Bloch oscillations in complex crystals with PT symmetry

TL;DR

This paper explores Bloch oscillations in complex PT-symmetric lattices, revealing unique phenomena like non-reciprocal oscillations and violations of classical scattering laws, with implications for optical systems.

Contribution

It introduces the study of Bloch oscillations in PT-symmetric complex lattices, highlighting novel dynamical effects absent in traditional lattices.

Findings

Discovery of non-reciprocal Bloch oscillations

Identification of violation of Friedel's law in complex potentials

Potential applications in optical photonic devices

Abstract

Bloch oscillations (BO) in complex lattices with PT symmetry are theoretically investigated with specific reference to optical BO in photonic lattices with gain/loss regions. Novel dynamical phenomena with no counterpart in ordinary lattices, such as non-reciprocal BO related to violation of the Friedel's law of Bragg scattering in complex potentials, are highlighted.