Geometric phase around exceptional points
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. WebWe develop a general multidimensional theory of the geometric phase for (double) cycles around exceptional degeneracies in non-Hermitian Hamiltonians. We show that the …
Geometric phase around exceptional points
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WebOct 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 leads to the geometric phase for a cyclic path of time-varying velocity. If the cyclic path contains the exceptional point, a moving temperature profile can accumulate an extra ... WebTianou He, Mingshang Jin, in Encyclopedia of Nanomaterials (First Edition), 2024. Geometric phase analysis (GPA) Geometric phase analysis is a digital signal …
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 … WebSep 1, 2016 · Particularly intriguing behaviour is predicted to appear when an exceptional point is encircled sufficiently slowly, such as a state-flip or the accumulation of a geometric phase. The topological structure of exceptional points has been experimentally explored, but a full dynamical encircling of such a point and the associated breakdown of ...
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.
WebA 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 …
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. story emotion graphWebSep 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 ... ross oehmsWebNon-Hermitian (NH) photonics has attracted considerable attention from researchers owing to exotic properties that originate from the parity–time (PT) phase transition and exceptional points (EPs). In this work, we propose and numerically demonstrate formation of a Huygens dipole using an EP eigenstate in NH coupled plasmonic systems. … rossoe heatingWebJun 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 … ross offers dental insuranceWebJan 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 … story emperor\u0027s new clothesWebthe bundle can be recast as a principal bundle, so that both the geometric phases and the permutations of eigenstates can be expressed simultaneously by means of standard holonomy theory. Key words: adiabatic quantum mechanics; geometric phase; exceptional point; quantum geometric tensor 2024 Mathematics Subject Classification:81Q70; … ross oddfellowsWebthe 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 ... story emotions