Hermitian dynamics in a class of pseudo-Hermitian networks

Details Hermitian dynamics in a class of pseudo-Hermitian networks Hermitian dynamics in a class of pseudo-Hermitian networks

2011-07-21

arxiv.org/abs/1107.4311v2

Phys. Rev. A 84, 042116 (2011)

Physics

Quantum Physics

6 pages, 3 figures, accepted for publication in Phys. Rev. A

Scientific paper

10.1103/PhysRevA.84.042116

We investigate the connection between pseudo-Hermitian and Hermitian descriptions for a lattice, which consists of a set of isomorphic pseudo-Hermitian clusters. We show that such non-Hermitian systems can act as Hermitian systems. This is made possible by considering the dynamics of a state involving the superposition of a single eigenmode of each isomorphic clusters. It still holds when multiple eigenmodes are involved when additional restriction on the state is imposed. This Hermitian dynamics is demonstrated for the case of an exactly solvable PT-symmetric ladder system.

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