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Frontiers in Optics

Giant directional preference of quantum matter waves impinging on planar inclusions

Constantinos A. Valagiannopoulos

Published Jan 1, 2020• 0 citations
Publisher

Abstract

Quantum engineering applications have recently attracted huge funding and industrial interest. One basic functionality in corresponding devices is the angular filtering of impinging particle beams, realized here via a quantum Fabry-Perot resonator.
DOI
10.1364/fio.2020.jtu1b.46

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The simple quantum setup of the Fabry-Perot interferometer from optics is found to exhibit very strong directional preference for impinging particle beams. Two types of resonances are identified, the different mechanisms of which are demonstrated through the spatial distribution of wave-function magnitude and probability current. These findings offer additional degrees of freedom when designing architectures for a broad range of quantum engineering applications involving beam tunneling, from e-beam steering to matter-wave filtering and quantum sensing. They also provide a set of limits for the angular selectivity that can be achieved with the considered geometry.
Selecting the quantum signals with respect to features like direction of propagation or impinging energy makes a ubiquitous operation that is employed in a variety of quantum engineering applications. The conditions for optimally selective angular and energy filtering via homogeneous planar inclusions are determined and the derived designs exhibit substantial robustness with respect to fabrication defects. The reported findings may open new uncharted directions towards the efficient design of integrated devices exploiting quantum filtering from sharp sensors and tuners to multiport networks and quantum circuits.
The combination of polarization optics and nonlinear optics gives rise to interesting new physical phenomena1. In the work presented here we will focus on planar resonators with a nonlinearity of diffusive nature, such as the nonlinear Fabry-Perot resonator (NLFP). There are two ways to display the role of polarization in the bistable response of such a device. First, in a configuration where the light wave is obliquely incident on the resonator, as the interface's reflectances depend on the polarization state of the incident light. Second, in a configuration where the beam impinges normally on a resonator now filled with an anisotropic material, as a phase shift is induced between the linear Airy resonances of the two polarization eigenmodes. In this paper, two dynamic theories for planar resonators are presented for both configurations mentioned above, for an arbitrary polarization of the incident plane wave.