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

Physical Review A

Laguerre-Gaussian optical sum-sideband generation via orbital angular momentum exchange

Hao Xiong, Yamin Huang, Ying Wu

Published Apr 5, 2021• 26 citations
Publisher

Abstract

Laguerre-Gaussian optical sum-sideband generation via orbital angular momentum exchange has been studied analytically beyond the linearized approach. We obtain the analytical expression for the amplitudes of these signals within the semiclassical approximation. The pump power dependence of Laguerre-Gaussian sum-sideband generation is discussed, and we find that Laguerre-Gaussian sum-sideband generation can be remarkable even at low power through the satisfaction of matching conditions. The matching conditions for Laguerre-Gaussian sum-sideband generation in an optorotational system are discussed and summarized in detail, and the physical interpretation of matching conditions is discussed. The role of the topological charge value $l$ on the sum-sideband generation is studied, which exhibits a saturation effect for the peak value of the normalized amplitude and consequently limits further improvement of the Laguerre-Gaussian sum-sideband generation. Our results may find applications in Laguerre-Gaussian optical frequency comb and communications and provide a potential method for the determination of the orbital angular momentum of light fields with high topological charges.

DOI
10.1103/physreva.103.043506

Related papers

Angular momentum transfer in interaction of Laguerre-Gaussian beams with atoms and molecules

Pradip Kumar Mondal, Bimalendu Deb, Sonjoy Majumder

The exchange of orbital angular momentum between a Laguerre-Gaussian beam of light and the center-of-mass motion of an atom or molecule is well known. We show that the orbital angular momentum of light can also be transferred to the internal electronic or rotational motion of an atom or a molecule provided the internal and center-of-mass motions are coupled. However, this transfer does not happen directly to the internal motion, but via center-of-mass motion. If atoms or molecules are cooled down to the recoil limit, then an exchange of angular momentum between the quantized center-of-mass motion and the internal motion is possible during the interaction of cold atoms or molecules with the Laguerre-Gaussian beam. The orientation of the exchanged angular momentum is determined by the sign of the winding number of the Laguerre-Gaussian beam. We present selective results of numerical calculations for the quadrupole transition rates in the interaction of the Laguerre-Gaussian beam with an atomic Bose-Einstein condensate to illustrate the underlying mechanism of light orbital angular momentum transfer. We discuss how the alignment of diatomic molecules will facilitate exploration of the effects of light orbital angular momentum on the electronic motion of molecules.

arXiv:1403.2881•Physical Review A•Jun 26, 2014•92 citations

Coherent transfer of orbital angular momentum from an atomic system to a light field

Daisuke Akamatsu, Mikio Kozuma

We generated orbital angular momentum in atoms with a spin degree of freedom and coherently transferred it to a light field, which resulted in the generation of a Laguerre-Gaussian (LG) beam. In this method, atoms obtain orbital angular momentum through Larmor precession around the quadrupole field. Successive operations of quadrupole and homogeneous magnetic fields lead to a change of sign in the LG beam or even generation of superposition states of the LG beam with different indexes in real time. Possible applications to control orbital angular momentum of arbitrary photons are also discussed.

Physical Review A•Feb 6, 2003•43 citations

Photon Blockade in a Laguerre–Gaussian Optorotational System with Cross-Kerr Nonlinearity

Ke-Dong Liu, Tai-Shuang Yin, Aixi Chen

We explore the generation of photon blockade effect in a Laguerre–Gaussian optorotational system where a Gaussian beam exchanges orbital angular momentum with a rotating spiral phase mirror. In addition to the typical optorotational coupling, we consider the existence of cross-Kerr nonlinearity between the cavity mode and the rotating mirror. We investigate the statistical characteristics of photons by numerically and analytically calculating the second-order correlation function. In particular, we find that the antibunching effect of photons is dominated by the cooperative operation between the optorotational coupling and the cross-Kerr coupling instead of any individual part. The optimal single photon blockade can be achieved in a moderate coupling regime and enhanced due to the presence of cross-Kerr nonlinearity. The dependence of photon blockade effect on the different system parameters is discussed in detail. Our work provides an alternative way to manipulate the photon quantum behaviors in Laguerre–Gaussian optorotational systems, which may find potential applications in quantum information processing and optical communication utilizing the optical orbital angular momentum.

Photonics•Jul 30, 2026•0 citations

Spatially dependent optical bistability

Seyed Morteza Mousavi, Zahra Amini Sabegh, Reza Kheradmand +1 more

The effect of the orbital angular momentum (OAM) of light beams on the optical bistability (OB) phenomenon has been investigated in a three-level quantum system. In a first step, we consider a Λ -type configuration in which the coupling field is assumed as a Laguerre–Gaussian (LG) beam. It is shown that the OB strength spatially depends on the intensity profile as well as the topological charge (TC) of the light beam. In a second scheme, we apply a strong microwave field to the lower level transition and obtain an analytical expression for the OB behavior of the probe field in the presence of an LG field in the multi-photon resonance condition. We analytically obtain a generalized input–output bistability relation for the systems containing the LG beam. More complicated phase-dependent OB profiles can be obtained for higher order LG modes due to the OAM transfer and classical interference between the generated field and applied fields. The results of this paper may provide a potential application of OB in generating simultaneously reconfigurable sets of various optical logic gates in the same structure, as well as in enhancing the capacity of fast volatile bit-level optical memories.

Journal of the Optical Society of America B•Apr 25, 2022•4 citations

Generation and engineering of orbital angular momentum biphotons in optical fibers

Xiao Liu, Daniel I. Shahar, Dong Beom Kim +2 more

In the realm of quantum information processing, harnessing high-dimensional photonic systems provides a pathway to overcome limitations of traditional two-level systems. Orbital angular momentum (OAM) of light has emerged as a powerful tool for creating and manipulating high-dimensional entanglement, promising increased information capacity and enhanced security in quantum communication protocols. However, conventional methods like spontaneous parametric downconversion encounter challenges due to non-uniform production rates of Laguerre–Gaussian modes. This study explores the potential of spontaneous four-wave mixing in ring-core fibers (RCFs) as a viable platform for generating OAM photon pairs with tailored spectral and spatial properties. We show that by controlling the topological charge of pump photons, correlated, uncorrelated, and anti-correlated photon pairs can be engineered across arbitrary spectral ranges, essential for diverse quantum applications. Experimental noise characterization of the RCF-based source demonstrates a high coincidence-to-accidental ratio exceeding 4000, and a low heralded second-order correlation function ( g H (2) <0.005), which confirms its operation well into the single-photon regime. This work demonstrates the potential of RCFs as a versatile platform for generating structured photon pairs, paving the way for future high-dimensional quantum communication and information processing applications.

Optica Quantum•May 29, 2025•5 citations

Generating squeezed vacuum field with nonzero orbital angular momentum with atomic ensembles

M. Zhang, Joseph Soultanis, Irina V. Novikova +1 more

We demonstrated that by using a pump field with nonzero orbital angular momentum (OAM) in the polarization self-rotation squeezing process it is possible to generate a squeezed vacuum optical field with the matching OAM. We found a similar level of maximum quantum noise reduction for a first-order Laguerre-Gaussian pump beam and a regular Gaussian pump beam, even though the optimal operational conditions differed in these two cases. Also, we investigated the effect of self-defocusing on the level of the vacuum squeezing by simultaneously monitoring the minimum quantum noise level and the output beam transverse profile at various pump laser powers and atomic densities and found no direct correlations between the increased beam size and the degree of measured squeezing.

arXiv:1310.5594•Optics Letters•Nov 12, 2013•8 citations
Laguerre-Gaussian optical sum-sideband generation via orbital angular momentum exchange has been studied analytically beyond the linearized approach. We obtain the analytical expression for the amplitudes of these signals within the semiclassical approximation. The pump power dependence of Laguerre-Gaussian sum-sideband generation is discussed, and we find that Laguerre-Gaussian sum-sideband generation can be remarkable even at low power through the satisfaction of matching conditions. The matching conditions for Laguerre-Gaussian sum-sideband generation in an optorotational system are discussed and summarized in detail, and the physical interpretation of matching conditions is discussed. The role of the topological charge value lll on the sum-sideband generation is studied, which exhibits a saturation effect for the peak value of the normalized amplitude and consequently limits further improvement of the Laguerre-Gaussian sum-sideband generation. Our results may find applications in Laguerre-Gaussian optical frequency comb and communications and provide a potential method for the determination of the orbital angular momentum of light fields with high topological charges.
The exchange of orbital angular momentum between a Laguerre-Gaussian beam of light and the center-of-mass motion of an atom or molecule is well known. We show that the orbital angular momentum of light can also be transferred to the internal electronic or rotational motion of an atom or a molecule provided the internal and center-of-mass motions are coupled. However, this transfer does not happen directly to the internal motion, but via center-of-mass motion. If atoms or molecules are cooled down to the recoil limit, then an exchange of angular momentum between the quantized center-of-mass motion and the internal motion is possible during the interaction of cold atoms or molecules with the Laguerre-Gaussian beam. The orientation of the exchanged angular momentum is determined by the sign of the winding number of the Laguerre-Gaussian beam. We present selective results of numerical calculations for the quadrupole transition rates in the interaction of the Laguerre-Gaussian beam with an atomic Bose-Einstein condensate to illustrate the underlying mechanism of light orbital angular momentum transfer. We discuss how the alignment of diatomic molecules will facilitate exploration of the effects of light orbital angular momentum on the electronic motion of molecules.
We generated orbital angular momentum in atoms with a spin degree of freedom and coherently transferred it to a light field, which resulted in the generation of a Laguerre-Gaussian (LG) beam. In this method, atoms obtain orbital angular momentum through Larmor precession around the quadrupole field. Successive operations of quadrupole and homogeneous magnetic fields lead to a change of sign in the LG beam or even generation of superposition states of the LG beam with different indexes in real time. Possible applications to control orbital angular momentum of arbitrary photons are also discussed.
We explore the generation of photon blockade effect in a Laguerre–Gaussian optorotational system where a Gaussian beam exchanges orbital angular momentum with a rotating spiral phase mirror. In addition to the typical optorotational coupling, we consider the existence of cross-Kerr nonlinearity between the cavity mode and the rotating mirror. We investigate the statistical characteristics of photons by numerically and analytically calculating the second-order correlation function. In particular, we find that the antibunching effect of photons is dominated by the cooperative operation between the optorotational coupling and the cross-Kerr coupling instead of any individual part. The optimal single photon blockade can be achieved in a moderate coupling regime and enhanced due to the presence of cross-Kerr nonlinearity. The dependence of photon blockade effect on the different system parameters is discussed in detail. Our work provides an alternative way to manipulate the photon quantum behaviors in Laguerre–Gaussian optorotational systems, which may find potential applications in quantum information processing and optical communication utilizing the optical orbital angular momentum.
The effect of the orbital angular momentum (OAM) of light beams on the optical bistability (OB) phenomenon has been investigated in a three-level quantum system. In a first step, we consider a Λ -type configuration in which the coupling field is assumed as a Laguerre–Gaussian (LG) beam. It is shown that the OB strength spatially depends on the intensity profile as well as the topological charge (TC) of the light beam. In a second scheme, we apply a strong microwave field to the lower level transition and obtain an analytical expression for the OB behavior of the probe field in the presence of an LG field in the multi-photon resonance condition. We analytically obtain a generalized input–output bistability relation for the systems containing the LG beam. More complicated phase-dependent OB profiles can be obtained for higher order LG modes due to the OAM transfer and classical interference between the generated field and applied fields. The results of this paper may provide a potential application of OB in generating simultaneously reconfigurable sets of various optical logic gates in the same structure, as well as in enhancing the capacity of fast volatile bit-level optical memories.
In the realm of quantum information processing, harnessing high-dimensional photonic systems provides a pathway to overcome limitations of traditional two-level systems. Orbital angular momentum (OAM) of light has emerged as a powerful tool for creating and manipulating high-dimensional entanglement, promising increased information capacity and enhanced security in quantum communication protocols. However, conventional methods like spontaneous parametric downconversion encounter challenges due to non-uniform production rates of Laguerre–Gaussian modes. This study explores the potential of spontaneous four-wave mixing in ring-core fibers (RCFs) as a viable platform for generating OAM photon pairs with tailored spectral and spatial properties. We show that by controlling the topological charge of pump photons, correlated, uncorrelated, and anti-correlated photon pairs can be engineered across arbitrary spectral ranges, essential for diverse quantum applications. Experimental noise characterization of the RCF-based source demonstrates a high coincidence-to-accidental ratio exceeding 4000, and a low heralded second-order correlation function ( g H (2) <0.005), which confirms its operation well into the single-photon regime. This work demonstrates the potential of RCFs as a versatile platform for generating structured photon pairs, paving the way for future high-dimensional quantum communication and information processing applications.
We demonstrated that by using a pump field with nonzero orbital angular momentum (OAM) in the polarization self-rotation squeezing process it is possible to generate a squeezed vacuum optical field with the matching OAM. We found a similar level of maximum quantum noise reduction for a first-order Laguerre-Gaussian pump beam and a regular Gaussian pump beam, even though the optimal operational conditions differed in these two cases. Also, we investigated the effect of self-defocusing on the level of the vacuum squeezing by simultaneously monitoring the minimum quantum noise level and the output beam transverse profile at various pump laser powers and atomic densities and found no direct correlations between the increased beam size and the degree of measured squeezing.