PT Symmetry via Electromagnetically Induced Transparency

Abstract

We propose a scheme to realize parity-time (PT) symmetry via electromagnetically induced transparency (EIT). The system we consider is an ensemble of cold four-level atoms with an EIT core. We show that the cross-phase modulation contributed by an assisted field, the optical lattice potential provided by a far-detuned laser field, and the optical gain resulted from an incoherent pumping can be used to construct a PT-symmetric complex optical potential for probe field propagation in a controllable way. Comparing with previous study, the present scheme uses only a single atomic species and hence is easy for the physical realization of PT-symmetric Hamiltonian via atomic coherence.

References in corpus (10)

• Making Sense of Non-Hermitian Hamiltonians
• Unidirectional Invisibility induced by PT-Symmetric Periodic Structures
• Coherent Perfect Absorbers: Time-reversed Lasers
• PT-symmetric laser-absorber
• Experimental Study of Active LRC Circuits with PT-Symmetries
• Physical realization of $\mathcal{P}\mathcal{T}$-symmetric potential scattering in a planar slab waveguide
• PT-symmetry with a system of three-level atoms
• Extension of PT-Symmetric Quantum Mechanics to Quantum Field Theory with Cubic Interaction
• Distribution of Eigenvalues in Non-Hermitian Anderson Model
• Giant amplification of modes in parity-time symmetric waveguides

Cited by in corpus (11)

• Nonlinear waves in $\mathcal{P}\mathcal{T}$-symmetric systems
• Anti-Parity-Time Symmetric Optics via Flying Atoms
• Observation of Parity-Time Symmetry in Optically Induced Atomic Lattices
• Parity-Time Symmetry in Non-Hermitian Complex Optical Media
• Non-Hermitian shortcut to stimulated Raman adiabatic passage
• PT-restoration via increased loss-gain in PT-symmetric Aubry-Andre model
• Perturbative Unidirectional Invisibility
• Phase-controlled Optical PT symmetry and asymmetric light diffraction in one- and two-dimensional optical lattices
• Dynamical evolution of an effective two-level system with PT symmetry
• Interplay between nonclassicality and $\mathcal{P}\mathcal{T}$ symmetry in an effective two level system with open system effects
• Stability band structure for periodic states in periodic potentials