A protocol for explicitly constructing the exact time-evolution operators generated by 2×2 time-dependent PT-symmetry Hamiltonians is reported. Its mathematical applicability is illustrated with the help of appropriate examples. The physical relevance of the proposed approach within gain-loss system scenarios, like two-coupled wave-guides, is discussed in detail.
@article{arxiv.1903.04402,
title = {Analytically solvable $2\times2$ $PT$-symmetry dynamics from su(1,1)-symmetry problems},
author = {R. Grimaudo and A. S. M. de Castro and H. Nakazato and A. Messina},
journal= {arXiv preprint arXiv:1903.04402},
year = {2019}
}