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Quantum Simulation
Open Quantum Systems Decoherence
PT-symmetric model with an interplay between kinematical and dynamical non-localities
arXiv
Authors: Miloslav Znojil
Year
2014
Paper ID
47012
Status
Preprint
Abstract Read
~2 min
Abstract Words
86
Citations
N/A
Abstract
A new family of non-Hermitian PT-symmetric quantum models is proposed in which the Hamiltonians H=T+V are finite-dimensional and in which the dynamical-input potential V is multi-parametric and non-local. The choice is supported by the exact solvability of Schrödinger equation and by the well known fact that in PT-symmetric models a non-locality is already present due to the generic kinematical non-diagonality of the Hermitizing metrics Θ. For a subfamily of our Hs, also {\em all\,} of the eligible metrics Θ appear obtainable in closed form.
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- A new family of non-Hermitian PT-symmetric quantum models is proposed in which the Hamiltonians H=T+V are finite-dimensional and in which the dynamical-input potential V is...
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