Geometric phase around exceptional points

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August undefined, 2024

WebJul 15, 2005 · Journal Article: Geometric phase around exceptional points ... 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

[1210.7536] The physics of exceptional points - arXiv.org

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 ... 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 ... dobhoff correct placement

Exceptional points in optics and photonics Science

WebGeometric phase around the conical intersection involving the ground electronic state of the C 6 H 3 F 3 + molecular ion is discussed on pages 385–386 of the textbook by … 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 ... 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 … creating blogspot

Geometric phase around multiple exceptional points

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

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 … Websystem 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 dobhoff correct locationhttp://hatano-lab.iis.u-tokyo.ac.jp/thesis/shuron2014/thesis_takagi.pdf dobhoff contraindications

"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 … " - Geometric phase around exceptional points

Geometric phase around exceptional points

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 … 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; …

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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, … WebWe develop a general multidimensional theory of the geometric phase for (double) cycles around exceptional degeneracies in non-Hermitian Hamiltonians. We show that the …

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 …

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. 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 …

WebThe exceptional point is a new type of singular point of the Hamiltonian, which speci cally appears in non-Hermitian systems. The geometric phase around the exceptional points recently has great interest [10{15]. For Hermitian systems, previous studies indicate that the origin of the geometric phase is the diabolic points, another singular point in creating blog with flaskWebOct 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 … creating blueprintsWebJun 26, 2012 · The degeneracy points and different types of exceptional points are distinguishable by their topological features of the global geometric phase accompanied … creating bloom\\u0027s taxonomy examples