Non-Hermitian propagation of Hagedorn wavepackets

Caroline Lasser, Roman Schubert, Stephanie Troppmann

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Abstract

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.

Original languageEnglish
Article number082102
JournalJournal of Mathematical Physics
Volume59
Issue number8
Early online date1 Aug 2018
DOIs
Publication statusPublished - Aug 2018

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