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- W4384389817 abstract "The effect of a non-unitary transformation on an initial Hermitian operator is studied. The initial (Hermitian) optical system is a Glauber-Fock optical lattice. The resulting non-Hermitian Hamiltonian models an anisotropic (Glauber-Fock) waveguide array of the Hatano-Nelson-type. Several cases are analyzed and exact analytical solutions for both the Hermitian and non-Hermitian Schrodinger problems are given, as they are simply connected. Indeed, such transformation can be regarded as a non-unitary Supersymmetric (SUSY) transformation and the resulting non-Hermitian Hamiltonian can be considered as representing an open system that interchanges energy with the environment." @default.
- W4384389817 created "2023-07-15" @default.
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- W4384389817 date "2023-07-12" @default.
- W4384389817 modified "2023-10-17" @default.
- W4384389817 title "Non-Hermitian propagation in Glauber-Fock optical lattices" @default.
- W4384389817 doi "https://doi.org/10.48550/arxiv.2307.06425" @default.
- W4384389817 hasPublicationYear "2023" @default.
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