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Chinese Physics Letters

Nonlinear Spin–Orbit Interaction of Light in a Cold Rydberg Atom Medium

Lu Qin, Chao Hang, Weibin Li, Xingdong Zhao

Published Apr 13, 2026• 2 citations
Publisher

Abstract

Abstract We demonstrate that a nonlinear spin–orbit interaction (SOI) emerges in cold Rydberg atomic gases, where the orbital characteristics (spatial structure) of light fields become coupled to their polarization (spin). This SOI originates from the giant, spatially inhomogeneous nonlinear optical response arising from the strong, long-range interactions between Rydberg atoms. By extending the theoretical framework beyond the conventional paraxial approximation, we derive a light propagation equation that rigorously incorporates such inhomogeneous nonlinearity. Our study reveals that the SOI is driven by the gradient of the inhomogeneous nonlinear response and therefore vanishes in linear or homogeneous media. When two orthogonal light fields co-propagate, the SOI generates novel nonlinear energy transfer and pronounced structural deformation, which are not captured without considering the SOI or within the paraxial approximation. Furthermore, owing to its direct dependence on the gradient of the nonlocal nonlinearity, the SOI is inherently mode-dependent. As a consequence, the structural deformation becomes particularly significant for light fields with odd parity symmetry. Our investigation establishes novel pathways for exploring the nonlinear SOI and examining inhomogeneous nonlinear optical responses beyond the paraxial approximation in cold Rydberg atomic gases.

DOI
10.1088/0256-307x/43/5/050303

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Abstract We demonstrate that a nonlinear spin–orbit interaction (SOI) emerges in cold Rydberg atomic gases, where the orbital characteristics (spatial structure) of light fields become coupled to their polarization (spin). This SOI originates from the giant, spatially inhomogeneous nonlinear optical response arising from the strong, long-range interactions between Rydberg atoms. By extending the theoretical framework beyond the conventional paraxial approximation, we derive a light propagation equation that rigorously incorporates such inhomogeneous nonlinearity. Our study reveals that the SOI is driven by the gradient of the inhomogeneous nonlinear response and therefore vanishes in linear or homogeneous media. When two orthogonal light fields co-propagate, the SOI generates novel nonlinear energy transfer and pronounced structural deformation, which are not captured without considering the SOI or within the paraxial approximation. Furthermore, owing to its direct dependence on the gradient of the nonlocal nonlinearity, the SOI is inherently mode-dependent. As a consequence, the structural deformation becomes particularly significant for light fields with odd parity symmetry. Our investigation establishes novel pathways for exploring the nonlinear SOI and examining inhomogeneous nonlinear optical responses beyond the paraxial approximation in cold Rydberg atomic gases.
Realizing single light bullets and vortices that are stable in high dimensions is a long-standing goal in the study of nonlinear optical physics. On the other hand, the storage and retrieval of such stable high dimensional optical pulses may offer a variety of applications. Here we present a scheme to generate such optical pulses in a cold Rydberg atomic gas. By virtue of electromagnetically induced transparency, strong, long-range atom-atom interaction in Rydberg states is mapped to light fields, resulting in a giant, fast-responding nonlocal Kerr nonlinearity and the formation of light bullets and vortices carrying orbital angular momenta, which have extremely low generation power, very slow propagation velocity, and can stably propagate, with the stability provided by the combination of local and the nonlocal Kerr nonlinearities. We demonstrate that the light bullets and vortices obtained can be stored and retrieved in the system with high efficiency and fidelity. Our study provides a new route for manipulating high-dimensional nonlinear optical processes via the controlled optical nonlinearities in cold Rydberg gases.
Abstract Rydberg atoms, characterized by their giant polarizability and strong long-range interactions, provide an ideal platform for exploring optical nonlinearities. By coupling light to ensembles of Rydberg atoms, one can map the strong and nonlocal interactions between Rydberg atoms and light fields. A particularly important scheme for realizing such nonlinearity is electromagnetically induced transparency (EIT). This article presents a review of the research progress in nonlinear optics based on Rydberg-EIT systems, particularly nonlinear light propagation in Rydberg atomic gases. We first introduce the fundamental properties of Rydberg atoms and the physical mechanism of EIT-enhanced nonlinearity, emphasizing how the Rydberg blockade effect endows the system with a giant nonlocal Kerr nonlinearity. Subsequently, we discuss some typical nonlinear optical phenomena in such a system with focusing and defocusing nonlocal nonlinearities. In the focusing regime, we discuss spatial solitons, vortex solitons, soliton cloning, soliton molecules, optical bullets, and self-induced transparency solitons. Other topics are also discussed. In the defocusing regime, we analyze pattern formation and shock wave dynamics. Finally, we provide an outlook on the future development of this field toward quantum control, hybrid-system integration, and novel functional devices.
Spin-orbit interactions (SOIs) of light are manifestations of coupling between components of light's angular momentum. They are at play in most basic optical processes, offering opportunities both to understand their fundamental origin and to control light in novel ways. Because SOIs become significant at subwavelength scale, they have largely been explored in the context of inhomogeneous materials exhibiting wavelength-scale structures, and notably metamaterials. Here we demonstrate that spin-orbit interactions can in fact analogously emerge in moving matter through the well-known light-dragging effects. SOIs in moving media are shown to manifest through a Berry phase induced by vorticity, which then leads to a rotation of the wave's polarization. In bringing together electrodynamics of moving media and SOIs of light, our work not only paves the way for the discovery of new fundamental effects but also uncovers novel means to harness SOIs to control light.
We investigate the Kerr and magneto-optical effects for a probe laser field with two orthogonally polarized components, propagating in a cold Rydberg atomic gas with an inverted-Y\mathsf{Y}Y-type level configuration via double electromagnetically induced transparency (EIT). Through an approach beyond both mean-field and ground-state approximations, we make detailed calculations on third-order nonlinear optical susceptibilities and show that the system possesses giant nonlocal self- and cross-Kerr nonlinearities contributed by Rydberg-Rydberg interaction. The theoretical result of the cross-Kerr nonlinearity obtained for 85Rb^{85}\mathrm{Rb}85Rb atomic gas is very close to the experimental one reported recently. Moreover, we demonstrate that the probe laser field can acquire a very large magneto-optical rotation via the double EIT, which may be used to design atomic magnetometers with high precision. The results presented here are promising not only for the development of nonlocal nonlinear magneto-optics but also for applications in precision measurement and optical information processing and transmission based on Rydberg atomic gases.
Abstract We explore the spin–orbit coupling (SOC) mechanism for structured light in coherent atomic media with low-light-level cross-Kerr nonlinearity. Using the five-level M-type electromagnetic induced transparency (EIT) system as a prototype, we show that spin–orbit splitting for a weak spinor image can be generated by a weak trigger field carrying orbital angular momentum (OAM) at low-light intensity. By quantum-optical analogy, the paraxial focusing and defocusing of the two pseudo-spin states in the spinor image can be governed by a Pauli-like equation. More importantly, by changing the EIT parameters, especially the topological charge of the weak trigger field, the SOC-induced radial quantization of the spinor image can be rather significant, giving rise to positive or negative OAM-OAM mode separation in free space. This suggests that the separation can be flexibly controlled due to strong image-vortex interaction based on few-photon cross-Kerr modulation. Our findings may have the potential for all-optical OAM multiplexing and demultiplexing of structured light fields toward few-photon quantum control and multimode communication.
Abstract We present a theoretical study demonstrating that the photonic spin Hall effect (PSHE) can be both actively tuned and greatly amplified by exploiting the nonlocal, nonlinear optical response of a strongly interacting Rydberg gas operating under electromagnetically induced transparency. Rather than relying on fixed phase metasurfaces or conventional Kerr materials, long range interactions between Rydberg atoms create a spatially extended, intensity dependent refractive index profile that enables dynamic spin resolved beam deflection. In a glass–Rydberg–glass trilayer model, we show that the PSHE displacement can be varied smoothly in magnitude and even reversed in sign by adjusting atomic density, probe intensity, laser detunings, and interaction strength. This nonlocal nonlinearity transforms the typically weak PSHE into a macroscopically observable and dynamically controllable effect. Our results establish a versatile platform for reconfigurable spin-dependent photonic control, with potential applications in high-sensitivity optical metrology, spin-based beam steering, and tunable quantum-optical information processing.