Geometric phase around exceptional points

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August undefined, 2024

http://hatano-lab.iis.u-tokyo.ac.jp/thesis/shuron2014/thesis_takagi.pdf WebFeb 1, 2024 · Although Berry’s paper was meant for real symmetric Hamiltonian, recent papers on non-Hermitian degeneracies in a chaotic exciton-polariton billiard (Gao et al., 2015) and geometric phase around exceptional points (Mailybaev et al., 2005) have extended the discussion into the complex domain.

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WebSep 3, 2024 · The topological CPA points emerging around BICs in passive electronic circuits and their optical counterparts are ideally suited to control the scattered waves' amplitude, phase, and polarization ... WebWe develop a general multidimensional theory of the geometric phase for (double) cycles around exceptional degeneracies in non-Hermitian Hamiltonians. We show that the … township system definition

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WebJan 10, 2005 · Geometric phase around exceptional points. A wave function picks up, in addition to the dynamic phase, the geometric (Berry) phase when traversing … WebJul 20, 2005 · A wave function picks up, in addition to the dynamic phase, the geometric (Berry) phase when traversing adiabatically a closed cycle in parameter space. We develop a general multidimensional theory of the geometric phase for (double) cycles around … township tale alchemy

Theory for Thermal Geometric Phases: Exceptional Point ... - Springer

WebOct 22, 2008 · We apply our results to study a dissipative two-level system driven by a periodic electromagnetic field and show that, in the vicinity of the exceptional point, the complex geometric phase behaves like a step-function. Studying the tunneling process near and at the exceptional point, we find two different regimes: coherent and incoherent. WebJun 26, 2012 · The degeneracy points and different types of exceptional points are distinguishable by their topological features of the global geometric phase accompanied … township synonymWebA wave function picks up, in addition to the dynamic phase, the geometric Berry phase when traversing adiabatically a closed cycle in parameter space. We develop a general … township tagalog

"WebJan 5, 2024 · The peculiar behaviour of complex eigenvalues around an exceptional point manifests itself in ... Mailybaev, A. A., Kirillov, O. N. & Seyranian, A. P. Geometric … " - Geometric phase around exceptional points

Geometric phase around exceptional points

Dynamically encircling an exceptional point for asymmetric …

WebJun 26, 2012 · We study the geometrical phase when multiple exceptional points (EPs) are involved. In an optical microcavity of a stadium shape, we find two EPs, connected … WebThe accurate and reliable high-altitude orientation estimation is of great significance for unmanned aerial vehicles (UAVs) localization, and further assists them to conduct some fundamental functions, such as aerial mapping, environmental monitoring, and risk management. However, the traditional orientation estimation is susceptible to …

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Webclose to exceptional points. For more details on perturbation theory around exceptional points, see, e.g., [57] and the references cited therein. As indicated above, at an exceptional point, two or more eigenvalues and the corresponding eigenstates coalesce, that is, the Hamiltonian is not diagonalisable. WebJan 4, 2024 · In integrated photonic platforms, exceptional points and phase transitions have been observed in coupled passive optical waveguides, where controllable loss in one of the ... Geometric phase around exceptional points. Phys. Rev. A 72, 014104 (2005). 10.1103/PhysRevA.72.014104. Crossref. Google Scholar. 123. R. Uzdin, N. Moiseyev, …

WebApr 12, 2024 · The reported demonstrations of a Berry phase (with a controlled phase shift), acquired by encircling a DP 25,26,27, can lead to applications in topological photonics 28, quantum metrology 29, and ... WebThe Geometric Phase. A circuit tracing a closed curve in an abstract space can explain both a curious shift in the wave function of a particle and an apparent rotation of a …

WebJul 20, 2005 · We develop a general multidimensional theory of the geometric phase for (double) cycles around exceptional degeneracies in non-Hermitian Hamiltonians. WebDec 15, 2010 · Geometric phase around exceptional points. Journal Article Mailybaev, Alexei; Kirillov, Oleg; Seyranian, Alexander - Physical Review. A. A wave function picks …

Webthe parameter cycle with only one acquiring a geometric phase [11,12]. This behavior, attributed to the branch point character of the degeneracy that causes a gradual transition between the intersecting complex Riemann sheets, was observed in microwave cavities [13] and exciton-polariton systems [14]. This situation gets drastically altered ...

WebNov 25, 2016 · Geometric Berry phase is associated with these spectral degeneracies. ... an exceptional point is a non-Hermitian ... At the end of the loop around the diabolical point, the phase of each ... township t shirt company sewellWebJan 10, 2005 · A wave function picks up, in addition to the dynamic phase, the geometric (Berry) phase when traversing adiabatically a closed cycle in parameter space. We develop a general multidimensional theory of the geometric phase for (double) cycles around exceptional degeneracies in non-Hermitian Hamiltonians. We show that the geometric … township südafrikaWebA wave function picks up, in addition to the dynamic phase, the geometric (Berry) phase when traversing adiabatically a closed cycle in parameter space. We develop a general … township tale alchemy recipesWebJan 10, 2005 · A wave function picks up, in addition to the dynamic phase, the geometric (Berry) phase when traversing adiabatically a closed cycle in parameter space. We … township tale alta dashboardWebOct 6, 2024 · The exceptional point is related to anti-parity-time symmetry [ 15, 16 ], which is also widely explored in other systems [ 31, 32, 33 ]. The exceptional point further … township tale accountWebAug 1, 2024 · Nonlinear topology around exceptional point enhances frequency tuning sensitivity. Abstract. Appearance of exceptional points (EPs) in photonics arises enormous attention as a result of the counterintuitive phenomena occurring around EP. ... Geometric phase around exceptional points. Phys Rev A, 72 (1) (2005), Article 014104. CrossRef … township tale alchemy modWebA wave function picks up, in addition to the dynamic phase, the geometric (Berry) phase when traversing adiabatically a closed cycle in parameter space. We develop a general … township tale all commands