Twisted Light, Emerging Structures: Controlling Topology in Photonic Crystals

Author: Denis Avetisyan


Researchers have demonstrated the creation and magnetic control of complex, multidimensional topological structures within carefully engineered photonic crystals.

A photonic crystal slab incorporating yttrium iron garnet (YIG) exhibits bound states in the continuum (BICs)-specifically left-handed (L-BIC), right-handed (R-BIC), and Dirac (D-BIC)-whose evolution with κ is linked to real-space topological textures, including phase, chirality, and Stokes vector distributions, and reversing the magnetic field swaps these chiral BICs and their associated textures, demonstrating a pathway to manipulate photonic states through materials’ intrinsic properties.
A photonic crystal slab incorporating yttrium iron garnet (YIG) exhibits bound states in the continuum (BICs)-specifically left-handed (L-BIC), right-handed (R-BIC), and Dirac (D-BIC)-whose evolution with κ is linked to real-space topological textures, including phase, chirality, and Stokes vector distributions, and reversing the magnetic field swaps these chiral BICs and their associated textures, demonstrating a pathway to manipulate photonic states through materials’ intrinsic properties.

This work unveils a platform for manipulating chiral bound states in the continuum to generate and control phase vortices, skyrmions, and other exotic real-space topological defects.

While topological photonics has largely focused on momentum-space properties, a complete understanding requires exploring real-space manifestations of these states. Here, in ‘Emerging Multidimensional Real-Space Topological Structures at Chiral Bound States in the Continuum’, we demonstrate the emergence of complex, magnetically controlled topological structures-including phase vortices, spatially distributed chirality, and skyrmionic textures-within chiral bound states in the continuum realized in a gyromagnetic photonic crystal. This work reveals a previously unexplored dimension of BIC topology and establishes a platform for manipulating complex topological states of light. Could these findings pave the way for novel photonic devices with tailored functionalities based on real-space topological control?


Beyond Diffraction: The Rise of Topological Photonics

Conventional photonic devices, built on principles of diffraction and refraction, frequently struggle with imperfections and fabrication tolerances that compromise performance. These structures often exhibit sensitivity to defects, leading to backscattering, loss of signal, and limitations in miniaturization. The inherent difficulty in precisely controlling light propagation within these systems restricts their functionality in applications requiring high precision, such as advanced sensing, quantum information processing, and integrated optical circuits. Because of these constraints, achieving robust and reliable light-matter interactions remains a significant challenge, hindering the development of truly scalable and efficient photonic technologies.

Topological photonics represents a significant departure from conventional optical design, promising devices remarkably resilient to imperfections and disturbances. Inspired by advances in topological insulators-materials that conduct electricity on their surfaces but remain insulating in their interiors-researchers are now engineering photonic structures exhibiting analogous properties for light. These designs utilize concepts like protected edge states, where light propagation is guaranteed in one direction, irrespective of defects or disorder. This inherent robustness drastically reduces signal loss and enables the creation of waveguides and circuits that maintain performance even with manufacturing variations or external noise. The potential implications span a wide range of applications, from highly efficient optical computing and communication to advanced sensing technologies and the development of more stable lasers, all predicated on the principle of loss-immune light propagation.

The realization of topologically protected photonic devices hinges on the identification and fabrication of materials exhibiting non-trivial topological properties. Researchers are actively investigating a diverse range of structures, extending beyond traditional photonic crystals to include gyromagnetic metamaterials, acoustic lattices, and even dynamically modulated systems. These materials must support specific band structures characterized by topological invariants, such as Chern numbers or \mathbb{Z}_2 indices, which dictate the existence of protected edge or surface states. Crucially, these states are immune to backscattering from imperfections or disorder, allowing light to propagate with minimal loss and enhanced robustness. The development of these complex materials and structures represents a significant materials science challenge, requiring precise control over fabrication techniques and a deep understanding of the interplay between material properties and topological phases.

Reversing the magnetic field causes the bound-in-the-continuum (BIC) state to switch between right- and left-handed polarizations, accompanied by a corresponding change in its near-field topological structure.
Reversing the magnetic field causes the bound-in-the-continuum (BIC) state to switch between right- and left-handed polarizations, accompanied by a corresponding change in its near-field topological structure.

Designing for Robustness: Engineering Chiral Bound States

Bound States in the Continuum (BICs) represent resonant states embedded within the continuous spectrum of a photonic structure, offering advantages such as infinite quality factors and strong light-matter interactions. These characteristics are highly desirable for applications including sensing, nonlinear optics, and lasing. However, naturally occurring BICs often lack chirality – the property of asymmetry that allows for differentiation between left- and right-handed light polarization. Achieving chirality is critical for applications requiring polarized light emission or selective interaction with chiral molecules, necessitating the development of strategies to introduce asymmetry into BIC systems. The absence of inherent chirality limits the functionality of BICs in many advanced photonic devices.

Chirality in Bound States in the Continuum (BICs) is induced through the utilization of a gyromagnetic photonic crystal slab constructed from Yttrium Iron Garnet (YIG). YIG is a material exhibiting a spontaneous magnetization, and its magnetic properties are leveraged to break the symmetry of the photonic crystal structure. This asymmetry is critical for enabling chiral BICs, which exhibit a strong interaction with light of a specific circular polarization. The resulting structure supports the manipulation of light polarization states and provides a pathway for developing novel optical devices.

The application of an external magnetic field to the gyromagnetic photonic crystal slab composed of Yttrium Iron Garnet (YIG) induces a breaking of spatial symmetry within the structure. This symmetry breaking is a direct result of the magneto-optical effects present in YIG, altering the material’s permittivity tensor when exposed to a magnetic field. Consequently, degenerate states within the photonic crystal are lifted, and chiral Bound States in the Continuum (BICs) emerge. These chiral BICs are characterized by unique polarization-dependent properties not present in the symmetric, field-free state, enabling manipulation of light polarization at specific resonant frequencies.

The fabricated chiral bound state in the continuum (BIC) structure consists of a gyromagnetic photonic crystal slab with a 33 mm radius and 1.4 mm thickness, patterned with a 14 mm lattice constant. This geometry supports precise control over the polarization state of emitted light due to the symmetry-breaking induced by an applied magnetic field. The dimensions are critical for establishing the desired photonic properties and enabling manipulation of light polarization, allowing for the creation of highly tailored optical responses within the structure.

Near-field measurements reveal that chiral bound states in the continuum (BICs) exhibit distinct left- and right-handed circular polarization components and generate skyrmionic textures characterized by a normalized third Stokes parameter <span class="katex-eq" data-katex-display="false">S_3/S_0</span>.
Near-field measurements reveal that chiral bound states in the continuum (BICs) exhibit distinct left- and right-handed circular polarization components and generate skyrmionic textures characterized by a normalized third Stokes parameter S_3/S_0.

Revealing Order from Complexity: Mapping Near-Field Topology

Near-field optical measurements demonstrate that chiral bound states in the continuum (BICs) emit light exhibiting spatially varying chirality. This chirality is not a uniform property of the emitted radiation, but rather a distributed characteristic observed across the near-field emission pattern. Analysis of the polarization state of the emitted light reveals that the Stokes parameters, which describe the polarization, vary in a non-trivial manner across the spatial extent of the near-field. These measurements confirm the presence of chiral optical responses localized to the BIC resonances, and provide a direct observation of the spatially distributed chiral character of the emitted light, which is fundamental to the formation of the observed skyrmionic textures.

Analysis of emitted light from chiral bound states in the continuum (BICs) demonstrates that chirality is not uniformly distributed; instead, it organizes into complex Skyrmionic Stokes Textures. These textures are characterized by spatially varying Stokes parameters, which define the polarization state of light, and their configuration mirrors that of a skyrmion – a topologically protected spin texture. Specifically, the Stokes parameters S_1, S_2, and S_3 exhibit swirling patterns, indicating a non-trivial topological arrangement of polarization across the emitted wavefront. This arrangement deviates from simple polarization states and is a direct consequence of the BIC’s chiral properties and the resulting interference patterns of the emitted light.

The observed Skyrmionic Stokes textures are a direct consequence of the topological charge inherent to the chiral bound states in the continuum (BICs) comprising the structure. Specifically, the non-trivial topology of these BICs-manifested in their singular behavior in reciprocal space-gives rise to the spatially varying Stokes parameters forming the observed textures. Crucially, the application of an external magnetic field is essential for stabilizing these textures; without the field, the topological protection afforded by the BIC is insufficient to prevent their relaxation and dissipation. The magnetic field effectively locks the polarization state, maintaining the skyrmionic configuration and enabling their observation via near-field microscopy.

The six-fold (C6) rotational symmetry of the investigated structure directly influences the formation of phase vortices within the emitted light. Analysis indicates that the Ez component of the electric field exhibits a topological charge of +2 for the Right-handed BIC (R-BIC), while the Ex and Ey components each possess a topological charge of +1. Critically, this charge reverses sign for the Left-handed BIC (L-BIC), resulting in a negative topological charge for both the Ez, Ex, and Ey components. This symmetry-dependent variation in topological charge is a direct consequence of the BIC’s inherent chiral properties and governs the spatial distribution of the observed phase vortices.

Near-field scanning revealed two distinct bands of <span class="katex-eq" data-katex-display="false">E_z</span> amplitude, and subsequent measurements of the resonant BIC structure demonstrated contrasting phase vortices-opposite for right- and left-handed BICs-confirming the expected field distributions.
Near-field scanning revealed two distinct bands of E_z amplitude, and subsequent measurements of the resonant BIC structure demonstrated contrasting phase vortices-opposite for right- and left-handed BICs-confirming the expected field distributions.

Beyond the Horizon: Implications and Future Directions

The realization of robust chiral bound states in the continuum (BICs) – light states that remain trapped within a structure despite lacking confinement – represents a significant leap towards novel photonic devices. These BICs aren’t merely theoretical constructs; researchers have demonstrated precise control over their near-field topology, meaning the spatial distribution of light immediately surrounding the structure can be carefully sculpted. This manipulation is crucial because it directly dictates how these BICs interact with light and matter, enabling the creation of devices with unprecedented functionality. The ability to reliably produce and control these chiral BICs paves the way for breakthroughs in areas like advanced sensing – detecting minute changes in polarization or molecular structure – highly efficient polarization beam splitters, and even the development of remarkably compact optical data storage solutions, promising a future where light, rather than electrons, powers increasingly sophisticated technologies.

The creation of robust chiral bound states in the continuum (BICs) extends beyond fundamental physics, promising significant advancements in several applied fields. Notably, these structures hold potential as highly sensitive chiral sensors, capable of distinguishing between molecules with differing ‘handedness’ due to their unique interaction with polarized light. Furthermore, the precise control over light polarization afforded by these BICs makes them ideal candidates for developing compact and efficient polarization beam splitters, essential components in optical communications and imaging systems. Beyond manipulation of light, the concentrated electromagnetic fields within these BICs also present opportunities for creating high-density, compact optical data storage solutions, potentially revolutionizing how information is stored and accessed in the future.

Continued innovation in biperiodic metamaterials hinges on a deeper understanding of material properties and structural configurations beyond currently explored designs. Researchers are actively investigating novel materials – including, but not limited to, high-refractive-index dielectrics and tunable phase-change materials – to enhance device performance and functionality. Simultaneously, theoretical advancements in Real-Space Topology are crucial; this modeling approach allows for a predictive understanding of how light interacts with these complex structures, guiding the creation of devices with tailored optical responses. By synergistically combining materials discovery with rigorous topological modeling, the field anticipates a new generation of photonic devices exhibiting unprecedented control over light, potentially revolutionizing areas such as nanoscale imaging, advanced sensing, and high-density optical data storage.

The convergence of topological valley physics and vortex beams presents a pathway to photonic functionalities exceeding present limitations. These valleys, representing protected states of light, when coupled with the swirling nature of vortex beams, create uniquely robust and manipulable light fields. Recent investigations demonstrate that applying an external magnetic field doesn’t merely tune these features, but fundamentally reverses the topological characteristics, effectively flipping the behavior of the light. This complete reversibility-a switching mechanism inherent to the structure-suggests potential applications in all-optical logic, advanced optical computing, and dynamically reconfigurable photonic circuits, where light’s path and properties can be instantly altered without material changes.

The emergence of complex, multidimensional topological structures within the gyromagnetic photonic crystal slab reveals a compelling truth about system behavior. These real-space textures – vortices, chirality, and skyrmionic patterns – aren’t imposed through central design, but arise from the local interactions of light and material properties. This resonates deeply with the observation that robustness isn’t engineered, it emerges. Nikola Tesla aptly stated, “I don’t believe in forcing things.” The research demonstrates how, by manipulating magnetic fields, these intricate patterns self-organize within bound states in the continuum, a testament to how small interactions can create monumental shifts in observable phenomena – a natural unfolding rather than a forced construction.

Beyond the Horizon

The creation of complex, real-space topological structures within engineered photonic systems suggests a shift in perspective. Rather than striving for precise control over individual photons-a futile exercise given inherent quantum uncertainties-the research highlights the emergence of order from local interactions. The system doesn’t dictate topology; it provides a substrate where inherent symmetries and constraints allow it to manifest. Future investigations will likely focus not on imposing specific configurations, but on understanding the rules governing their spontaneous formation and evolution.

A significant challenge remains in scaling these observations. The current work demonstrates control at the level of individual features. True utility, however, will require the manipulation of many such structures simultaneously, and the creation of robust, self-assembled topological networks. This points toward a need for systems that embrace disorder, allowing complexity to arise from the interplay of numerous, imperfect components-a departure from the prevailing drive for atomic precision.

Ultimately, the long-term impact may lie not in specific applications, but in a broadened understanding of how order arises in complex systems. The observed phenomena are not unique to photonics. The principles governing these emergent structures-the interplay of symmetry, constraint, and local interaction-are likely to be universal, offering insights into fields ranging from condensed matter physics to biology, where complex patterns self-organize without central command.


Original article: https://arxiv.org/pdf/2602.22634.pdf

Contact the author: https://www.linkedin.com/in/avetisyan/

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2026-02-27 18:38