Dynamical evolution of an effective two-level system with PT symmetry

Abstract

We investigate the dynamics of parity- and time-reversal (PT ) symmetric two-energy-level atoms in the presence of two optical and a radio-frequency (rf) fields. The strength and relative phase of fields can drive the system from unbroken to broken PT symmetric regions. Compared with the Hermitian model, Rabi-type oscillation is still observed, and the oscillation characteristics are also adjusted by the strength and relative phase in the region of unbroken PT symmetry. At exception point (EP), the oscillation breaks down. To better understand the underlying properties we study the effective Bloch dynamics and find the emergence of the z components of the fixed points is the feature of the PT symmetry breaking and the projections in x-y plane can be controlled with high flexibility compared with the standard two-level system with PT symmetry. It helps to study the dynamic behavior of the complex PT symmetric model.

arXiv comment10 pages, 6 figures,to appear in CPL

References in corpus (24)

• Real Spectra in Non-Hermitian Hamiltonians Having PT Symmetry
• Nonreciprocal light transmission in parity-time-symmetric whispering-gallery microcavities
• Complex Extension of Quantum Mechanics
• PT-Symmetric Quantum Mechanics
• Experimental Study of Active LRC Circuits with PT-Symmetries
• Anti-Parity-Time Symmetric Optics via Flying Atoms
• Faster than Hermitian Quantum Mechanics
• PT symmetry and spontaneous symmetry breaking in a microwave billiard
• Optomechanically-Induced Transparency in partiy-time-symmetric microresonators
• PT-symmetry with a system of three-level atoms
• Mean-field dynamics of a non-Hermitian Bose-Hubbard dimer
• General description of quasi-adiabatic dynamical phenomena near exceptional points
• Heralded magnetism in non-Hermitian atomic systems
• Solutions of PT symmetric tight-binding chain and its equivalent Hermitian counterpart
• Electromagnetically induced transparency controlled by a microwave field
• Quantum Classical Correspondence for a non-Hermitian Bose-Hubbard Dimer
• Topological phase in a non-Hermitian PT symmetric system
• Robust and fragile PT-symmetric phases in a tight-binding chain
• Observation of Bloch oscillations in complex PT-symmetric photonic lattices
• PT Symmetry via Electromagnetically Induced Transparency
• State Flip at Exceptional Points in Atomic Spectra
• Interplay between Fano resonance and $\mathcal{P}\mathcal{T}$ symmetry in non-Hermitian discrete systems
• $\mathcal{P}\mathcal{T}$ symmetry breaking for the scattering problem in a one-dimensional non-Hermitian lattice model
• Dynamics of Two-Component Bose-Einstein Condensates Coupled with Environment

Cited by in corpus (4)

• $\mathcal{P}\mathcal{T}$ symmetric evolution, coherence and violation of Leggett-Garg inequalities
• Interplay between nonclassicality and $\mathcal{P}\mathcal{T}$ symmetry in an effective two level system with open system effects
• Witnessing criticality in non-Hermitian systems via entropic uncertainty relation
• $\mathcal{P}\mathcal{T}-$Symmetric Two-Level Open Quantum Systems: Information Theoretic Facets