An attractor dynamics in a non-Hermitian two-level system. (14th October 2021)

• Record Type: Journal Article
• Authors: Li, C; Wang, P; Jin, L; Song, Z
• Is Part Of: Journal of physics communications. Volume 5:Number 10(2021)
• Publication Date: 2021-10-14
• Subjects: Non-Hermitian -- Attractor -- Nonlinear -- Dynamics; Physics -- Periodicals; 530.05
• DOI: 10.1088/2399-6528/ac2c33
• Languages: English
• ISSNs: 2399-6528

Abstract

Abstract: Exceptional points in non-Hermitian systems possess fascinating properties. We present an exactly solvable attractor dynamics for the first time from the two-level time-dependent non-Hermitian Hamiltonian. This allows the evolution from a pure or mixed initial state to the coalescence state by varying the imaginary parameter along a specific diabatic passage. In contrast to a chaotic attractor that is ultrasensitive to initial conditions, the designed attractor is insensitive to initial conditions. The attractor-like behavior is applicable to several adiabatic processes.