Manipulating spectral transitions and photonic transmission in a non-Hermitian optical system through nanoparticle perturbations

TL;DR

This paper explores how nanoparticle perturbations can control spectral transitions and photon transmission in non-Hermitian optical systems, particularly in spinning resonators with anti-$\mathcal{PT}$ symmetry, advancing quantum device design.

Contribution

It demonstrates how nanoparticle perturbations can induce spectral transitions from anti-$\mathcal{PT}$ symmetry to quasi-Hermitian systems and analyzes their photon transmission behaviors.

Findings

Eigenvalues can transition to quasi-Hermitian spectra through nanoparticle control.

Photon transmission behaviors can be tuned by adjusting rotational velocity and perturbation strength.

Insights for designing dissipative quantum devices under realistic conditions.

Abstract

In recent years, extensive research has been dedicated to the study of parity-time ($\mathcal{PT}$) symmetry, which involves the engineered balance of gain and loss in non-Hermitian optics. Complementary to $\mathcal{PT}$ symmetry, the concept of anti-$\mathcal{PT}$ symmetry has emerged as a natural framework for describing the dynamics of open systems with dissipations. In this work, we study spectral transitions and photon transmission in a linear spinning resonator perturbed by nanoparticles. First, we show that by precisely controlling the nanoparticle perturbations, the eigenvalues (or spectra) of a non-Hermitian system satisfying anti-$\mathcal{PT}$ symmetry can transit to that of a quasi-closed Hermitian system. Second, we outline the essential conditions for constructing a quasi-closed system and analyze its dynamic behavior with respect to photon transmission. By adjusting the rotational angular velocity of the spinning resonator and the strength of the nanoparticle perturbations, the quasi-closed system enables a variety of photon distribution behaviors, which may have significant applications in quantum devices. Our findings offer valuable insights for the design of dissipative quantum devices under realistic conditions and for understanding their responses to external perturbations.