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Analytically solvable 2×2 PT-symmetry dynamics from su(1,1)-symmetry problems


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 waveguides, is discussed in detail.