Closed-form construction of exceptional points in a two-parametric PT-symmetric large-matrix model
quant-ph, math-ph, math.MP
Submitted: 2026-10-12
Updated: 2026-10-12
Comments: 24 pp., 2 figures
License: http://creativecommons.org/licenses/by/4.0/
The gist: 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).
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.
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