Local boson-nonlocal boson coupling in a four-level system: Adiabatic, non-adiabatic, and non-Hermitian effects
Abstract
We investigates the dynamics of an open quantum system comprising a two-level electronic system coupled to local boson mode and a bosonic bath. The system is described by four distinct states, including the ground and excited electronic states, each with its corresponding zero- and one-boson vibrational levels. The dissipative dynamics arising from interactions with an external environment are modeled using two distinct theoretical frameworks: the standard Lindblad master equation and a non-Hermitian effective Hamiltonian approach. We derive the full Liouvillian superoperator for both formalisms, revealing a crucial distinction: while the Lindblad equation accounts for both state decay and repopulation via quantum jumps, the non-Hermitian formalism only captures the decay, leading to non-conservation of the total system probability.
Keywords
Cite
@article{arxiv.2411.01787,
title = {Local boson-nonlocal boson coupling in a four-level system: Adiabatic, non-adiabatic, and non-Hermitian effects},
author = {Chen-Huan Wu},
journal= {arXiv preprint arXiv:2411.01787},
year = {2025}
}