The linearization of the non-Hermitian Lindblad equation and its applicaton
Year: 2020
Type: preprint
Abstract: Non-Hermiticity and dissipations are two different effects of open systems and the interaction between them has yet to be studied detailedly. In this paper, we theoretically and numerically explore an open system with non-Hermiticity and dissipations. We solve non-Hermitian(NH) Hamiltonians combined with dissipative channels by using the vectorized Lindblad equation, which is an exactly solvable method to address open systems with dissipations. According to this frame and taking a two-level system as an example, we predict a new class of steady states where one eigenvalue of this system is real and the others are complex and a new class of exceptional points(EPs) due to the interplay between non-Hermiticity and dissipations. Further, we reveal the topological properties of eigenstates with $Re[\lambda]=0$ regime, e.g NH Fermi arcs. In short, our work brings a new insight into NH systems and provides a way to study open systems with non-Hermiticity and dissipations.
Source: arXiv (Cornell University)
Authors: Jian Xu, You-neng Guo
Language: English
Subfield: Atomic and Molecular Physics, and Optics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W3015267844