English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Zendy Plus

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Zendy Tools

Zendy Open

The broken and unbroken phases of PT and supersymmetry in optical systems areexplored for a complex refractive index profile in the form of a Scarfpotential, under the framework of supersymmetric quantum mechanics. Thetransition from unbroken to the broken phases of PT-symmetry, with the mergerof eigenfunctions near the exceptional point is found to arise from twodistinct realizations of the potential, originating from the underlyingsupersymmetry. Interestingly, in PT-symmetric phase, spontaneous breaking ofsupersymmetry occurs in a parametric domain, possessing non-trivial shapeinvariances, under reparametrization to yield the corresponding energy spectra.One also observes a parametric bifurcation behaviour in this domain. Unlike thereal Scarf potential, in PT-symmetric phase, a connection between complexisospectral superpotentials and modified KdV equation occurs, only with certainrestrictive parametric conditions. In the broken PT-symmetry phase,supersymmetry is found to be intact in the entire parameter domain yielding thecomplex energy spectra, with zero-width resonance occurring at integral valuesof a potential parameter.

PT-Symmetry and Supersymmetry: Interconnection of Broken and Unbroken Phases