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arXiv · 1710.07796

An attractor dynamics in a non-Hermitian two-level system

C. Li·P. Wang·L. Jin·Z. Song
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Abstract

Exceptional point in non-Hermitian system possesses fascinating properties. We present an exactly solvable attractor dynamics for the first time from a two-level time dependent non-Hermitian Hamiltonian. It allows a way to evolve to the coalescence state from a pure or mixed initial state through varying the imaginary parameter along a specific diabatic passage. Contrast to a chaotic attractor that is ultrasensitive to the initial condition, the designed attractor is insensitive to the initial conditions. The attractor-like behavior still exists for several adiabatic processes.

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C. Li, P. Wang, L. Jin, Z. Song. 2017-10-21. An attractor dynamics in a non-Hermitian two-level system. https://doi.org/10.1088/2399-6528%2Fac2c33

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