Hyperbolic Metamaterials with Bragg Polaritons

Abstract

We propose a novel mechanism for designing quantum hyperbolic metamaterials with the use of semiconductor Bragg mirrors containing periodically arranged quantum wells. The hyperbolic dispersion of exciton-polariton modes is realized near the top of the first allowed photonic miniband in such a structure which leads to the formation of exciton-polariton X waves. Exciton-light coupling provides a resonant nonlinearity which leads to nontrivial topologic solutions. We predict the formation of low amplitude spatially localized oscillatory structures: oscillons described by kink shaped solutions of the effective Ginzburg-Landau-Higgs equation. The oscillons have direct analogies in gravitational theory. We discuss implementation of exciton-polariton Higgs fields for the Schrödinger cat state generation.

Control of propagation of spatially localized polariton wave packets in a Bragg mirror with embedded quantum wells

“…2.55 [5]. The second photonic band is convex that provides anomalous dispersion even in the center of the 1st BZ.…”

“…Recently it has been shown that the modified Bragg mirror structures can act as hyperbolic dispersion materials for Bragg polaritons [5][6][7]. The effects of reduction of the group velocity and the strong negative refraction have been predicted in them.…”

“…The structure under consideration has been first proposed in [5,6]. It represents a 1D binary photonic crystal composed of alternating semiconductor layers of two types, A and B.…”

“…To reveal its dispersion properties, we follow the references [5][6][7] and use the convenient transfer matrix method [13]. Figure 2a demonstrates dispersions of the three lower photon eigenmodes of the infinite 1D photonic crystal.…”

Numerical modeling of exciton–polariton Bose–Einstein condensate in a microcavity

“…Additionally, they can form localized nondiffracting X-waves [15,16] which could be used for transferring a classical signal between elements in the circuits. Thus, polaritonics is regarded as a future of new photonic-electronic devices, which will be capable of processing information at a rate of terabits per second and frequencies in the range 100 GHz-10 THz [17].…”