Closed-form construction of exceptional points in a two-parametric PT-symmetric large-matrix model

Abstract:Stable bound states living on a discrete one-dimensional N-point lattice are assumed generated by a certain two-parametric PT symmetric potential $V=V(A,B)$. At any $N$, the coordinates $A=A^{(EP)}$ and $B=B^{(EP)}$ of the Kato's exceptional point (marking the phase-transition instant of the loss of stability) are defined, exactly, via roots of a certain elementary quartic polynomial.

24 pp., 2 figures

arXiv:2610.16613 [quant-ph]

(or arXiv:2610.16613v1 [quant-ph] for this version)

https://doi.org/10.48550/arXiv.2610.16613 Focus to learn more arXiv-issued DOI via DataCite (pending registration)

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