2020
DOI: 10.1098/rspa.2019.0831
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Passage through exceptional point: case study

Abstract: The description of unitary evolution using non-Hermitian but ‘hermitizable’ Hamiltonians H is feasible via an ad hoc metric Θ  =  Θ ( H ) and a (non-unique) amendment 〈 ψ 1 | ψ 2 〉 → 〈 ψ 1 | Θ | ψ 2 〉 of the inner product in Hi… Show more

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Cited by 21 publications
(53 citation statements)
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“…The physics of stability covered by paper [15] can be perceived as one of the main sources of inspiration of our present study. We intend to replace here the very specific model of Equation (1) (in which the geometric multiplicity L of all of its EP-related degeneracies was always equal to one) by a broader class of quantum systems.…”
Section: Introductionmentioning
confidence: 94%
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“…The physics of stability covered by paper [15] can be perceived as one of the main sources of inspiration of our present study. We intend to replace here the very specific model of Equation (1) (in which the geometric multiplicity L of all of its EP-related degeneracies was always equal to one) by a broader class of quantum systems.…”
Section: Introductionmentioning
confidence: 94%
“…As a certain limiting analogue of the conventional set of eigenvectors the transition matrix is obtainable via the solution of the EPK-related analogue (4) of conventional Schrödinger equation. For our illustrative example H (GGKN) (K, γ), in particular, all of the Kand γ (EPK) -dependent explicit, closed forms of solutions Q (EPK) remain non-numerical and may be found constructed in dedicated paper [15].…”
Section: Exceptional Pointsmentioning
confidence: 99%
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