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Optics Continuum

Multiple phase-matched resonant four-wave mixing processes in a single hot 133Cs vapor cell via a spatially structured two-beam pump

Dan Wang, Yao Zhang, Mengyu Bian, Jianli Liu, Lianghui Huang, Haitao Zhou, Junxiang Zhang

Published Apr 23, 2025• 3 citations
Publisher

Abstract

We demonstrate a seeded resonant multi-four-wave-mixing process in a single hot 133Cs vapor cell. These coexisting four-wave mixing interactions work on three different transition circles and give rise to the generation of four bright resonant output beams. We examine the pump detuning, pump power, and atom temperature dependence of the gain of output modes, and give a theoretical prediction on quadripartite entanglement. This provides significant insight into multimode entanglement of light very close to atomic resonance. Additionally, the orbital angular momentum of the pump beam is transferred as expected into the four generated beams. It’s proven to be a feasible method for designing a 2 × 2 vortex beam array.

DOI
10.1364/optcon.551395

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We demonstrate a seeded resonant multi-four-wave-mixing process in a single hot 133Cs vapor cell. These coexisting four-wave mixing interactions work on three different transition circles and give rise to the generation of four bright resonant output beams. We examine the pump detuning, pump power, and atom temperature dependence of the gain of output modes, and give a theoretical prediction on quadripartite entanglement. This provides significant insight into multimode entanglement of light very close to atomic resonance. Additionally, the orbital angular momentum of the pump beam is transferred as expected into the four generated beams. It’s proven to be a feasible method for designing a 2 × 2 vortex beam array.
Multichannel vortex beams serve as an essential physical source for enabling multi-spot laser processing and high-dimensional spatial multiplexing communications. We demonstrate a compact, flexibly tunable multichannel vortex beam generator using spatially structured bidirectional two-color pump vortex four-wave mixing in a single 133Cs vapor cell. To enhance spatial multiplexing, both sides of the cell are utilized. By engineering the propagation directions and frequencies of five input beams, we establish a nonlinear interaction region that supports 16 concurrent phase-matching conditions, thereby enabling the parallel generation of up to eight vortex channels. The orbital angular momentum of the output beams follows deterministic algebraic rules, allowing for programmable control via tailored input orbital angular momentum combinations. Moreover, the channel count can be linearly tuned by selectively deactivating pumps—each switched-off pump reduces the number of output channels by two. This flexible control over orbital angular momentum states, together with channel count and spatial arrangement, establishes a highly integrated platform for on-demand vortex generation. This work highlights the potential of spatially bidirectional structured pumping in atomic vapor to expand optical dimensionality and enhance multiplexing capacity, paving the way toward multidimensional communications, quantum networks, and integrated photonics.
We demonstrate an unseeded multimode four-wave-mixing process in hot 85Rb^{85}\mathrm{Rb}85Rb vapor using two pump beams of the same frequency that cross at a small angle. This results in the simultaneous fulfillment of multiple phase-matching conditions that reinforce one another to produce four intensity-stabilized bright output modes at two different frequencies. Each generated photon is directly correlated to exactly two others, resulting in the preferred four-mode output, in contrast to other multimode four-wave-mixing experiments. This provides significant insight into the optimal configuration of the output multimode squeezed and entangled states generated in such four-wave-mixing systems. We examine the power, temperature, and frequency dependence of this output and compare it to the conical four-wave-mixing emission from a single pump beam. The generated beams are spatially separated, allowing a natural distribution for potential use in quantum communication and secret-sharing protocols.
Detuning Tunable OAM Generation via Double-ΛΛΛ Four-Wave Mixing in Hot Rubidium Vapor
We demonstrate detuning-tunable generation of orbital-angular-momentum (OAM) light using a double Lambda four-wave-mixing (FWM) process in Doppler broadened rubidium vapor. Two near-resonant pumps on the D1 line drive non degenerate FWM that produces bright probe conjugate beams whose transverse modes evolve with pump detuning. A paraxial density-matrix model coupled to split-step propagation predicts detuning-dependent spatial gain shaping that sets the OAM content; experiments with a mode cleaned pump laser and a 12-mm AR-coated vapor cell validate these predictions. We quantify mode formation by imaging, spectroscopy, and power measurements, and verify OAM conservation between the generated beams. The results establish resonant atomic vapor as a compact, tunable platform for structured-light generation with applications to high-dimensional quantum communications and imaging.
Airy vortex beams, which integrate orbital angular momentum with diffraction-resistant and self-accelerating characteristics of Airy beams, offer unique capabilities for high-capacity optical communication and high-resolution imaging. Here, we experimentally demonstrate the generation and manipulation of frequency-converted Airy vortex beams through four-wave mixing in hot Rb vapor. A 780 nm vortex beam and a 776 nm two-dimensional Airy beam coherently participate in the four-wave mixing process, generating a 420 nm output beam that combines the orbital angular momentum of the vortex beam with the spatial structure of the Airy beam. The generated beam exhibits pronounced quasi-nondiffracting propagation and self-acceleration, with an intensity decay rate reduced by a factor of ∼1.88 relative to the input vortex beam and a transverse acceleration ∼1.84 times that of the input Airy beam. Moreover, both the intensity and the spatial profile of the generated beam are flexibly manipulated by varying the Rb vapor temperature and the pump beam power. This work provides a versatile approach for generating and controlling structured light at what we believe are new wavelengths, opening opportunities for short-wavelength optical manipulation and optical information processing.
Multimode quantum states, such as multipartite quantum entanglement or quantum correlations, are important for both fundamental science and the future development of quantum technologies. Here we theoretically propose and experimentally realize a scheme that can fully exploit the multi-spatial-mode nature of the four-wave-mixing (FWM) process, i.e., spatial multiplexing, and thus integrates multiple FWM processes into a single cell at each stage of the cascaded process. The number of generated quantum-correlated beams 2n{2}^{n}2n is exponentially dependent on the number of vapor cells nnn. In addition, the quantum correlations between the multiple beams also increase as the number of vapor cell increases. For the case of n=2n=2n=2, we experimentally show that the degree of intensity-difference squeezing between the four quantum-correlated beams in our scheme is enhanced to $\ensuremath{-}8.2\ifmmode\pm\else\textpm\fi{}0.2$ dB from $\ensuremath{-}5.6\ifmmode\pm\else\textpm\fi{}0.3$ and $\ensuremath{-}6.5\ifmmode\pm\else\textpm\fi{}0.2$ dB of squeezing obtained with a single FWM process. Our system may find applications in quantum information and precision measurement.
We present experimental results on the generation of multi-spatial-mode, single-beam, quadrature squeezed light using four-wave mixing in hot Rb vapor. Squeezing and phase-sensitive deamplification are observed over a range of powers and detunings near the (85)Rb D1 atomic transition. We observe -3 dB of vacuum quadrature squeezing, comparable to the best single-spatial mode results previously reported using atomic vapors, however, produced here in multiple spatial modes. We confirm that the squeezing is present in more than one transverse mode by studying the spatial distribution of the noise properties of the field.