Dissipative Landau-Zener transitions in a three-level bow-tie model: accurate dynamics with the Davydov multi-D2 Ansatz

TL;DR

This paper uses the Davydov multi-D2 Ansatz to accurately simulate dissipative Landau-Zener transitions in a three-level bow-tie model, revealing bath-dependent effects and novel phenomena not seen in simpler systems.

Contribution

It introduces a numerically precise approach to study dissipative three-level Landau-Zener dynamics, highlighting effects of different bosonic environments and uncovering new bath-induced phenomena.

Findings

Different boson baths significantly affect the dynamics.

Standard Markovian models are insufficient for these systems.

Novel bath-induced phenomena are observed.

Abstract

We investigate Landau-Zener (LZ) transitions in the three-level bow-tie model (3L-BTM) in a dissipative environment by using the numerically accurate method of multiple Davydov D2 Ansatze. We first consider the 3L-TBM coupled to a single harmonic mode, study evolutions of the transition probabilities for selected values of the model parameters, and interpret the obtained results with the aid of the energy diagram method. We then explore the 3L-TBM coupled to a boson bath. Our simulations demonstrate that sub-Ohmic, Ohmic and super-Ohmic boson baths have substantially different influences on the 3L-BTM dynamics, which cannot be grasped by the standard phenomenological Markovian single-rate descriptions. We also describe novel bath-induced phenomena which are absent in two-level LZ systems.