2014/07/17 by Yogesh N. Joglekar, Rahul Marathe, P. Durganandini +1 · 2 citations
Mathematics · Physics and Astronomy · #Combinatorics #Hermitian matrix #Mathematical physics #Mathematics #Nonlinear Photonic Systems #Perturbation (astronomy) #Perturbation theory (quantum mechanics) #Phase (matter) #Phase diagram #Physics #Quantum Mechanics and Non-Hermitian Physics #Quantum chaos and dynamical systems #Quantum mechanics #Spectroscopy #cond-mat.other #physics.optics #quant-ph
paper · pdf · doi:10.1103/physreva.90.040101
published as Phys. Rev. A 90, 040101(R) (2014) · 5 pages, 4 figures
arxiv created 2014/07/17 · openalex publication_date 2014/10/10 · arxiv updated 2014/10/14 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/06
We investigate the effects of a time-periodic, non-Hermitian, PT\text\ensuremath-symmetric perturbation on a system with two (or few) levels, and obtain its phase diagram as a function of the perturbation strength and frequency. We prove that when the perturbation frequency is close to one of the system resonances, even a vanishingly small gain-loss potential leads to PT symmetry breaking. We also find a restored PT\text\ensuremath-symmetric phase at high frequencies, and at moderate perturbation strengths, we predict the existence of multiple frequency windows where PT symmetry is broken and restored. Our results imply that the PT\text\ensuremath-symmetric Rabi problem shows exceptionally rich phenomena absent in its Hermitian or static counterparts.