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We study the time evolution of magnetic fields in various configurations of spatially inhomogeneous pseudoscalar fields, which are the coherent superposition of axions. The new induction equation for the magnetic field, which accounts for…

High Energy Physics - Phenomenology · Physics 2024-04-02 Petr Akhmetiev , Maxim Dvornikov

We consider a quantum mechanical model for the high-order harmonic generation in bulk solids. The bandgap is assumed to be considerably larger than the exciting photon energy. Using dipole approximation, the dynamical equations for…

Quantum Physics · Physics 2017-11-09 Viktor Szaszkó-Bogár , Katalin Varjú , Péter Földi

In strong field laser physics it is a common practice to use the high-order harmonic cutoff to estimate the laser intensity of the pulse that generates the harmonic radiation. Based on the semiclassical arguments it is possible to find a…

Atomic Physics · Physics 2015-06-11 T. Shaaran , M. F. Ciappina , M. Lewenstein

A nonlinear Schrodinger equation arising from light propagation down an inhomogeneous medium is considered. The inhomogeneity is reflected through a non-uniform coefficient of the non-linear term in the equation. In particular, a…

Pattern Formation and Solitons · Physics 2015-05-18 R. Marangell , C. K. R. T. Jones , H. Susanto

A periodically inhomogeneous Schrodinger equation is considered. The inhomogeneity is reflected through a non-uniform coefficient of the linear and non-linear term in the equation. Due to the periodic inhomogeneity of the linear term, the…

Pattern Formation and Solitons · Physics 2012-01-16 R. Marangell , H. Susanto , C. K. R. T. Jones

High harmonic generation in solids provides us compact and coherent UV sources. Our simulations illustrate abnormal harmonic yield dependence on the intensity of driving or pre-excitation pulses. A multielectron interference model is…

Optics · Physics 2020-01-01 Ling-Jie Lü , Xue-Bin Bian

Photovoltaic effect of double quantum dots under nonuniform light field intensity has been studied theoretically. Comparing with the traditional p-n type photovoltaic effect, the inhomogeneous light field provides asymmetric potential…

Mesoscale and Nanoscale Physics · Physics 2022-05-23 Wenxi Lai

Based upon the intrinsic symmetries approach to inhomogeneous cosmologies, we propose an exact solution to Einstein's field equations where the spatial sections are flat and the source is a non-perfect fluid such that the dissipative terms…

General Relativity and Quantum Cosmology · Physics 2021-03-11 E. Bittencourt , L. G. Gomes , G. B. Santos

The asymptotic behavior of a one-dimensional spectral problem with periodic coefficient is addressed for high frequency modes by a method of Bloch wave homogenization. The analysis leads to a spectral problem including both microscopic and…

Analysis of PDEs · Mathematics 2013-10-16 Thi Trang Nguyen , Michel Lenczner , Matthieu Brassart

We consider the spectrum of a second-order elliptic operator in divergence form with periodic coefficients, which is known to be completely described by Bloch eigenvalues. We show that under small perturbations of the coefficients, a…

Analysis of PDEs · Mathematics 2019-01-21 Sivaji Ganesh Sista , Vivek Tewary

We study the generation of high harmonic radiation by Bloch electrons in a model transparent solid driven by a strong mid-infrared laser field. We solve the single-electron time-dependent Schr\"odinger equation (TDSE) using a velocity-gauge…

Atomic Physics · Physics 2015-05-20 Mengxi Wu , Shambhu Ghimire , David A. Reis , Kenneth J. Schafer , Mette B. Gaarde

We investigate high-order harmonic generation in inhomogeneous media for reduced dimensionality models. We perform a phase-space analysis, in which we identify specific features caused by the field inhomogeneity. We compute high-order…

Atomic Physics · Physics 2016-05-25 C. Zagoya , M. Bonner , H. Chomet , E. Slade , C. Figueira de Morisson Faria

The optical phase of the driving field in the process of high harmonic generation and the coherence properties of the harmonics are fundamental concepts in attosecond physics. Here, we consider to drive the process by incoherent classical…

Quantum Physics · Physics 2024-09-16 Philipp Stammer

We compute and analyze the dependence of excitonic second- and third-harmonic generation (SHG/THG) as a function of the optical excitation intensity in the presence of static electric fields by solving the semiconductor Bloch equations. Our…

Mesoscale and Nanoscale Physics · Physics 2025-11-10 Ruixin Zuo , Matthias Reichelt , Cong Ngo , Xiaohong Song , Weifeng Yang , Torsten Meier

We investigate the role of inhomogeneous field configurations in systems with a spontaneously broken continuous global symmetry. Spontaneous breaking is usually defined as a specific double limit, first infinite volume at finite explicit…

High Energy Physics - Lattice · Physics 2021-11-03 Gergely Endrődi , Tamás G. Kovács , Gergely Markó

We study numerically the Bloch electron wavepacket dynamics in periodic potentials to simulate laser-solid interactions. We introduce a new perspective in the coordinate space combined with the motion of the Bloch electron wavepackets…

Optics · Physics 2018-01-12 Tao-Yuan Du , Xiao-Huan Huang , Xue-Bin Bian

We study the dynamics of electrons in crystalline solids in the presence of inhomogeneous external electric and magnetic fields. We present a manifestly gauge-invariant operator-based approach without relying on a semiclassical wavepacket…

Mesoscale and Nanoscale Physics · Physics 2025-03-17 Chen Xu , Andreas Haller , Suraj Hegde , Tobias Meng , Thomas L. Schmidt

The expressions for average densities of currents and charges induced by a weak electromagnetic field in spatially inhomogeneous systems are obtained. The case of finite temperatures is considered. It is shown that average values are…

Mesoscale and Nanoscale Physics · Physics 2016-08-31 I. G. Lang , L. I. Korovin , S. T. Pavlov

We consider the solution of a scalar Helmholtz equation where the potential (or index) takes two positive values, one inside a disk of radius $\epsilon$ and another one outside. We derive sharp estimates of the size of the scattered field…

Classical Analysis and ODEs · Mathematics 2018-06-25 Yves Capdeboscq

We present theoretical studies of high-order harmonic generation (HHG) produced by non-homogeneous fields as resulting from the illumination of plasmonic nanostructures with a short laser pulse. We show that both the inhomogeneity of the…

Atomic Physics · Physics 2012-04-27 M. F. Ciappina , J. Biegert , R. Quidant , M. Lewenstein
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