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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…

Nonlinear squeezing is a property of non-Gaussian states of light with an important application in continuous variable quantum computing. We study the generation of nonlinear squeezing in multimode systems produced by the photon-added…

Quantum Physics · Physics 2025-05-15 Vojtěch Kala , Denis Kopylov , Petr Marek , Polina Sharapova

The propagation of ultrafast pulses in dispersion-engineered waveguides, exhibiting strong field confinement in both space and time, is a promising avenue towards single-photon nonlinearities in an all-optical platform. However, quantum…

Quantum Physics · Physics 2023-07-12 Edwin Ng , Ryotatsu Yanagimoto , Marc Jankowski , M. M. Fejer , Hideo Mabuchi

We study the emergence of non-Gaussian quantum features in pulsed squeezed light generation with a mesoscopic number (i.e., dozens to hundreds) of pump photons. Due to the strong optical nonlinearities necessarily involved in this regime,…

In highly nonlinear systems such as the ones commonly found in astrodynamics, Gaussian distributions generally evolve into non-Gaussian distributions. This paper introduces a method for effectively controlling non-Gaussian distributions in…

Systems and Control · Electrical Eng. & Systems 2025-10-16 Daniel C. Qi , Kenshiro Oguri , Puneet Singla , Maruthi R. Akella

We prove that the density operator for the nonlinearly-generated quantum state of light in the $M$ lossy nonorthogonal quasimodes of a nanocavity system has the analytic form of a multimode squeezed thermal state, where the time-dependence…

Quantum Physics · Physics 2023-06-21 Colin Vendromin , Marc M. Dignam

The advent of dispersion-engineered and highly nonlinear nanophotonics is expected to open up an all-optical path towards the strong-interaction regime of quantum optics by combining high transverse field confinement with ultra-short-pulse…

Quantum Physics · Physics 2021-03-09 Ryotatsu Yanagimoto , Edwin Ng , Tatsuhiro Onodera , Hideo Mabuchi

We experimentally demonstrate the conversion of a Gaussian beam to an approximate Bessel-Gauss mode by making use of a non-collinear four-wave mixing process in hot atomic vapor. The presence of a strong, spatially non-Gaussian pump both…

Quantum Physics · Physics 2016-08-05 Onur Danaci , Christian Rios , Ryan T. Glasser

A unified theoretical approach to describe the properties of multimode squeezed light generated in a lossy medium is presented. This approach is valid for Markovian environments and includes both a model of discrete losses based on the…

Quantum Physics · Physics 2025-02-05 Denis A. Kopylov , Torsten Meier , Polina R. Sharapova

We consider the problem of measurement of optical transverse profile parameters and their conjugate variable. Using multi-mode analysis, we introduce the concept of detection noise-modes. For Gaussian beams, displacement and tilt are a pair…

Quantum Physics · Physics 2009-11-11 Vincent Delaubert , Nicolas Treps , Charles C. Harb , Ping Koy Lam , Hans A. Bachor

Nonlinear stochastic motion presents significant challenges for Bayesian particle tracking. To address this challenge, this paper proposes a framework to construct an invertible transformation that maps the nonlinear state-space model (SSM)…

Methodology · Statistics 2026-04-13 Yonatan L. Ashenafi

Methods to decompose nonlinear optical transformation vary from setting to setting, leading to apparent differences in the treatments used to model photon pair sources, compared to those used to model degenerate down-conversion processes.…

Quantum Physics · Physics 2018-11-12 Will McCutcheon

Even though Gaussian quantum states of multimode light are promising quantum resources due to their scalability, non-Gaussianity is indispensable for quantum technologies, in particular to reach quantum computational advantage. However,…

The squeezing in a nonlinear system with chaotic dynamics is considered. The model describing interaction of collection of two-level atoms with a single-mode of self-consistent field and an external field is analyzed. It is shown that in…

Quantum Physics · Physics 2009-10-31 Kirill N. Alekseev

Two-mode nonlinear interaction (second-harmonic and second-subharmonic generation) in a planar waveguide with a small periodic corrugation at the surface is studied. Scattering of the interacting fields on the corrugation leads to…

Quantum Physics · Physics 2009-11-13 Jan Perina , Ondrej Haderka , Concita Sibilia , Mario Bertolotti , Michael Scalora

We investigate how entangled coherent states and superpositions of low intensity coherent states of non-Gaussian nature can be generated via non-resonant interaction between either two linearly or circularly polarized field modes and an…

Quantum Physics · Physics 2009-11-13 R. J. Missori , M. C. de Oliveira , K. Furuya

We demonstrate quantum correlations in the transverse plane of continuous wave light beams by producing -4.0 dB, -2.6 dB and -1.5 dB of squeezing in the TEM00, TEM10 and TEM20 Hermite- Gauss modes with an optical parametric amplifier,…

Quantum optical metrology aims to identify ultimate sensitivity bounds for the estimation of parameters encoded into quantum states of the electromagnetic field. In many practical applications, including imaging, microscopy, and remote…

Quantum Physics · Physics 2023-02-15 Giacomo Sorelli , Manuel Gessner , Nicolas Treps , Mattia Walschaers

As the generation of squeezed states of light has become a standard technique in laboratories, attention is increasingly directed towards adapting the optical parameters of squeezed beams to the specific requirements of individual…

We study the effects of the quantum vacuum on the propagation of a Gaussian laser beam in vacuum. By means of a double perturbative expansion in paraxiality and quantum vacuum terms, we provide analytical expressions for the self-induced…

Optics · Physics 2015-06-23 Angel Paredes , David Novoa , Daniele Tommasini
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