Non-Hermitian propagation of Hagedorn wavepackets

作者：Lasser Caroline^*; Schubert Roman; Troppmann Stephanie

来源：Journal of Mathematical Physics, 2018, 59(8): 082102.

DOI：10.1063/1.5026043

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. Published by AIP Publishing.

• 出版日期2018-8