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arXiv · 1903.04402

Analytically solvable $2\times2$ $PT$-symmetry dynamics from su(1,1)-symmetry problems

R. Grimaudo·A. S. M. de Castro·H. Nakazato·A. Messina
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Abstract

A protocol for explicitly constructing the exact time-evolution operators generated by $2 \times 2$ 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.

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R. Grimaudo, A. S. M. de Castro, H. Nakazato, A. Messina. 2019-03-11. Analytically solvable $2\times2$ $PT$-symmetry dynamics from su(1,1)-symmetry problems. https://doi.org/10.1103/physreva.99.052103

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