Dynamics of finite dimensional non-hermitian systems with indefinite metric

We discuss the time evolution of physical finite dimensional systems which are modelled by non-hermitian Hamiltonians. We address both general non-hermitian Hamiltonians and pseudo-hermitian ones. We apply the theory of Krein Spaces to construct metric operators and well-defined inner products. As a...

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Bibliographic Details
Published in:Journal of mathematical physics 2019-01, Vol.60 (1)
Main Authors: Ramírez, Romina, Reboiro, Marta
Format: Article
Language:English
Subjects:
Physics
Twisting
Well construction
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Summary:We discuss the time evolution of physical finite dimensional systems which are modelled by non-hermitian Hamiltonians. We address both general non-hermitian Hamiltonians and pseudo-hermitian ones. We apply the theory of Krein Spaces to construct metric operators and well-defined inner products. As an application, we study the stationary behavior of dissipative one axis twisting Hamiltonians. We discuss the effect of decoherence under different coupling schemes.
ISSN:0022-2488
1089-7658
DOI:10.1063/1.5075628