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Optics Express

Unconventional bound states in the continuum

Xue-jian Sun, WenXiao Liu, Hui-Juan Xu, Yakun Cai, Yan-Xia Xu, Hui-Zhong Ma

Published Jul 24, 2026• 0 citations
Publisher

Abstract

We investigate the influence of long-range hoppings in a structured photonic bath on atom-photon interactions. Considering a system comprising a two-leg giant atom coupled to an extended Su-Schrieffer-Heeger (SSH) model incorporating beyond-nearest-neighbor hoppings while preserving chiral symmetry, we demonstrate the formation of an unconventional bound state in the continuum (BIC) when the atomic transition frequency resonates with a mode inside the propagation band. In particular, the spatial distribution of the photoinc wavefunction of the BIC can be modified by the long-range hoppings. Consequently, when multiple identical giant atoms are included in the system, the resulting decoherence-free interactions between them are rendered less sensitive to the specific topological configuration (e.g., braided, separated, or nested) of the emitters. Furthermore, we propose two efficient and controllable quantum state transfer protocols enabled by the extended SSH model coupled to normal atoms. We show that by appropriately engineering the long-range hopping strengths, perfect excitation transfer can be achieved between two atoms coupled to the edge sites of an infinite SSH chain. In a second scheme, a single atom coupled to the center of a finite SSH chain can transfer its excitation to one of the topological edge modes. Our paper provides a method for controlling atom-photon interactions with significant implications for quantum information transfer and processing.

DOI
10.1364/oe.607466

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We investigate the influence of long-range hoppings in a structured photonic bath on atom-photon interactions. Considering a system comprising a two-leg giant atom coupled to an extended Su-Schrieffer-Heeger (SSH) model incorporating beyond-nearest-neighbor hoppings while preserving chiral symmetry, we demonstrate the formation of an unconventional bound state in the continuum (BIC) when the atomic transition frequency resonates with a mode inside the propagation band. In particular, the spatial distribution of the photoinc wavefunction of the BIC can be modified by the long-range hoppings. Consequently, when multiple identical giant atoms are included in the system, the resulting decoherence-free interactions between them are rendered less sensitive to the specific topological configuration (e.g., braided, separated, or nested) of the emitters. Furthermore, we propose two efficient and controllable quantum state transfer protocols enabled by the extended SSH model coupled to normal atoms. We show that by appropriately engineering the long-range hopping strengths, perfect excitation transfer can be achieved between two atoms coupled to the edge sites of an infinite SSH chain. In a second scheme, a single atom coupled to the center of a finite SSH chain can transfer its excitation to one of the topological edge modes. Our paper provides a method for controlling atom-photon interactions with significant implications for quantum information transfer and processing.
The giant atom paradigm, where a single quantum emitter couples to a continuum at multiple discrete points, has enabled unprecedented control over light-matter interactions, including decoherence-free subspaces and chiral emission. However, realizing these non-local effects beyond the microwave regime remains a significant challenge due to the diffraction limit. Here, we theoretically propose a photonic analog of giant atoms operating at optical frequencies, utilizing a quantum emitter resonantly coupled to a pair of spatially separated single-mode cavities interacting with a common 1D photonic continuum. By rigorously deriving the effective non-Hermitian Hamiltonian and integrating out the bath degrees of freedom, we demonstrate that the interference between cavity-mediated emission pathways leads to the formation of robust Bound States in the Continuum (BICs). These interference-induced dark states allow for the infinite trapping of excitation within the emitter-cavity subsystem, effectively shielding it from radiative decay. Our results extend the giant atom toolbox to the optical domain, offering a scalable architecture for integrated quantum photonics and quantum interconnects.
Bound states in the continuum (BICs) are counterintuitive localized states that lie within the continuum of extended states. While extensively realized and utilized in classical wave systems, it is still unclear what a close analog of BICs would be, and how to extract their experimental signature in quantum-optical settings -- where the wave field itself is quantized into bosonic excitations. Here, we present a paradigmatic quantum-optical model consisting of a driven multi-level Jaynes-Cummings (JC) system, featuring few quantum degrees of freedom yet capable of hosting a BIC. Using the concept of a Fock-state lattice (FSL), this model can be mapped to an extended structure comprising two semi-infinite inhomogeneous Su-Schrieffer-Heeger (SSH) chains coupled to a common continuum. An appropriate quantum superposition of two topological zero modes from the separate chains forms a BIC that remains perfectly localized in the Fock-state dimension within the continuum spectrum, due to complete decoupling from the common continuum via destructive quantum interference. We further develop a method to extract the spectroscopic signature of the BIC -- a discrete peak embedded in a continuous background -- by Fourier-transforming the time-dependent dynamics of the system's chiral-symmetry operator. A highly feasible experimental proposal using a single trapped ion is provided. Our work bridges BIC physics with quantum optics, opening a pathway to harnessing such exotic states at the quantum limit.
We explore special features of quantum light-matter interactions inside structured waveguides due to their finite bandwidth, band edges, and nontrivial topological properties. We model the waveguides as either a tight-binding (TB) chain or a Su-Schrieffer-Heeger (SSH) chain. For unstructured waveguides with infinite bandwidth, the transmission and reflection coefficients of a side-coupled two-level emitter (2LE) are the same as the reflection and transmission coefficients of a direct-coupled 2LE. We show that this analogy breaks down for structured waveguides with finite bandwidth due to the appearance of Lamb shift only for the direct-coupled 2LE. We further predict a robust light-emitter coupling at zero collective decay width of a single giant 2LE (with two couplings at different points) near the band edges of the structured waveguides where topological features can be beneficial. Finally, we study single-photon dynamics in a heterojunction of a long TB and short SSH waveguide connected to a 2LE at the SSH end. We show the propagation of a photon from the excited emitter to the TB waveguide only when the SSH waveguide is in the topological phase. Thus, the heterojunction acts as a conditional propagation channel.
Photonic state engineering in waveguide QED is typically based on local light-matter interactions. This limits its control over the spatial structure of bound photonic states. Here, we demonstrate a distinct mechanism arising from the interplay between nonlocal giant-atom coupling and topological band structure. Specifically, we consider giant atoms coupled to a Su-Schrieffer-Heeger waveguide and show that this configuration enables a controllable energy-level crossing protected by the topological gap. Adiabatically sweeping the atomic detuning across the crossing leads to a controlled exchange between distinct photonic bound states. In a two-giant-atom configuration, this mechanism achieves high-fidelity conversion of a spatially splitting state into a combining state. Extending this scheme to three-giant atoms, we further realize robust, shape-preserving photon transfer mediated by sequential in-gap crossings. Our results demonstrate how topology and nonlocal light-matter coupling can be combined to achieve programmable control of bound photonic states in waveguide QED platforms.
Bound states in the continuum (BICs) are spatially localized modes embedded in the spectrum of extended states, typically stabilized by symmetry or interference. While extensively studied in single-particle and linear systems, the many-body regime of BICs remains largely unexplored. Here, we demonstrate that giant atoms, quantum emitters coupled nonlocally to structured waveguides, can host robust doublon BICs, i.e., two-photon bound states stabilized by destructive interference and interactions. We first analyze a driven two-photon emission process and show how doublon BICs arise and mediate decoherence-free interaction between distant atoms. We then demonstrate that these many-body BICs also emerge under natural, undriven dynamics via a virtual two-photon emission process in three-level giant atoms. Our results reveal an interference-based mechanism for stabilizing many-body localization in open quantum systems, with potential applications in quantum simulation, non-ergodic dynamics, and protected quantum information processing.
In this paper, we study the interaction between atom and the finite-size Su-Schrieffer-Heeger (SSH) model. We find that when the finite SSH model in the trivial phase, it can be viewed as the atom coupling with the waveguide with the finite bandwidths and non-linear dispersion relation. However, for the SSH model in the topological phase, when we consider the frequency of the atom is resonant with the edge mode of the SSH model, we find that the atom state couples to the two edge states. In this case, we find that there exists a special channel that can be utilized to transfer the atomic excitation to the ends of the SSH model using adiabatic processes. When the atom couples to the different sub-lattice, the excitation of the atom can be transferred to the leftmost or rightmost end of the chain, which provides the potential application toward quantum information processing. Furthermore, The excitation transfer of excited states of atoms to the ends of the chain can also be realized without the adiabatic process. Our work provides a pathway for realizing controllable quantum information transfer based on the atom couples topological matter.