Davydov-Ansatz for Landau-Zener-Stueckelberg-Majorana transitions in an environment: Tuning the survival probability via number state excitation

Michael Werther; Frank Grossmann; Zhongkai Huang; Yang Zhao

doi:10.1063/1.5096158

Davydov-Ansatz for Landau-Zener-Stueckelberg-Majorana transitions in an environment: Tuning the survival probability via number state excitation

J Chem Phys. 2019 Jun 21;150(23):234109. doi: 10.1063/1.5096158.

Authors

Michael Werther¹, Frank Grossmann², Zhongkai Huang³, Yang Zhao³

Affiliations

¹ Max-Planck-Institut für Physik Komplexer Systeme, Nöthnitzer Str. 38, D-01187 Dresden, Germany.
² Institut für Theoretische Physik, Technische Universität Dresden, D-01062 Dresden, Germany.
³ School of Materials Science and Engineering, Nanyang Technological University, Singapore 639798.

PMID: 31228888
DOI: 10.1063/1.5096158

Abstract

We theoretically investigate transitions in a two-level system, which are induced by a sweep through an avoided crossing in the presence of coupling to a single, excited bosonic mode. This allows us to propose an initial number-state bosonic excitation as a new possible control parameter for the survival probability at long times. The expansion of number states in terms of coherent states centered around points on a circle in phase space makes a multi-Davydov-Ansatz the method of choice to perform the required numerical calculations. It is revealed that the starting time of the transition greatly affects the final transition probabilities. In addition, we found that the mixing angle, which is tuning between the diagonal and off-diagonal coupling, is decisive for the ability to control the transition via number state excitation. For a mixing angle of π/4, we found the maximal effect of number state excitation on the transition probability.