Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Results in Physics

Nonlinear Talbot effect in electromagnetically induced optical lattice

Ruibo Ru, Huangjie Li, Sannv Zhang, Hao Pang, Churong Pan, Haixia Chen, Dong Wei, Hong Gao, Fuli Li

Published Apr 24, 2024• 4 citations
Publisher

Abstract

The nonlinear Talbot effect means formation of self-imaging of the periodic structure by utilizing the harmonic wave instead of the fundamental one. Electromagnetically induced optical lattices established in atomic ensembles by optical induction technique have received great attention in recent years. Here, we experimentally demonstrate the nonlinear four wave mixing (FWM) Talbot effect in the Rubidium medium, where the third-order susceptibility χ(3) has periodic distribution due to the modulation from the incident pump light. Two kinds of periodic structure, the square lattice and hexagonal lattice, are employed to investigate the nonlinear FWM Talbot effect. The integer and fractional Talbot images produced by the FWM field are all obtained. The experimental results are qualitatively consistent with theoretical simulations. Different from the self-imaging of the refractive index in the linear optics, the FWM Talbot effect is the self-imaging of the periodic χ(3). The results may offer a high-resolution lensless way for imaging various optical periodic structures.

DOI
10.1016/j.rinp.2024.107697

Related papers

Observation of electromagnetically induced Talbot effect in an atomic system

Zhaoyang Zhang, Xing Liu, Dan Zhang +4 more

The electromagnetically induced Talbot effect (EITE) resulting from the repeated self-reconstruction of a spatially intensity-modulated probe field is experimentally demonstrated in a three-level atomic configuration. The probe beam is launched into an optically induced lattice (established by the interference of two coupling fields) inside a rubidium vapor cell and is diffracted by the electromagnetically induced grating that was formed. The diffraction pattern repeats itself at the planes of integer multiple Talbot lengths. In addition, a fractional EITE is also investigated. The experimental observations agree well with the theoretical predictions. This investigation may potentially pave the way for studying the nonlinear and quantum dynamical features that have been predicted for established periodic optical systems.

arXiv:1608.00298•Physical Review A•Jan 3, 2018•43 citations

Nonlinear optical induced lattice in atomic configurations

Sijia Hui, Feng Wen, Xiaojun Yu +5 more

Traditional artificial lattice with untunable refractive index have been restricted to flexible applied to kinds of micro medium imaging. This study proposes a novel approach to quantifying lattice using nonlinear optically induced periodic lattice, which possesses a striking feature of tunable refractive index, to further broaden current knowledge of optical imaging equipment. We conduct self-dressed and dual-dressed nonlinear four-wave mixing (FWM) signal modulation in the atoms by using the dressing effect of standing waves, and then investigate the space amplitude modulation and synthetization (amplitude and phase) modulation of the electromagnetic induced lattice (EIL) of FWM signal at the atom surface. The EIL presented in the far-field diffraction region confirms that diffraction intensity of the FWM signal can be easily transformed from zero-order to higher-order based on the dispersion effects. The tunable EIL with ultra-fast diffraction energy change can contribute to a better understanding of nonlinear process and provides a further step toward developing two-dimensional nonlinear atomic higher-resolution.

Scientific Reports•Aug 7, 2020•4 citations

Integer and fractional electromagnetically induced Talbot effects in a ladder-type coherent atomic system

Jinpeng Yuan, Chaohua Wu, Yihong Li +4 more

ladder-type system. By launching a probe laser into a periodically modulated lattice constructed by two crossed coupling fields with a small angle inside the rubidium vapor, a high-resolution diffraction pattern is obtained. The diffraction pattern is reproduced completely at detection positions of an integer multiple of twice the Talbot lengths. Meanwhile, the fractional Talbot effect, presented as complicated subimages at special positions, is also clearly observed. Furthermore, the theoretical simulations are conducted and agree well with the experimental results. These results pave the way for studying the control of light dynamics based on the periodically modulated medium.

Optics Express•Jan 2, 2019•27 citations

Talbot effect of an electromagnetically induced square photonic lattice assisted by a spatial light modulator

Shaohuan Ning, Jinxian Lu, Shun Ke Liang +4 more

We demonstrate the Talbot effect of an electromagnetically induced square photonic lattice formed under the electromagnetically induced transparency (EIT) condition both experimentally and theoretically in a three-level 85 R b atomic configuration. The two-dimensional lattice patterns result from the diffraction of a Gaussian probe field traveling through the vapor cell, in which the refractive index is modulated by a coupling field with a two-dimensional periodic intensity distribution generated by a spatial light modulator. The experimental observations are consistent with the theoretical predictions. This investigation not only provides a new avenue for producing desired electromagnetically induced photonic lattices beyond the commonly adopted multi-beam interfering method but also broadens studies of electromagnetically induced Talbot effect to two-dimensional space.

Optics Letters•Sep 15, 2021•18 citations

Electromagnetically induced angular Talbot effect

Tianhui Qiu, Guojian Yang

Abstract The discrete angular spectrum (angular Talbot effect) of a periodic grating illuminated by a suitable spherical wave front has been observed recently (Azaña and Chatellus 2104 Phys. Rev. Lett. 112 213902 ). In this paper we study the possibility of such a phenomenon being realized with a medium that has no macroperiodic structure itself. Tunable electromagnetically induced grating (EIG) could be such a kind of medium. We obtain an EIG based on the periodically modulated strong susceptibility due to the third-order nonlinear effect generated in a double Λ-type four-level atomic system, and show the angular Talbot effect of an amplitude EIG, as well as a hybrid EIG, as the condition of the discrete phase-modulation shift of the illumination light front is satisfied. EIG parameters are tunable and the EIG-based angular Talbot effect may have the same potential applications as its periodic grating counterpart has.

Journal of Physics B Atomic Molecular and Optical Physics•Oct 28, 2015•7 citations

Spatial tailoring of four-wave mixing via optically induced nonlinear and linear gratings in atomic vapors

YUTONG SHEN, Guobin Liu, Rui Zhuang +5 more

Spatial discrete control of the light field has long been regarded as a fascinating and prominent area in optics. Here, we propose two distinct approaches to spatially manipulate the four-wave mixing (FWM) signal by introducing a one-dimensional standing wave into its nonlinear generation and linear propagation dynamics. The FWM is generated by two pump fields and one reference field in an atomic vapor. First, we encode the standing-wave pattern into one pump field and successfully transfer its periodic distribution to the FWM signal. The spatially distributed pump field can modulate the third-order nonlinearity in a discrete manner and induce an equivalent nonlinear amplitude grating, which discretely diffracts the generated FWM signal within a rather wide frequency tuning range. In addition, we also established a linear refractive index grating with the assistance of electromagnetically induced transparency (EIT) by employing the same standing wave to modulate the Gaussian FWM signal in a cascaded atomic configuration. Owing to the instantaneously adjustable EIT condition, we have both theoretically and experimentally demonstrated the sensitive inversion on the bright and dark fringes of the discretized FWM signal by inverting the sign of the two-photon detuning. This work opens opportunities for engineering nonlinear optical effects through optically induced reconfigurable gratings.

Journal of the Optical Society of America B•Jan 30, 2026•0 citations
The nonlinear Talbot effect means formation of self-imaging of the periodic structure by utilizing the harmonic wave instead of the fundamental one. Electromagnetically induced optical lattices established in atomic ensembles by optical induction technique have received great attention in recent years. Here, we experimentally demonstrate the nonlinear four wave mixing (FWM) Talbot effect in the Rubidium medium, where the third-order susceptibility χ(3) has periodic distribution due to the modulation from the incident pump light. Two kinds of periodic structure, the square lattice and hexagonal lattice, are employed to investigate the nonlinear FWM Talbot effect. The integer and fractional Talbot images produced by the FWM field are all obtained. The experimental results are qualitatively consistent with theoretical simulations. Different from the self-imaging of the refractive index in the linear optics, the FWM Talbot effect is the self-imaging of the periodic χ(3). The results may offer a high-resolution lensless way for imaging various optical periodic structures.
The electromagnetically induced Talbot effect (EITE) resulting from the repeated self-reconstruction of a spatially intensity-modulated probe field is experimentally demonstrated in a three-level atomic configuration. The probe beam is launched into an optically induced lattice (established by the interference of two coupling fields) inside a rubidium vapor cell and is diffracted by the electromagnetically induced grating that was formed. The diffraction pattern repeats itself at the planes of integer multiple Talbot lengths. In addition, a fractional EITE is also investigated. The experimental observations agree well with the theoretical predictions. This investigation may potentially pave the way for studying the nonlinear and quantum dynamical features that have been predicted for established periodic optical systems.
Traditional artificial lattice with untunable refractive index have been restricted to flexible applied to kinds of micro medium imaging. This study proposes a novel approach to quantifying lattice using nonlinear optically induced periodic lattice, which possesses a striking feature of tunable refractive index, to further broaden current knowledge of optical imaging equipment. We conduct self-dressed and dual-dressed nonlinear four-wave mixing (FWM) signal modulation in the atoms by using the dressing effect of standing waves, and then investigate the space amplitude modulation and synthetization (amplitude and phase) modulation of the electromagnetic induced lattice (EIL) of FWM signal at the atom surface. The EIL presented in the far-field diffraction region confirms that diffraction intensity of the FWM signal can be easily transformed from zero-order to higher-order based on the dispersion effects. The tunable EIL with ultra-fast diffraction energy change can contribute to a better understanding of nonlinear process and provides a further step toward developing two-dimensional nonlinear atomic higher-resolution.
ladder-type system. By launching a probe laser into a periodically modulated lattice constructed by two crossed coupling fields with a small angle inside the rubidium vapor, a high-resolution diffraction pattern is obtained. The diffraction pattern is reproduced completely at detection positions of an integer multiple of twice the Talbot lengths. Meanwhile, the fractional Talbot effect, presented as complicated subimages at special positions, is also clearly observed. Furthermore, the theoretical simulations are conducted and agree well with the experimental results. These results pave the way for studying the control of light dynamics based on the periodically modulated medium.
We demonstrate the Talbot effect of an electromagnetically induced square photonic lattice formed under the electromagnetically induced transparency (EIT) condition both experimentally and theoretically in a three-level 85 R b atomic configuration. The two-dimensional lattice patterns result from the diffraction of a Gaussian probe field traveling through the vapor cell, in which the refractive index is modulated by a coupling field with a two-dimensional periodic intensity distribution generated by a spatial light modulator. The experimental observations are consistent with the theoretical predictions. This investigation not only provides a new avenue for producing desired electromagnetically induced photonic lattices beyond the commonly adopted multi-beam interfering method but also broadens studies of electromagnetically induced Talbot effect to two-dimensional space.
Abstract The discrete angular spectrum (angular Talbot effect) of a periodic grating illuminated by a suitable spherical wave front has been observed recently (Azaña and Chatellus 2104 Phys. Rev. Lett. 112 213902 ). In this paper we study the possibility of such a phenomenon being realized with a medium that has no macroperiodic structure itself. Tunable electromagnetically induced grating (EIG) could be such a kind of medium. We obtain an EIG based on the periodically modulated strong susceptibility due to the third-order nonlinear effect generated in a double Λ-type four-level atomic system, and show the angular Talbot effect of an amplitude EIG, as well as a hybrid EIG, as the condition of the discrete phase-modulation shift of the illumination light front is satisfied. EIG parameters are tunable and the EIG-based angular Talbot effect may have the same potential applications as its periodic grating counterpart has.
Spatial discrete control of the light field has long been regarded as a fascinating and prominent area in optics. Here, we propose two distinct approaches to spatially manipulate the four-wave mixing (FWM) signal by introducing a one-dimensional standing wave into its nonlinear generation and linear propagation dynamics. The FWM is generated by two pump fields and one reference field in an atomic vapor. First, we encode the standing-wave pattern into one pump field and successfully transfer its periodic distribution to the FWM signal. The spatially distributed pump field can modulate the third-order nonlinearity in a discrete manner and induce an equivalent nonlinear amplitude grating, which discretely diffracts the generated FWM signal within a rather wide frequency tuning range. In addition, we also established a linear refractive index grating with the assistance of electromagnetically induced transparency (EIT) by employing the same standing wave to modulate the Gaussian FWM signal in a cascaded atomic configuration. Owing to the instantaneously adjustable EIT condition, we have both theoretically and experimentally demonstrated the sensitive inversion on the bright and dark fringes of the discretized FWM signal by inverting the sign of the two-photon detuning. This work opens opportunities for engineering nonlinear optical effects through optically induced reconfigurable gratings.