Global ETD Search
Search theses and dissertations gathered from participating repositories worldwide. Every result links back to the library that holds it. No account is needed.
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Showing 1 to 20 of 101 for “"Hermitian"”.
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Hermitian Maass Lift for General Level
… We will show that the space of special hermitian Jacobi forms of level $N$ is isomorphic to the space of plus forms of level $DN$ and nebentypus $\chi$ (the hermitian analogue of Kohnen's plus space) for any integer $N$ prime to $D$. This generalizes the results of Krieg from $N = 1$ to …
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Non-Hermitian Hamiltonians in Field Theory
This thesis is centred around the role of non-Hermitian Hamiltonians in Physics both at the quantum and classical levels. In our investigations of two-level models we demonstrate [1] the phenomenon of fast transitions developed in the PT -symmetric quantum brachistochrone problem may in fact be …
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Detectivity vs. Sensitivity: Non-Hermitian Metasurface Sensor
… plasmonic BIC sensor. Moreover, we induce a non-Hermitian system to control the Q factor by changing the non-radiative loss with little effect on the near field. Using this non-Hermitian structure we can break the trade-off effect
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Non-Hermitian topological states in photonic systems
In this thesis I explore non-Hermitian topological photonics with the aim of describing new phenomena which question our understanding of how far the current classification of topological states extends. This work invigorates the search for topological states in photonic systems with the hope of …
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Combinatorics Of The Hermitian One-Matrix Model
It is well known that the perturbed GUE matrix model has a combinatorial interpretation involving graphs embedded in Riemann surfaces. Generating functions for these graphs in the case of an even potential have been studied by many authors. The case of a cubic potential has also been studied. Using …
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Non-Hermitian Whispering Gallery Mode Optical Microresonators and Their Applications
… proven to be an excellent platform to study non-Hermitian physics, due to the ease with which non-Hermiticity can be controlled via gain-loss distribution and modal coupling. Non-Hermitian physics studies open systems such as WGM microresonators with loss and/or gain, described by non-Hermitian …
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Non-Hermitian aspects of coherently coupled vertical cavity laser arrays
… in the array, the coupled laser system is non-Hermitian in analogy with non-Hermitian quantum mechanics. The experimentally observed optical mode tuning and beam steering are inherently connected to the non-Hermiticity of the system. Theoretical investigation of the mode tuning mechanism is …
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Fast order-recursive Hermitian Toeplitz eigenspace techniques for array processing
… presents a fast Recursive/Iterative Toeplitz (Hermitian) Eigenspace (RITE) algorithm, and its extension to the generalized strongly regular eigendecomposition situation (C-RITE). Both procedures exhibit highly parallel structures, and their applicability to fast passive array processing is …
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cdh descent for homotopy Hermitian K-Theory of rings with involution
… the classifying space of automorphism groups of Hermitian vector bundles over a ring with involution with 2 invertible; this generalizes a result of Schlichting-Tripathi. We then prove a periodicity theorem for Hermitian K-theory and use it to construct an E-infinity motivic ring spectrum …
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Non-Hermitian Topology and Directional Amplification in Driven-Dissipative Cavity Arrays
… first develop a unifying framework based on non-Hermitian topology to understand non-reciprocity and directional amplification in driven-dissipative cavity arrays. Specifically, we unveil a one-to-one correspondence between a non-zero topological invariant defined on the spectrum of the dynamic …
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The taiji and infinity-loop microresonators: examples of non-hermitian photonic systems
… non-magnetic materials and characterized by both Hermitian and non-Hermitian Hamiltonians. In particular, I have studied three different microresonators: a typical Microring Resonator (MR), a Taiji Microresonator (TJMR), which consists of a microresonator with an embedded S-shaped waveguide, and a …
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Optimal Quaternary Hermitian Linear Complementary Dual Codes for Entanglement-Assisted Quantum Error Correction
… the suboptimal largest distance for quaternary hermitian linear complementary dual codes that can be imported as entanglement-assisted quantum error correction for parameters [22, 9, 9 or 10]₄, [22, 12, 7 or 8]₄, [23, 8, 11 or 12]₄, [23, 10, 9 or 10]₄, [23, 13, 7 or 8]₄, [24, 10, 10 or 11]₄, …
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Disorder-driven phase transitions in weak, boundary-obstructed, and non-Hermitian topological insulators
… to compute weak, boundary-obstructed, and non-Hermitian topological invariants, establish their stability at weak and strong disorder, and connect these disordered topological invariants to physical signatures. The remainder of the thesis contains an eclectic mix of other work that broadly …
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Krylov Subspace Methods with Fixed Memory Requirements: Nearly Hermitian Linear Systems and Subspace Recycling
… iterative Krylov subspace algorithms for non-Hermitian systems which do have fixed memory requirements and have favorable convergence characteristics. This dissertation describes three projects. The first project concerns short-term recurrence Krylov subspace methods for nearly-Hermitian …
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Crystalline topological phases: Bulk-boundary correspondence, geometric response, entanglement, and non-Hermitian skin effect
Submission original under an indefinite embargo labeled 'Open Access'. The submission was exported from vireo on 2024-03-01 without embargo terms
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Codes from norm-trace curves: local recovery and fractional decoding
… information than in the classical case. The Hermitian-lifted code construction of L'opez, Malmskog, Matthews, Piñero-González, and Wootters (2021) provides codes from the Hermitian curve over $F_{q^2}$ which have the same locality as the well-known one-point Hermitian codes but with a rate …
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A look-ahead variant of the Lanczos algorithm and its application to the quasi-minimal residual method for non-Hermitian linear systems
Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Mathematics, 1991.
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