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In this manuscript, we demonstrate the ability of nonlinear light-atom interactions to produce tunably non-Gaussian, partially self-healing optical modes. Gaussian spatial-mode light tuned near to the atomic resonances in hot rubidium vapor…

Multipartite entanglement is an important resource for quantum information processing. It has been shown that it is possible to employ alkali atoms to implement single device multipartite entanglement by using nonlinear processes with…

Quantum Physics · Physics 2025-12-18 H. M. Florez

We present a general, Gaussian spatial mode propagation formalism for describing the generation of higher order multi-spatial-mode beams generated during nonlinear interactions. Furthermore, to implement the theory, we simulate optical…

We investigate mode conversion of $\mathrm{TEM}_{00}$ Gaussian beams upon transmission through planar dielectric interfaces. We show that the angle-dependent Fresnel coefficients act as a spatial filter, inevitably generating higher-order…

Optics · Physics 2026-04-08 Eli Meril

We demonstrate an unseeded, multimode four-wave mixing process in hot $^{85}$Rb 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…

Quantum Physics · Physics 2018-08-01 Erin M. Knutson , Jon D. Swaim , Sara Wyllie , Ryan T. Glasser

We present a general, second quantization procedure for multi-transverse-spatial mode Gaussian beam dynamics in nonlinear interactions. Previous treatments have focused on the spectral density and angular distribution of spatial modes. Here…

Conventional method for Gaussian beam collimation is to expand the beam waist to achieve a smaller divergence angle. Recent transformation optics offers an unconventional path to control the electromagnetic field. In this paper we show that…

Optics · Physics 2013-03-29 Yuancheng Fan , Jin Han , Hongqiang Li

The Bessel-Gaussian modal spectrum, generated in spontaneous parametric down-conversion of a Gaussian pump beam, is considered. This is done by first deriving a general expression for the true probability of detecting specific transverse…

Optics · Physics 2012-01-09 Filippus S. Roux

We describe a method for non-degenerate four-wave mixing in a cold sample of 4-level atoms. An integral part of the four-wave mixing process is a collective instability which spontaneously generates a periodic density modulation in the cold…

Quantum Physics · Physics 2016-09-08 G. R. M. Robb , B. W. J. McNeil

We demonstrate a new four-wave mixing (4WM) geometry based on structured light. By utilizing near-field diffraction through a narrow slit, the pump beam is asymmetrically structured to modify the phase matching condition, generating…

Quantum Physics · Physics 2018-07-04 Jon D. Swaim , Erin M. Knutson , Onur Danaci , Ryan T. Glasser

Studying the conversion between transverse light modes via four-wave mixing in a heated rubidium vapour, we demonstrate and explain a transfer between azimuthal and radial mode numbers. These relate to orthogonal modal dimensions, which one…

Multiphoton processes in dense atomic vapors such as four-wave mixing or coherent blue light generation are typically viewed from single-atom perspective. Here we study the surprisingly important effect of phase matching near two-photon…

Optics · Physics 2017-01-06 Adam Leszczyński , Michał Parniak , Wojciech Wasilewski

In this paper we consider geometrical two-photon optics of Bessel-Gaussian modes generated in spontaneous parametric down-conversion of a Gaussian pump beam. We provide a general theoretical expression for the orbital angular momentum (OAM)…

Quantum Physics · Physics 2016-11-26 Melanie McLaren , Jacquiline Romero , Miles J. Padgett , Filippus S. Roux , Andrew Forbes

Entangled multi-spatial-mode fields have interesting applications in quantum information, such as parallel quantum information protocols, quantum computing, and quantum imaging. We study the use of a nondegenerate four-wave mixing process…

Quantum Physics · Physics 2009-11-13 Raphael C Pooser , Vincent Boyer , Alberto M. Marino , Paul D. Lett

Diffractionless propagation of optical beams through atomic vapors is investigated. The atoms in the vapor are operated in a three-level Raman configuration. A suitably chosen control beam couples to one of the transitions, and thereby…

Quantum Physics · Physics 2015-05-30 T. N. Dey , J. Evers

We study selective upconversion of optical signals according to their detailed transverse electromagnetic modes, and demonstrate its proof of operations in a nonlinear crystal. The mode selectivity is achieved by preparing the pump wave in…

Optics · Physics 2019-01-30 Santosh Kumar , He Zhang , Stephanie Maruca , Yu-Ping Huang

Nonlinear optics has been a very dynamic field of research with spectacular phenomena discovered mainly after the invention of lasers. The combination of high intensity fields with resonant systems has further enhanced the nonlinearity with…

Quantum Physics · Physics 2023-05-24 Quentin Glorieux , Tangui Aladjidi , Paul D Lett , Robin Kaiser

We report on the observation of enhanced four-wave mixing via crossover resonance in a Doppler broadened cesium vapor. Using a single laser frequency, a resonant parametric process in a double-$\Lambda$ level configuration is directly…

Quantum Physics · Physics 2011-07-29 T. Passerat de Silans , C. S. L. Goncalves , D. Felinto , J. W. R. Tabosa

Two different experimental techniques for preparation and analyzing superpositions of the Gaussian and Laguerre-Gassian modes are presented. This is done exploiting an interferometric method on the one hand and using computer generated…

Quantum Physics · Physics 2009-11-07 Alipasha Vaziri , Gregor Weihs , Anton Zeilinger

Linear canonical transformations of bosonic modes correspond to Gaussian unitaries, which comprise passive linear-optical transformations as effected by a multiport passive interferometer and active Bogoliubov transformations as effected by…

Quantum Physics · Physics 2018-12-12 Levon Chakhmakhchyan , Nicolas J. Cerf
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