PT-symmetry enabled stable modes in multi-core fiber
Abstract
Open systems with balanced gain and loss, described by parity-time PT-symmetric Hamiltonians have been deeply explored over the past decade. Most explorations are limited to finite discrete models (in real or reciprocal spaces) or continuum problems in one dimension. As a result, these models do not leverage the complexity and variability of two-dimensional continuum problems on a compact support. Here, we investigate eigenvalues of the Schrodinger equation on a disk with zero boundary condition, in the presence of constant, PT-symmetric, gain-loss potential that is confined to two mirror-symmetric disks. We find a rich variety of exceptional points, re-entrant PT-symmetric phases, and a non-monotonic dependence of the PT-symmetry breaking threshold on the system parameters. By comparing results of two model variations, we show that this simple model of a multi-core fiber supports propagating modes in the presence of gain and loss.
Cite
@article{arxiv.2310.08814,
title = {PT-symmetry enabled stable modes in multi-core fiber},
author = {Tamara Gratcheva and Yogesh N. Joglekar and Jay Gopalakrishnan},
journal= {arXiv preprint arXiv:2310.08814},
year = {2024}
}