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We consider the generalized Langevin equation (GLE) in a harmonic potential with power law decay memory. We study the anomalous diffusion of the particle's displacement and velocity. By comparison with the free particle situation in which…

Probability · Mathematics 2023-08-02 Gustavo Didier , Hung D. Nguyen

Resonant dispersive wave (RDW) emission in gas-filled hollow waveguides is a powerful technique for the generation of bright few-femtosecond laser pulses from the vacuum ultraviolet to the near infrared. Here we investigate deep-ultraviolet…

Optics · Physics 2020-08-24 Christian Brahms , Federico Belli , John C. Travers

The linear and nonlinear pulse propagations in lifetime-broadened three-state media with spontaneously generated coherence (SGC) are investigated theoretically. Three generic systems of V-, $\Lambda$-, and $\Xi$-type level configurations…

Optics · Physics 2012-12-27 Chao Hang , Guoxiang Huang

Uchaikin suggested a mathematical model of an anomalous diffusion in a space was suggested. This model origins in an investigation of processes in complex systems with variable structure: glasses, liquid crystals, biopolymers, proteins and…

Probability · Mathematics 2007-05-23 G. Sh. Tsitsiashvili , A. E. Yashin

Cylindrical vector beams (CVBs), which possesses polarization distribution of rotational symmetry on the transverse plane, can be developed in many optical technologies. Conventional methods to generate CVBs contain redundant…

Optics · Physics 2022-01-11 J. Jia , K. Zhang , G. Hu , M. Hu , T. Tong , Q. Mu , H. Gao , F. Li , C. Qiu , P. Zhang

Radio pulsars emit regular bursts of radio radiation that propagate through the interstellar medium (ISM), the tenuous gas and plasma between the stars. Previously known dispersive properties of the ISM cause low frequency pulses to be…

Astrophysics of Galaxies · Physics 2014-11-20 F. A. Jenet , D. Fleckenstein , A. Ford , A. Garcia , R. Miller , J. Rivera , K. Stovall

We present a simple yet effective theory that predicts the existence of resonant radiation bands in the deep normal group velocity dispersion region of a medium, even in absence of a zero-group velocity dispersion point. This radiation is…

The temporal Talbot effect refers to the periodic revivals of a pulse train propagating in a dispersive medium, and is a temporal analog of the spatial Talbot effect with group-velocity dispersion in time replacing diffraction in space.…

Optics · Physics 2021-07-07 Layton A. Hall , Sergey A. Ponomarenko , Ayman F. Abouraddy

We study the propagation of a Laguerre-Gaussian (LG) beam through a dispersive atomic medium. We restrict ourselves to applying a weak probe field and three strong coupling fields to the medium, which leads to developing a four-level double…

Optics · Physics 2020-07-23 Zahra Amini Sabegh , Mohammad Mahmoudi

This study investigates the propagation of an ultrafast laser pulse through a liquid medium. A femtosecond laser oscillator with a pulse duration of less than 8 fs is used. By conducting experiments with coumarin and fluorescein dyes in…

It is typically assumed that the fluctuations associated with a stationary broadband incoherent field propagate in free space at the speed of light in vacuum c. Here we introduce the concept of 'coherence group velocity', which -- in…

Optics · Physics 2021-02-02 Murat Yessenov , Ayman F. Abouraddy

We introduce a homogenization approach to characterize the dynamical response of a generic dispersive spacetime crystal in the long-wavelength limit. The theory is applied to dispersive spacetime platforms with a travelling-wave modulation.…

Optics · Physics 2023-07-26 João C. Serra , Mário G. Silveirinha

Vacuum polarisation in QED in a background gravitational field induces interactions which effectively violate the strong equivalence principle and affect the propagation of light. In the low frequency limit, Drummond and Hathrell have shown…

General Relativity and Quantum Cosmology · Physics 2009-11-07 G. M. Shore

Off-shell effects in generalized parton distributions (GPDs) of the pion, appearing, e.g., in the Sullivan process, are considered. Due to the lack of crossing symmetry, the moments of GPDs involve also odd powers of the skewness…

High Energy Physics - Phenomenology · Physics 2023-03-31 Wojciech Broniowski , Vanamali Shastry , Enrique Ruiz Arriola

While recent advances in generative latent spaces have driven substantial progress in single-image generation, the optimal latent space for novel view synthesis (NVS) remains largely unexplored. In particular, NVS requires geometrically…

Computer Vision and Pattern Recognition · Computer Science 2026-03-24 Wooseok Jang , Seonghu Jeon , Jisang Han , Jinhyeok Choi , Minkyung Kwon , Seungryong Kim , Saining Xie , Sainan Liu

We propose a computational method to simulate anomalous self-diffusion in a simple liquid. The method is based on a molecular dynamics simulation on which we impose the following two conditions: firstly, the inter-particle interaction is…

Statistical Mechanics · Physics 2010-04-07 Simon Standaert , Jan Ryckebusch , Lesley De Cruz

In positive phase-mismatched SHG and normal dispersion, a gaussian spatio-temporal pulse transforms spontaneously into a X-pulse, underlies spatio-temporal compression and eventually leads to stationary 3-D propagation. Experimental and…

Using a theoretical model describing pulse shapes, we have clarified the relations between the observed pulses and their corresponding timescales, such as the angular spreading time, the dynamic time as well as the cooling time. We find…

Astrophysics · Physics 2008-11-26 Zhibin Zhang , G. Z. Xie , J. G. Deng , B. T. Wei

Non dispersive electronic Rydberg wave packets may be created in atoms illuminated by a microwave field of circular polarization. We discuss the spontaneous emission from such states and show that the elastic incoherent component (occuring…

Quantum Physics · Physics 2009-10-31 Dominique Delande , Jakub Zakrzewski

We assume the spacetime foam picture in which vacuum is filled with virtual wormholes. In the presence of an external field the distribution of wormholes changes. We consider an anisotropic distribution of wormholes and analyze its relation…

General Relativity and Quantum Cosmology · Physics 2016-06-14 E. P. Savelova
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