Spectral Repulsion, Lifshitz States in Photonic Networks

Light Publishing Center, Changchun Institute of Optics, Fine Mechanics And Physics, CAS

Disorder, long regarded as a limitation in photonics, is increasingly being harnessed as a resource for controlling light. Recent advances in nanophotonics are redefining its role, turning structural correlated disorder into a design principle rather than a fabrication imperfection. In this context, hyperuniform disordered (HuD) photonic networks, structures positioned between order and randomness, have emerged as a distinctive platform for controlling light localization and transport. In a new paper published in Light: Science & Applications, Nicoletta Granchi (University of Florence, Department of Physics and Astronomy, Italy) and colleagues reveal that a single HuD architecture can host an unexpectedly rich landscape of optical modes.

The work, carried out by the team led by Professor Francesca Intonti (University of Florence, Italy), in collaboration with Professor Marian Florescu (University of Southampton, UK) and co-workers, provides direct experimental evidence of multiple light-transport regimes that are usually studied separately. A central challenge in disordered photonics is distinguishing localized from delocalized modes and identifying their physical origin. By combining large-scale numerical simulations with hyperspectral near-field optical microscopy, the authors show that delocalized modes in HuD structures exhibit spectral correlations governed by level repulsion, a hallmark of interacting states known from quantum chaos and complex systems. This places delocalized HuD modes within the same universality class as chaotic quantum systems and provides a stringent benchmark for identifying true delocalization. At the same time, it shows that these modes are not randomly distributed in frequency, but instead form a correlated and stable spectrum, in sharp contrast to Anderson-localized states, which can cluster irregularly and unpredictably.

The most intriguing results, however, emerge where light becomes localized. The team shows that not all localized modes share the same origin. Alongside conventional Anderson localization, driven by multiple scattering, they identify a distinct class of tightly confined states promoted inside the photonic bandgap of the HuD architecture. Rooted in four-sided topological defects, these Lifshitz-like states emerge not as rare statistical anomalies, but as localized modes whose spatial and spectral positions can be anticipated at the design stage. "We argue that the modes associated with four-sided cells, which form a miniband within the photonic band gap, can be interpreted as the photonic analogue of Lifshitz states known from electronic systems. In a HuD geometry, their topological origin implies a degree of predictability in their spatial location," the authors explain. Because the study further shows that these states can hybridize into coupled "photonic molecules", it marks the first step toward chains of interacting localized modes, so-called necklace states, with important consequences for light transport in disordered media.

Together, these results establish HuD photonic networks as a uniquely versatile platform in which spectral correlations, localization, and mode coupling can coexist and be deliberately controlled within a single architecture. By bringing together regimes that are usually treated separately, the work opens a new route toward disorder-enabled photonic functionalities based on correlated spectra and interacting localized states rather than isolated resonances. This shift enables unprecedented control over light transport and confinement, with direct implications for robust random lasing, reconfigurable optical filtering, and multiplexing schemes that exploit spectral correlations. More broadly, the ability to design and couple localized modes in a controlled disordered environment lays the foundation for scalable implementations of complex photonic functionalities, including neuromorphic processing and quantum photonic architectures where controlled interactions between modes are essential.

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