attitudes toward mathematics in elementary students and iii their teachers. Although pre-service teachers demonstrated a lessening in anxiety, the decrease was not significant, and the results demonstrated that the pre-service teachers in both the treatment and control groups had anxiety levels significantly higher than the student and in-service teacher groups. This study led the researcher to conclude that a ―Cycle of Anxiety‖ is contagious and continually perpetuated through the current instruction of mathematics. This study indicated that efforts to improve math achievement void of addressing negative attitudes and math anxiety might not be successful

Annual report of the Board of Regents of the Smithsonian Institution, showing the operations, expenditures, and condition of the institution for the year 1872.

42-3Annual Report of the Smithsonian Institution. [1573] Research related to American Indians; ancient aboriginal trade; mounds; Mandan ceremonies; etc.1873-8

Annual report of the Board of Regents of the Smithsonian Institution, showing the operations, expenditures, and condition of the institution for the year 1872.

Annual Report of the Smithsonian Institution. [1573] Research related to American Indians; ancient aboriginal trade; mounds; Mandan ceremonies; etc