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Frontiers of Physics

Spatial phase controlled symmetric and asymmetric photoinduced lattice in an atomic ensemble

Muhua Zhai, Wen Feng, Zhaotian Sun, Shaowei Zhang, Yang Lei, Zhenkun Wu, Jiani Li, Zhihao Tong, Boning Wen, Minghui Zhang, Y Zhang, Hongxing Wang

Published Jan 1, 2026• 1 citation
Publisher

Abstract

Two-dimensional (2D) photoinduced lattices in atomic ensembles constitute an ideal platform for the systematic investigation of light−matter interactions and controllable diffraction phenomena. Nevertheless, existing research efforts have primarily concentrated on fixed or symmetric lattice configurations, resulting in insufficient exploration of asymmetric diffraction behaviors. Herein, we theoretically propose a 2D phase-controllable photoinduced lattice, which is constructed by overlapping two identical sublattices with independently tunable spatial phases within an atomic ensemble. Spatial phase difference between the two sublattices can be controlled directly by tuning the initial phase of the lattice-forming beams, eliminating the need for complex optical path designs and tedious system optimization. We demonstrate that the absorption, dispersion, and transmission properties of the proposed lattice can be dynamically tuned via photon detuning, leading to the generation of both amplitude- and phase-type lattices. Notably, the amplitude-type lattices exhibit insensitivity to phase variations, whereas the phase-type lattices demonstrate remarkable phase-dependent energy transfer effects and pronounced directional asymmetry. Specifically, a one-dimensional (1D) spatial phase difference between the two identical sublattices induces stripe-like modulation, whereas a 2D spatial phase difference yields reconfigurable anisotropic 2D modulation patterns. Furthermore, we demonstrate that the combined modulation of detuning and spatial phase difference induces periodic asymmetric oscillations in diffraction energy, enabling precisely controllable asymmetric distribution of diffraction. Our work establishes a comprehensive theoretical framework for phase-driven asymmetric diffraction in photoinduced lattices and provides an effective strategy for the development of dynamically reconfigurable all-optical nonreciprocal photonic devices.

DOI
10.15302/frontphys.2026.092202

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Two-dimensional (2D) photoinduced lattices in atomic ensembles constitute an ideal platform for the systematic investigation of light−matter interactions and controllable diffraction phenomena. Nevertheless, existing research efforts have primarily concentrated on fixed or symmetric lattice configurations, resulting in insufficient exploration of asymmetric diffraction behaviors. Herein, we theoretically propose a 2D phase-controllable photoinduced lattice, which is constructed by overlapping two identical sublattices with independently tunable spatial phases within an atomic ensemble. Spatial phase difference between the two sublattices can be controlled directly by tuning the initial phase of the lattice-forming beams, eliminating the need for complex optical path designs and tedious system optimization. We demonstrate that the absorption, dispersion, and transmission properties of the proposed lattice can be dynamically tuned via photon detuning, leading to the generation of both amplitude- and phase-type lattices. Notably, the amplitude-type lattices exhibit insensitivity to phase variations, whereas the phase-type lattices demonstrate remarkable phase-dependent energy transfer effects and pronounced directional asymmetry. Specifically, a one-dimensional (1D) spatial phase difference between the two identical sublattices induces stripe-like modulation, whereas a 2D spatial phase difference yields reconfigurable anisotropic 2D modulation patterns. Furthermore, we demonstrate that the combined modulation of detuning and spatial phase difference induces periodic asymmetric oscillations in diffraction energy, enabling precisely controllable asymmetric distribution of diffraction. Our work establishes a comprehensive theoretical framework for phase-driven asymmetric diffraction in photoinduced lattices and provides an effective strategy for the development of dynamically reconfigurable all-optical nonreciprocal photonic devices.
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Abstract Artificial periodic structures (APS) with controllable optical properties are highly demanded in all‐optical devices and circuits in communication networks. However, APS realized in solid materials are usually non‐tunable and inherently possess immutable photonic bandgap. In this article, a novel honeycomb lattice in an atomic ensemble by utilizing the multi‐beam interference method is reported. Unlike the honeycomb lattice formed in solid materials, the optical properties of this photoinduced honeycomb lattice, such as the absorption/dispersion coefficients and the photonic bandgap can be efficiently tuned by two‐photon detuning and Rabi frequency, resulting in both amplitude‐ and phase‐ type honeycomb lattice. Based on the two‐photon quantum‐imaging method, the near‐field diffraction of the honeycomb lattice is also investigated. It is found that the resolution of the diffraction pattern is tunable by simply adjusting the manner of the two detectors scanning across the imaging beams. In addition, the contrast of the pattern can be greatly enhanced by tuning the optical properties of the lattice. Such an optical honeycomb lattice with tunable properties could find applications in all‐optical switching at the few photons level and paves the way for the generation and manipulation of optical topological insulators.
The diffraction pattern of a two-dimensional optically induced atomic lattice is reported experimentally in a three-level atomic system. Such a two-dimensional optical lattice is established by two orthogonal standing-wave fields induced by the interference of two pairs of coupling laser beams. When the probe beam is launched into it, a spatially modulated discrete diffraction pattern can be obtained at the output plane of the vapor cell under the electromagnetically induced transparency condition. We investigate the diffraction pattern under different experimental parameters and find that it can be effectively controlled by tuning the coupling laser power and two-photon detuning. Our work may potentially pave the way for studying the control of light and other intriguing physical phenomena based on such a periodically modulated atomic lattice.
Cold atoms trapped in one-dimensional optical lattices and driven to the four-level N configuration are exploited for achieving an electromagnetically induced grating with parity-time-symmetry. This nontrivial grating exhibits unidirectional diffraction patterns, e.g., with incident probe photons diffracted into either negative or positive angles, depending on the sign relation between spatially modulated absorption and dispersion coefficients. Such asymmetric light diffraction is a result of the out-of-phase interplay of amplitude and phase modulations of transmission function and can be easily tuned via optical depth, probe detuning, pump Rabi frequencies, etc.
Abstract In this letter, we propose a novel nonlinear optomechanical system for generating a two-dimensional (2D) optical grating. The system comprises a Fabry–Pérot cavity with a fixed mirror, movable end mirror, degenerate optical parametric amplifier (OPA), and ensemble of identical two-level atoms. By applying a 2D asymmetric standing wave as the driving field, the probe light can be diffracted in the x - and y -directions with different intensities, leading to an asymmetric optomechanically induced grating. The amplitude and phase modulations of the output probe light and the resulting Fraunhofer diffraction patterns were investigated. The results show that the atomic ensemble plays a crucial role in controlling the efficiency and asymmetry of 2D gratings. We demonstrate that by tuning the nonlinear gain of the OPA and higher-order excitations of the atoms, the transparency of the medium can be enhanced, leading to greater transmission of probe energy and transfer to higher diffraction orders. The proposed system offers a novel approach for generating asymmetric 2D optical gratings in optomechanical devices with potential applications in quantum information science.
Rb) atomic ensemble with a non-Hermitian optical structure, in which a lopsided optical diffraction grating can be realized just with the combination of single spatially periodic modulation and loop-phase. Parity-time (PT) symmetric and parity-time antisymmetric (APT) modulation can be switched by adjusting different relative phases of the applied beams. Both PT symmetry and PT antisymmetry in our system are robust to the amplitudes of coupling fields, which allows optical response to be modulated precisely without symmetry breaking. Our scheme shows some nontrivial optical properties, such as lopsided diffraction, single-order diffraction, asymmetric Dammam-like diffraction, etc. Our work will benefit the development of versatile non-Hermitian/asymmetric optical devices.