Non-Hermitian propagation of Hagedorn wavepackets
Provides a theoretical framework for non-Hermitian quantum dynamics, relevant to open quantum systems and non-Hermitian physics.
The authors derived a multivariate polynomial recursion for the time evolution of Hagedorn wavepackets under non-Hermitian quadratic Hamiltonians, revealing activation of lower excited states not seen in Hermitian propagation. They applied this to the Davies-Swanson oscillator.
We investigate the time evolution of Hagedorn wavepackets by non-Hermitian quadratic Hamiltonians. We state a direct connection between coherent states and Lagrangian frames. For the time evolution a multivariate polynomial recursion is derived that describes the activation of lower lying excited states, a phenomenon unprecedented for Hermitian propagation. Finally we apply the propagation of excited states to the Davies--Swanson oscillator.