6533b853fe1ef96bd12ac080

RESEARCH PRODUCT

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

A. S. De CastroAntonino MessinaHiromichi NakazatoRoberto Grimaudo

subject

PhysicsTheoretical physics0103 physical sciencesDynamics (mechanics)010306 general physics01 natural sciencesSymmetry (physics)010305 fluids & plasmas

description

A protocol for explicitly constructing the exact time-evolution operators generated by $2\ifmmode\times\else\texttimes\fi{}2$ 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.

https://doi.org/10.1103/physreva.99.052103