Quantum transport in non-Markovian dynamically disordered photonic lattices

R Román-Ancheyta, B Çakmak, RJ León-Montiel… - Physical Review A, 2021 - APS
We show theoretically that the dynamics of a driven quantum harmonic oscillator subject to
nondissipative noise is formally equivalent to the single-particle dynamics propagating …

Diffraction-free beam propagation at the exceptional point of non-Hermitian Glauber Fock lattices

C Yuce, H Ramezani - Journal of Optics, 2022 - iopscience.iop.org
We construct localized beams in a non-Hermitian Glauber Fock (NGF) lattice of coupled
waveguides and show that they can propagate over a long distance withalmost no …

Non-unitary transformation approach to dynamics

BM Villegas-Martínez, F Soto-Eguibar… - arXiv preprint arXiv …, 2022 - arxiv.org
We show that several Hamiltonians that are $\mathcal {PT} $ symmetric may be taken to
Hermitian Hamiltonians via a non-unitary transformation and vice versa. We also show that …