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Laser Physics Letters

Phase-controlled single-photon router and chiral scattering in a π-shaped waveguide with giant atoms

Liming Yang, Z H Zhu, Yi‐Qi Zhang, J X Zhou, Keke Chen, Yi-Feng Chai

Published Apr 22, 2025• 2 citations
Publisher

Abstract

Abstract We investigate a π-shaped single-photon router composed of an infinite waveguide and two semi-infinite waveguides coupled through double two-level giant atoms, where each giant atom is further coupled to a single-mode cavity. Using the real-space approach, analytical expressions of the single-photon scattering amplitudes are derived. The numerical results show that optimal routing with unit efficiency can be achieved by precisely adjusting frequency detunings between the incident photon and the atomic as well as cavity resonances, the accumulated phase, local coupling phases and coupling strengths between atoms, waveguides and cavities. Additionally, chiral single-photon scattering is observed, demonstrating a strong direction-dependence in the scattering properties, with perfect chiral scattering achieved under specific phase-matching conditions. We believe that our research has considerable potential applications for designing advanced optical quantum devices and implementing efficient single-photon quantum routing based on giant atom architectures.

DOI
10.1088/1612-202x/adca9b

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We investigate the single-photon quantum routing composed of two infinite waveguides coupled to two giant two-level atoms. The exact expressions of the single-photon transmission and reflection amplitudes are derived with the real-space approach. It is found that the single photon scattering behavior is strongly dependent on the phase difference between the two adjacent atom-waveguide coupling points, the frequency detuning, the coupling strength between the two giant atoms, and the interaction strengths between the giant atoms and the waveguides. Our studies show that an ideal single photon router with unit efficiency can be realised by designing the size of the giant atom, and the frequency detuning or adjusting the interaction strengths between the atoms and the waveguides. The results suggest the potential to effectively control the single-photon quantum routing based on the giant-atom setup.
This work is to investigate the single-photon scattering in a waveguide quantum electrodynamics system consisting of two dipole-coupled giant atoms, each interacting with a separate one-dimensional infinite waveguide at two distinct coupling points. Our primary objective is to establish a theoretical framework for manipulating photon propagation paths via quantum interference induced by multiple coupling points and local phase engineering. Unlike traditional chiral coupling schemes, an innovative method, in which the coupling phases are designed locally at each atom-waveguide interface, is used to achieve effective chiral coupling, thereby introducing novel quantum interference mechanisms. Using a real-space approach, we derive analytical expressions for four-port scattering amplitudes. We establish the conditions for achieving perfect directional routing to any output port and demonstrate the coherent control mechanisms implemented by geometric and local coupled phases. Continuous frequency tunability is primarily achieved through dipole-dipole interaction, and finely tuned through the accumulated phase and local coupling phases. Local phase differences precisely regulate port-specific probability distributions within the waveguides while preserving total routing efficiency. Furthermore, we elucidate the mechanisms of nonreciprocal transport and chiral scattering. The analysis reveals different governing principles: perfect nonreciprocity arises from the interplay of the accumulated phase, local coupling phases, photon-atom detuning, and dipole-dipole interaction. In contrast, perfect chiral scattering depends entirely on the accumulated phase and local coupling phases, and is independent of detuning. Notably, under the phase-matching conditions, the system achieves both perfect chiral and directional routing, and realizes frequency-selective path-asymmetric photon control. These findings provide a comprehensive framework for manipulating quantum interference in multi-atom waveguide systems, highlighting applications in quantum information processing, including tunable single-photon routers, isolators, and chiral quantum nodes. By implementing superconducting circuits, the local phase can be dynamically adjusted, thus proving the feasibility of the experiment.
Abstract We present a theoretical study of controlled single-photon routing in a cavity-quantum electrodynamics system coupled to dual waveguides, where each cavity embedding with a two-level atom mediates photon transport between two channels. The proposed system achieves enhanced routing performance through tailored phase-dependent cavity–waveguide couplings that generate optimized quantum interference patterns. Using a real-space formalism, we derive analytical expressions for single-photon scattering amplitudes and identify optimal conditions for maximum routing efficiency. Our analysis shows that targeted routing with near-unity efficiency can be realized by precisely manipulating both the accumulated phase and differential phase shift, while the atom–cavity coupling strength enables frequency-selective tunability. Furthermore, we demonstrate engineered nonreciprocal transmission and chiral scattering, enabling deterministic control over photonic propagation direction. This phase-tunable protocol establishes a scalable platform for quantum network implementation and enables novel functionalities in photonic quantum information processing.
Abstract We investigate single-photon quantum routing composed of double two-level atoms coupled to two infinite waveguides. By introducing local coupling phases at atom-waveguide connecting points, we engineer asymmetric atom-waveguide interactions, which enables the directional control of photon propagation for achieving high-efficiency quantum routing. Using the real-space approach, we derived exact expressions of the single-photon scattering amplitudes, allowing for a comprehensive analysis of the routing dynamics. For both identical and non-identical atomic configurations, we systematically explored the conditions for achieving perfect photon transfer. Our results demonstrate that complete photon transfer can be realized by precisely tuning the coupling phases, the accumulated phase and atomic frequencies. This work provides a theoretical foundation for developing high-efficiency quantum routers with potential applications in quantum networks and photonic quantum information processing.
We propose a frequency-controllable single-photon router in a giant atom waveguide QED system, in which two linear waveguides are mediately by two coupled giant atoms. Since each giant atom has two coupling points, a pair of giant atoms can be arranged as three different topologies: separated, braided, and nested. The exact analytical expressions of the four scattering amplitudes for the three different topologies are obtained with the real-space approach. We find that the deterministic routing scheme is strongly relevant to the energy and the decay rates of the collective states of the two coupled giant atoms. In particular, only if the two scattering states degenerate in energy and decay rates, the frequency-tunable router with 100% efficiency can be achieved in the three different topologies. Moreover, our numerical results show that the single-photon routing scheme in the current model is more tunable and robust than that in the normal atom waveguide QED system. The physics behind the complete routing scheme is also illuminated. Our results pave the way for the study of controllable single-photon router devices involving giant atoms.