Qubit Lattice Algorithm Simulations of Maxwell's Equations for Scattering from Anisotropic Dielectric Objects

Two Dimensional Electromagnetic Scattering form Dielectric Objects using Qubit Lattice Algorithm

A qubit lattice algorithm (QLA) is developed for Maxwell equations in a two-dimensional Cartesian geometry. In particular, the initial value problem of electromagnetic pulse scattering off a localized 2D dielectric object is considered. A matrix formulation of the Maxwell equations, using the Riemann-Silberstein-Weber vectors, forms a basis for the QLA and a possible unitary representation. The electromagnetic fields are discretized using a 16-qubit representation at each grid point. The discretized QLA equations reproduce Maxwell equations to second order in an appropriate expansion parameter…

Transversal electric conductivity and dielectric function in quantum Maxwell collisional plasma

Formulas for transversal conductance and dielectric permeability (dielectric function) in quantum Maxwell collisional plasma are deduced. The kinetic equation with collision integral in the form relaxation type is used.

Unitary Quantum Lattice Simulations for Maxwell Equations in Vacuum and in Dielectric Media

Utilizing the similarity between the spinor representation of the Dirac equation and the Maxwell equations that has been recognized since the early days of relativistic quantum mechanics, a quantum lattice (QLA) representation of unitary collision stream operators of Maxwell equations is derived for both homogeneous and inhomogeneous media. A second order accurate 4 spinor scheme is developed and tested successfully for two dimensional (2D) propagation of a Gaussian pulse in a uniform medium while for normal (1D) incidence of an electromagnetic Gaussian pulse onto a dielectric interface requir…

The effect of the width of the incident pulse to the dielectric transition layer in the scattering of an electromagnetic pulse -- a quantum lattice algorithm simulation

The effect of the thickness of the dielectric boundary layer that connects a material of refractive index $n_1$ to another of index $n_2$ is considered for the propagation of an electromagnetic pulse. For very thin boundary layer the scattering properties of the pulse mimics that found from the Fresnel jump conditions for a plane wave - except that the transmission to incident amplitudes are augmented by a factor of $\sqrt{n_2/n_1}$. As the boundary layer becomes thicker one finds deviations away from the Fresnel conditions and eventually one approaches WKB propagation. However there is found …

张量介质电介质中 Maxwell 方程的 Dyson 映射与幺正演化

Dyson Maps and Unitary Evolution for Maxwell Equations in Tensor Dielectric Media

本文将非均匀各向异性无源无色散介质中的 Maxwell 方程改写为赝厄米 Dirac 型方程，并通过 Dyson 映射在扩展 Hilbert 空间中恢复幺正演化，为复杂介质及等离子体电磁波的 QC 模拟提供基础。

具有任意回旋速度分布的等离子体介电响应

The Dielectric Response of Plasmas with Arbitrary Gyrotropic Velocity Distributions

针对高温稀薄等离子体远偏离平衡、需精密计算介电响应的问题，研究更新了alps数值工具，采用多项式基的改进解析延拓方法，验证了不同VDF下色散关系解的连续性并评估了VDF结构的影响。