منابع مشابه
Quantum waveguides with corners
The simplest modeling of planar quantum waveguides is the Dirichlet eigenproblem for the Laplace operator in unbounded open sets which are uniformly thin in one direction. Here we consider V-shaped guides. Their spectral properties depend essentially on a sole parameter, the opening of the V. The free energy band is a semi-infinite interval bounded from below. As soon as the V is not flat, ther...
متن کاملPlane waveguides with corners in the small angle limit
ABSTRACT. The plane waveguides with corners considered here are infinite V-shaped strips with constant thickness. They are parametrized by their sole opening angle. We study the eigenpairs of the Dirichlet Laplacian in such domains when this angle tends to 0. We provide multi-scale asymptotics for eigenpairs associated with the lowest eigenvalues. For this, we investigate the eigenpairs of a on...
متن کاملQuantum Random Walks Circuits with Photonic Waveguides
Arrays of 21 evanescently coupled waveguides are fabricated to implement quantum random walks and a generalized form of two-photon non-classical interference, which was observed via two photon correlation. Keywords-component; quantum optics; waveguides; quantum computing; quantum random walks.
متن کاملEigenvalues for Waveguides Containing Re-Entrant Corners by a Finite-Element Method with Superelements
Superelements have been developed to enable the finite-element method to be used for computing accurate eigenvalues of the Laplacian over domains containing re-entrant corners of arbitrary angle. A truncated asymptotic expansion of the solution is employed in the region of the corner, and linear blending is used over the remainder of the superelement to provide a smooth transition to piecewise ...
متن کاملNumerical Simulation of Quantum Waveguides
Abstract. This chapter is a review of the research of the authors from the last decade and focuses on the mathematical analysis of the Schrödinger model for nano–scale semiconductor devices. We discuss transparent boundary conditions (TBCs) for the time–dependent Schrödinger equation on a two dimensional domain. First we derive the two dimensional discrete TBCs in conjunction with a conservativ...
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ژورنال
عنوان ژورنال: ESAIM: Proceedings
سال: 2012
ISSN: 1270-900X
DOI: 10.1051/proc/201235002