Sensitizing Non-Hermitian Hamiltonian for Study of Real Spectra : Controlled broken PT symmetry

TL;DR

This paper demonstrates how coupling a broken PT-symmetry operator with a Hermitian operator can restore unbroken PT symmetry, allowing control over symmetry breaking through analytical and numerical models.

Contribution

It introduces a method to control PT-symmetry breaking by interacting non-Hermitian and Hermitian operators, providing new insights into symmetry restoration.

Findings

Broken PT-symmetry can be restored by interaction with Hermitian operators.

Varying Hermiticity contribution delays or controls PT-symmetry breaking.

Analytical and numerical models support the symmetry control mechanism.

Abstract

We find that a broken PT-symmetry operator when interacts with suitable Hermitian operator, new system becomes completely un-broken PT symmetry. Further on varying the contribution of Hermiticity one can delay or control the broken PT-symmetry. Further beyond the critical contribution ,the broken PT symmetry becomes unbroken in nature. Analytical as well as numerical models have been presented.