Geometric phase around exceptional points
WebDec 15, 2010 · Geometric phase around exceptional points. Journal Article Mailybaev, Alexei; Kirillov, Oleg; Seyranian, Alexander - Physical Review. A. A wave function picks … WebAug 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 …
Geometric phase around exceptional points
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WebJan 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 … 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 multidimensional theory of the geometric phase for double cycles around exceptional degeneracies in non-Hermitian Hamiltonians. We show that the
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 ... Webthe 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; …
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 … http://hatano-lab.iis.u-tokyo.ac.jp/thesis/shuron2014/thesis_takagi.pdf
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.
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 … how to change m to mmWebOct 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. how to change mt4 password on androidWebJun 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 … michaelmarketingandrealestate.comWebthe 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 ... how to change mtext color in autocadWebOct 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 ... michael markesberyWebTianou He, Mingshang Jin, in Encyclopedia of Nanomaterials (First Edition), 2024. Geometric phase analysis (GPA) Geometric phase analysis is a digital signal … how to change mtn fibre broadband passwordWebsystem behaviour. The geometric phase at EPs has been discussed in [14, 26–32]. EPs also play an important role in the recently considered PT-symmetrically extended quantum models [33–35]. There they correspond to the phase-transition points between physical sectors of exact PT symmetry and unphysical sectors of spontaneously broken PT how to change mtn router password