Dynamics of finite dimensional non-hermitian systems with indefinite metric
Mathematical Physics
2019-01-30 v3 math.MP
Abstract
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 behaviour of dissipative One Axis Twisting Hamiltonians. We discuss the effect of decoherence under different coupling schemes.
Keywords
Cite
@article{arxiv.1807.02888,
title = {Dynamics of finite dimensional non-hermitian systems with indefinite metric},
author = {R. Ramirez and M. Reboiro},
journal= {arXiv preprint arXiv:1807.02888},
year = {2019}
}