Abstract

In single microdisks, embedded active emitters intrinsically affect the cavity modes of the microdisks, resulting in trivial symmetric backscattering and low controllability. Here we demonstrate macroscopic control of the backscattering direction by optimizing the cavity size. The signature of the positive and negative backscattering directions in each single microdisk is confirmed with two strongly coupled microdisks. Furthermore, diabolical points are achieved at the resonance of the two microdisks, which agrees well with theoretical calculations considering the backscattering directions. Diabolical points in active optical structures pave the way for an implementation of quantum information processing with geometric phase in quantum photonic networks.

Highlights

  • 1234567890():,; 1234567890():,; 1234567890():,; 1234567890():,; Introduction Diabolical points (DPs) and exceptional points (EPs) describe degeneracies of systems depending on parameters[1,2]

  • EPs refer to degeneracies of non-Hermitian systems with coalescent eigenstates, which are quite popular in systems with gain and loss such as parity-timesymmetric systems[3,4,5]

  • The same linewidth of the two peaks from the single microdisks indicates that the imaginary parts of Ja and Jb are zero

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Summary

Introduction

Diabolical points (DPs) and exceptional points (EPs) describe degeneracies of systems depending on parameters[1,2]. EPs refer to degeneracies of non-Hermitian systems with coalescent eigenstates, which are quite popular in systems with gain and loss such as parity-timesymmetric systems[3,4,5]. DPs indicate the degeneracy of a Hermitian system with twofold orthogonal eigenstates. Compared to EPs with gain and loss, DPs have more practical feasibility, provide a geometric phase with a controlled phase shift, and introduce new approaches to the study of topological or quantum DP behaviors[6,7,8,9,10,11]. Photons in photonic structures at DPs have potential applications in quantum information and quantum computation[12,13,14,15]. Active emitters in photonic structures are essential for a coherent electron–photon interface to implement quantum information processing

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