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The impact of stochasticity effects (SEs) in photon emissions on the proton energy spectra during laser-plasma interaction is theoretically investigated in the quantum radiation-dominated regime, which may facilitate SEs experimental…

We extend the idea of quantum phase transitions of light in the photonic Bose-Hubbard model with interactions to two atomic species by a self-consistent mean field theory. The excitation of two-level atoms interacting with coherent photon…

Quantum Physics · Physics 2015-05-18 Soi-Chan Lei , Tai-Kai Ng , Ray-Kuang Lee

The energy-based stochastic extension of the Schrodinger equation is a rather special nonlinear stochastic differential equation on Hilbert space, involving a single free parameter, that has been shown to be very useful for modelling the…

Quantum Physics · Physics 2009-11-07 Dorje C. Brody , Lane P. Hughston

We study the dynamics of initial nucleation processes of photoinduced structural change of molecular crystals. In order to describe the nonadiabatic transition in each molecule, we employ a model of localized electrons coupled with a fully…

Materials Science · Physics 2009-11-13 Kunio Ishida , Keiichiro Nasu

A stochastic theory is developed for the light transmitting the optical media exhibiting linear and nonlinear birefringence. The starting point is the two--component nonlinear Schr{"o}dinger equation (NLSE). On the basis of the ansatz of…

Statistical Mechanics · Physics 2018-05-15 Satoshi Tsuchida , Hiroshi Kuratsuji

In this theoretical paper, we investigate coherence properties of the near-resonant light scattered by two atoms exposed to a strong monochromatic field. To properly incorporate saturation effects, we use a quantum Langevin approach. In…

Quantum Physics · Physics 2016-08-24 Benoît Grémaud , Thomas Wellens , Dominique Delande , Christian Miniatura

Schrodinger path to the quantum mechanical wave equation was heuristic and guided more by physical intuition than formal deduction. Here we derive the Schrodinger equation for the particle wave function, assuming that it has a meaning of…

Quantum Physics · Physics 2026-04-23 Wenzhuo Zhang , Anatoly Svidzinsky

The two-dimensional cubic nonlinear Schr\"{o}dinger equation is used to describe the propagation of an intense laser beam through a medium with Kerr nonlinearity. The coupled two-dimensional cubic nonlinear Schr\"{o}dinger equations are…

Mathematical Physics · Physics 2008-07-01 Xiaoping Xu

A complete solution to the long standing problem of basing Schroedinger quantum theory on standard stochastic theory is given. The solution covers all "single" particle three-dimensional Schroedinger theory linear or nonlinear and with any…

Quantum Physics · Physics 2007-05-23 J. G. Gilson

A number of non-Markovian stochastic Schr\"odinger equations, ranging from the numerically exact hierarchical form towards a series of perturbative expressions sequentially presented in an ascending degrees of approximations are revisited…

Chemical Physics · Physics 2018-08-08 Yuchen Wang , Yaling Ke , Yi Zhao

Electromagnetic sources, as e.g. lasers, antennas, diffusers or thermal sources, produce a wavefield that interacts with objects to transfer them its momentum. We show that the photonic force exerted on a small particle in the near field of…

Optics · Physics 2012-01-31 Juan Miguel Aunon , Manuel Nieto-Vesperinas

We introduce the quantum stochastic differential equation (QSDE) approach to exactly analyze of the response of quantum systems to a continuous-mode two-photon input. The QSDE description of the two-photon process allows us to integrate the…

Quantum Physics · Physics 2016-03-07 Yu Pan , Daoyi Dong , Guofeng Zhang

We analytically describe the strong-field light-electron interaction using a quantized coherent laser state with arbitrary photon number. We obtain a light-electron wave function which is a closed-form solution of the time-dependent…

Atomic Physics · Physics 2017-03-20 I. A. Gonoskov , N. Tsatrafyllis , I. K. Kominis , P. Tzallas

Motivated by the Einstein classical description of the matter-radiation dynamics we revise a dynamical system producing spikes of the photon emission. Then we study the corresponding stochastic model, which takes into account the randomness…

Probability · Mathematics 2018-03-28 E. Pechersky , A. Yambartsev , V. Zagrebnov

This paper identifies certain interesting mathematical problems of stochastic quantization type in the modeling of Laser propagation through turbulent media. In some of the typical physical contexts the problem reduces to stochastic…

Analysis of PDEs · Mathematics 2023-01-03 Sivaguru S. Sritharan , Saba Mudaliar

We study the effect of stimulated photon emission from the vacuum in strong space-time-dependent electromagnetic fields. We emphasize the viewpoint that the vacuum subjected to macroscopic electromagnetic fields with at least one nonzero…

High Energy Physics - Phenomenology · Physics 2016-03-15 Felix Karbstein , Rashid Shaisultanov

A new mathematical model for the description of three electron quantum dots in 2D space is created, and ground states of this system in external magnetic field is investigated. The Schrodinger equation for three two-dimensional electrons is…

Mathematical Physics · Physics 2007-10-20 Lia Leon Margolin , Shalva Tsiklauri

Multi-photon lasing has been realized in systems with strong nonlinear interactions between emitters and cavity modes, where single-photon processes are suppressed. Coherence between the internal states of a quantum emitter, or among…

Quantum Physics · Physics 2025-12-16 Lavakumar Addepalli

Strong field photoemission and electron recollision provide a viable route to extract electronic and nuclear dynamics from molecular targets with attosecond temporal resolution. However, since an {\em ab-initio} treatment of even the…

Atomic Physics · Physics 2016-11-02 N. Suárez , A. Chacón , M. F. Ciappina , B. Wolter , J. Biegert , M. Lewenstein

By analyzing ``exact'' theoretical results from solving the time-dependent Schr\"odinger equation of atoms in few-cycle laser pulses, we established the general conclusion that differential elastic scattering and photo-recombination cross…

Atomic Physics · Physics 2008-04-04 Toru Morishita , Anh-Thu Le , Zhangjin Chen , C. D. Lin
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