2018/07/02 by Shiguang Rong, Rong, Shiguang, Qiongtao Xie +3
Biochemistry, Genetics and Molecular Biology · Physics and Astronomy · #Chaotic Dynamics (nlin.CD) #FOS: Physical sciences #Fractal and DNA sequence analysis #Mechanical and Optical Resonators #Optics (physics.optics) #Quantum Gases (cond-mat.quant-gas) #Quantum Mechanics and Non-Hermitian Physics
paper · pdf · doi:10.48550/arxiv.1807.00761
openalex publication_date 2018/07/02 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Dynamics of a simple system, such as a two-state (dimer) model, are dramatically changed in the presence of interactions and external driving, and the resultant unitary dynamics show both regular and chaotic regions. We investigate the non-unitary dynamics of such a dimer in the presence of balanced gain and loss for the two states, i.e. a PT symmetric dimer. We find that at low and high driving frequencies, the PT-symmetric dimer motion continues to be regular, and the system is in the PT-symmetric state. On that other hand, for intermediate driving frequency, the system shows chaotic motion, and is usually in the PT-symmetry broken state. Our results elucidate the interplay between the PT-symmetry breaking transitions and regular-chaotic transitions in an experimentally accessible toy model.