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Showing 1 to 20 of 34 for “"Spinor"”.
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Progress Towards a Spinor Bose-Einstein Condensate Machine
… a laser cooling system to be used to study spinor physics in a 41K BEC. In this thesis, I detail the major components of the laser cooling system that I worked on including the master external cavity diode laser (ECDL), tapered amplifier, laser frequency characterization subsystems, and …
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On the structure of geometries with spinor-type connexion
… of the classical fieldtheoretic description of spinor fields in curved space-time. A geometric model for spinor fields in curved space-time is described which is based upon properties of so-called tangent Clifford algebras. The tangent Clifford algebra to a space-time manifold at a certain point …
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Secant varieties of Spinor varieties and of other generalized Grassmannians
… varieties of lines of Grassmannians and of Spinor varieties. As first result, we completely determine their posets of orbits under the action of the groups SL and Spin, respectively. Then we solve the problems of identifiability and tangential-identifiability of points in the secant …
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Gluing Z₂-Harmonic Spinors on 3-Manifolds
… foundations of a gluing result for Z₂-harmonic spinors on 3-manifolds. Z₂-harmonic spinors are a singular version of classical harmonic spinors and naturally arise as limits of sequences of solutions to generalized SeibergWitten equations. The gluing problem studied here addresses the reverse …
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Many-body cavity QED: The Dicke model, phase transitions, and engineering of multipartite entangled atomic states
… key concept of the thesis is the introduction of spinor atoms - i.e. atoms with integer spin - to many-body cavity QED. We showed that the Dicke model, and more simply a Tavis-Cummings model, acting on a particular state of spin-1 atoms produces highly entangled states heralded by measurement of …
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Six Dimensional Supergravity, Spinorial Geometry and (1,0)-Superconformal Theories
… The methodology used to solve the Killing spinor equations will be based on the spinorial geometry technique. Therefore, we begin by giving details of the spinorial geometry approach in the rst chapter. In the chapter that follows six dimensional supergravity coupled to tensor, vector and …
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Topics in the Theory of Bose -Einstein Condensates With a Spin Degree of Freedom
… of condensates, which are usually referred to as spinor condensates, exhibit several phenomena that are qualitatively different from scalar (i.e. spinless) condensates. We analyze the ground state of a condensate with the constraint of maintaining a constant value of the total spin, and we find a …
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On the parallels between the Maxwell and Dirac equations
… is a second--order covariant or contravariant spinor. Furthermore, the electronic field is naturally identified as a spinor (first--order spinor), whereas the electromagnetic field emerges as a second--order mixed spinor. We further express both the Maxwell and Dirac equations in terms of these …
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Gravity, spinors and gauge-natural bundles
… formulation of the coupling between gravity and spinor fields. In Chapter 1 we recall the necessary background material from differential geometry and introduce the fundamental notion of a gauge-natural bundle. Chapter 2 is devoted to expounding the general theory of Lie derivatives, its …
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The KLT relations in unimodular gravity
… developed in that context, such as the spinor helicity formal-ism. In particular, we show, up to five-points and tree-level, that the KLT relations of perturbative gravity hold for trace free or unimodular gravity. This work is in conjunction with a paper written with A. Welman, J. …
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Precision theory for LHC/FCC : new results for the five point function and interface between KKMC-hh and MG5_aMC@NLO.
… developed the computer realization of the magic spinor product method in loop integrals proposed by B. F. L. Ward to evaluate the general five-point function numerically. The result from magic spinor product method agrees with that from LoopTools overall. Additionally, we also developed an …
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Effective field theories for the LHC
… to fixed order computations performed using spinor-helicity techniques, and demonstrate its utility by computing an observable relevant for studying the properties of the newly discovered Higgs boson.
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Aspects of higher dimensional Einstein theory and M-theory
… Finally, after an in-depth exposition of the spinor classification scheme and its relation to the tensor approach, solutions belonging to the most special type in the spinor classification are classified. In addition, the classification of the black ring in this scheme is discussed. The second …
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Finite Dimensional Approximation and Pin(2)-equivariant Property for Rarita-Schwinger-Seiberg-Witten Equations
… on its properties. Roughly speaking, 3/2−spinors are spinor-valued 1-forms that also happen to be in the kernel of the Clifford multiplication. Let X be a simply connected Riemannian spin 4−manifold. Associated to a fixed spin structure on X, we define a Seiberg-Witten-like system of …
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Twisted and exceptional Tinkertoys for Gaiotto duality
… for all Spin(n) gauge theories with matter in spinor representations which can be realized by compactifying the (2, 0) theory. We also study a family of SCFTs arising from the twisted A [subscript 2N] series, whose twisted punctures are still not fully-understood.
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Non-perturbative approaches to strongly correlated electron systems
… We consider an interaction term between a bulk spinor field and a gauge field in the Reissner-Nordstr\""om AdS background. When the Pauli interaction term is large enough, a dynamical gap is generated and spectral weight transfer is observed in the spectral density, mimicking the behavior of the …
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Radiative Corrections to and Connections Among Theories With Lorentz Violation and Time-Varying Couplings
… </p> <p>Finally, a theory of scalar and spinor fields, interacting through Yukawa and &phi<super>4</super> interactions, with Lorentz-violating operators included in the Lagrangian is considered. The leading quantum corrections in this theory are computed, showing the renormalizability of …
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Localized wave solutions in optical fiber wavelengths
… pulses, the scalar equivalent of Hillion’s spinor modes and the Modified Power Spectrum (MPS) pulses are considered. A detailed study of the MPS pulse is performed, practical issues regarding source spectra are addressed, and distances over which such LW solutions maintain their non-decaying …
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Exotic vortices in superfluids and matrix product states for quantum optimization and machine learning
… Bose--Einstein condensate (BEC) and a rotating spinor-BEC, in two spatial dimensions. Vortex molecules can form in a two-component superfluid when a Rabi field drives transitions between the two components. We study the ground state of an infinite system of vortex molecules in two dimensions, …
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STRICT REGULARITY OF POSITIVE DEFINITE TERNARY QUADRATIC FORMS
… other form in its genus. The theory of primitive spinor exceptional integers is used to analyze the primitive exceptions for the forms in two other genera known to contain a regular ternary form. In these cases, results are obtained relating the primitive representation of certain integers c by a …
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