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We extend our recently developed semiclassical strong-field Herman-Kluk propagator (SFHK) method to calculate high-order harmonic generation (HHG) for atoms in intense lasers. We show that our method, based on a combination of the…

Atomic Physics · Physics 2026-01-27 Phi-Hung Tran , Hao Quan Truong , R. Esteban Goetz , Anh-Thu Le

The Wigner-Smith (WS) time delay matrix relates an acoustic system's scattering matrix to its wavenumber derivative. The entries of the WS time delay matrix can be expressed in terms of energy density-like volume integrals, which cannot be…

Computational Engineering, Finance, and Science · Computer Science 2022-05-26 Utkarsh R. Patel , Yiqian Mao , Jack Hamel , Eric Michielssen

The splitting of photons in the presence of an intense magnetic field has recently found astrophysical applications in polar cap models of gamma-ray pulsars and in magnetar scenarios for soft gamma repeaters. Numerical computation of the…

Astrophysics · Physics 2009-10-30 Matthew G. Baring , Alice K. Harding

We study the Schwinger pair production in confining theories. The production rate in an external electric field E is numerically evaluated by using the holographic description. There exist two kinds of critical values of the electric field,…

High Energy Physics - Theory · Physics 2014-06-03 Daisuke Kawai , Yoshiki Sato , Kentaroh Yoshida

Calculations of reaction rates for the third-order QED process of photon splitting in strong magnetic fields traditionally have employed either the effective Lagrangian method or variants of Schwinger's proper-time technique. Recently,…

High Energy Physics - Theory · Physics 2009-10-31 Matthew G. Baring

We consider a coupled system of Schr\"odinger equations, arising in quantum mechanics via the so-called time-dependent self-consistent field method. Using Wigner transformation techniques we study the corresponding classical limit dynamics…

Analysis of PDEs · Mathematics 2014-06-17 Shi Jin , Christof Sparber , Zhennan Zhou

To unequivocally distinguish genuine quantumness from classicality, a widely adopted approach focuses on the negative values of a quasi-distribution representation as compelling evidence of nonclassicality. Prominent examples include the…

Quantum Physics · Physics 2024-11-18 Hong-Bin Chen , Cheng-Hua Liu , Kuan-Lun Lai , Bor-Yann Tseng , Ping-Yuan Lo , Yueh-Nan Chen , Chi-Hua Yu

Electron-positron pair production from vacuum in external electric fields with space and time dependencies is studied numerically using real time Dirac-Heisenberg-Wigner formalism. The influence of spatial focusing scale of the electric…

High Energy Physics - Phenomenology · Physics 2019-07-17 Mamutjan Ababekri , Bai-Song Xie , Jun Zhang

Schwinger pair production in some of space-dependent electromagnetic fields is studied analytically by using worldline instantons formalism for scalar quantum electrodynamics. With the increase of the modified Keldysh parameter…

High Energy Physics - Phenomenology · Physics 2022-10-26 Orkash Amat , Li-Na Hu , Adiljan Sawut , Melike Mohamedsedik , M. A. Bake , B. S. Xie

The method of passive imaging in seismology has been developped recently in order to image the earth crust from recordings of the seismic noise. This method is founded on the computation of correlations of the seismic noise. In this paper,…

Mathematical Physics · Physics 2017-08-23 Yves Colin De Verdière

The applicability of the so-called truncated Wigner approximation (-W) is extended to multitime averages of Heisenberg field operators. This task splits naturally in two. Firstly, what class of multitime averages the -W approximates, and,…

Statistical Mechanics · Physics 2009-09-30 B. Berg , L. I. Plimak , A. Polkovnikov , M. K. Olsen , M. Fleischhauer , W. P. Schleich

We introduce the Wigner functional representing a quantum field in terms of the field amplitudes and their conjugate momenta. The equation of motion for the functional of a scalar field point out the relevance of solutions of the classical…

High Energy Physics - Theory · Physics 2010-11-01 S. Mrowczynski , B. Mueller

We study the electron-positron pair production process in strong background electric fields with spatio-temporal inhomogeneity in the time-dependent Basis Light-front Quantization approach. We calculate the observables such as the invariant…

High Energy Physics - Phenomenology · Physics 2022-01-06 Zhiyu Lei , Bolun Hu , Xingbo Zhao

We study Schwinger pair production in scalar QED from a uniform electric field in dS_2 with scalar curvature R_{dS} = 2 H^2 and in AdS_2 with R_{AdS} = - 2 K^2. With suitable boundary conditions, we find that the pair-production rate is the…

High Energy Physics - Theory · Physics 2009-11-13 Sang Pyo Kim , Don N. Page

Parametrization of cascading hadronic reactions is a central tool in hadron spectroscopy for modeling matrix elements and extracting parameters of hadronic states. Implementing the helicity formalism consistently presents challenges,…

High Energy Physics - Phenomenology · Physics 2025-06-12 Kai Habermann , Mikhail Mikhasenko

We compute the discharging rate of a uniform electric field due to Schwinger pair production in $(1+1)$-dimensional scalar electrodynamics with a compact dimension of radius $R$. Our calculation is performed in real time, using the in-in…

High Energy Physics - Theory · Physics 2020-08-19 Yue Qiu , Lorenzo Sorbo

We study quantum quenches in the $S=1$ Heisenberg spin chain and show that the dynamics can be described by the recently developed semi-semiclassical method based on particles propagating along classical trajectories but scattering quantum…

Statistical Mechanics · Physics 2019-07-10 Miklós Antal Werner , Cătălin Paşcu Moca , Örs Legeza , Márton Kormos , Gergely Zaránd

The process of pair creation by a photon in a strong magnetic field is investigated basing on the polarization operator in the field. The total probability of the process is found in a relatively simple form. The probability exhibits a…

High Energy Physics - Phenomenology · Physics 2008-11-26 V. N. Baier , V. M. Katkov

A quantum kinetic equation is derived for the description of pair production in a time-dependent homogeneous electric field $E(t)$. As a source term, the Schwinger mechanism for particle creation is incorporated. Possible particle…

High Energy Physics - Phenomenology · Physics 2015-06-25 S. Schmidt , D. Blaschke , G. Röpke , S. A. Smolyansky , A. V. Prozorkevich , V. D. Toneev

This paper contains a brief sketch of some methods that can be used to obtain the Wigner function for a number of systems. We give an overview of the technique as it is applied to some simple differential systems related to diffusion…

Quantum Physics · Physics 2023-06-05 P. G. Morrison