PT spectroscopy of the Rabi problem

Abstract

We investigate the effects of a time-periodic, non-hermitian, PT-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 demonstrate that when the perturbation frequency is close to one of the system resonances, even a vanishingly small perturbation leads to PT symmetry breaking. We also find a restored PT-symmetric phase at high frequencies, and at moderate perturbation strengths, we find multiple frequency windows where PT-symmetry is broken and restored. Our results imply that the PT-symmetric Rabi problem shows surprisingly rich phenomena absent in its hermitian or static counterparts.

5 pages, 4 figures

References in corpus (5)

• Making Sense of Non-Hermitian Hamiltonians
• Reversing the Pump-Dependence of a Laser at an Exceptional Point
• Exponentially Fragile PT-Symmetry in Lattices with Localized Eigenmodes
• The robust $\mP\mT$-symmetric chain and properties of its Hermitian counterpart
• Gegenbauer-solvable quantum chain model

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• $\mathcal{P}\mathcal{T}$ symmetry of a square-wave modulated two-level system
• Generating high-order exceptional points in coupled electronic oscillators using complex synthetic gauge fields
• Conserved quantities in non-Hermitian systems via vectorization method
• Protecting coherence in the non-Hermitian two-level system
• Relativistic Zitterbewegung in non-Hermitian photonic waveguide systems