PT-symmetry with a system of three-level atoms

Abstract

We show that a vapor of multilevel atoms driven by far-off resonant laser beams, with possibility of interference of two Raman resonances, is highly efficient for creating parity-time (PT) symmetric profiles of the probe-field refractive index, whose real part is symmetric and imaginary part is anti-symmetric in space. The spatial modulation of the susceptibility is achieved by proper combination of standing-wave strong control fields and of Stark shifts induced by a far-off-resonance laser field. As particular examples we explore a mixture of isotopes of Rubidium atoms and design a PT-symmetric lattice and a parabolic refractive index with a linear imaginary part.

5 pages, 4 figures

References in corpus (4)

• Physical realization of $\mathcal{P}\mathcal{T}$-symmetric potential scattering in a planar slab waveguide
• Refractive Index Enhancement with Vanishing Absorption in an Atomic Vapor
• A note on the PT-invariant periodic potential V(x)=4 cos^2 x + 4 i V_0 sin 2x
• Giant amplification of modes in parity-time symmetric waveguides

Cited by in corpus (87)

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• Anti-Parity-Time Symmetric Optics via Flying Atoms
• Metrology with $\mathcal{P}\mathcal{T}$-symmetric cavities: Enhanced sensitivity near the $\mathcal{P}\mathcal{T}$-phase transition
• Observation of parity-time symmetry breaking in a single spin system
• Nonlinear switching and solitons in PT-symmetric photonic systems
• Observation of Parity-Time Symmetry in Optically Induced Atomic Lattices
• $\mathcal{P}\mathcal{T}$ symmetry in a fractional Schrödinger equation
• Topological phases and edge states in a non-Hermitian trimerized optical lattice
• Observation of Edge Solitons in Photonic Graphene
• Giant nonlinearity via breaking parity-time symmetry: a route to low-threshold phonon diodes
• Parity-Time Symmetry in Non-Hermitian Complex Optical Media
• PT-symmetric optical potentials in a coherent atomic medium
• Spatial solitons and stability in self-focusing and defocusing Kerr nonlinear media with generalized PT-symmetric Scarff-II potentials
• Solitons in a nonlinear Schrodinger equation with PT-symmetric potentials and inhomogeneous nonlinearity: stability and excitation of nonlinear modes
• Quantum sensing with a single-qubit pseudo-Hermitian system
• Quantum squeezing and sensing with pseudo anti-parity-time symmetry
• PT-symmetry breaking in the steady state of microscopic gain-loss systems
• Nonlocal gap solitons in PT-symmetric periodic potentials with defocusing nonlinearity
• Photonic Floquet Topological Insulator in an Atomic Ensemble
• Non-Hermitian shortcut to stimulated Raman adiabatic passage
• Instabilities, solitons, and rogue waves in PT-coupled nonlinear waveguides
• Magnetic suppression of non-Hermitian skin effects
• Parity-time symmetry in optical microcavity systems
• PT Symmetry via Electromagnetically Induced Transparency
• Regularization of the spectral singularity in $\mathcal{P}\mathcal{T}$-symmetric systems by all order nonlinearities: Nonreciprocity and optical isolation
• Permanent Rabi oscillations in coupled exciton-photon systems with PT-symmetry
• Delayed sudden death of entanglement at exceptional points
• $\mathcal{P}\mathcal{T}$-symmetric slowing-down of decoherence
• Hot atomic vapors for nonlinear and quantum optics
• Unidirectional and controllable higher-order diffraction by a Rydberg electromagnetically induced grating
• Non-Hermitian Dynamic Strings and Anomalous Topological Degeneracy on non-Hermitian Toric-code Model with Parity-time Symmetry
• Perturbation Theory in the Complex Plane: Exceptional Points and Where to Find Them
• Jamming anomaly in $\mathcal{P}\mathcal{T}$-symmetric systems
• Localization, quantum resonances and ratchet acceleration in a periodically-kicked $\mathcal{P}\mathcal{T}$-symmetric quantum rotator
• Experimental simulation of the Parity-Time-symmetric dynamics using photonics qubits
• Experimental demonstration of coherence flow in $\mathcal{P}\mathcal{T}$- and anti-$\mathcal{P}\mathcal{T}$-symmetric systems
• Asymmetric lasing at spectral singularities
• PT-symmetric feedback induced linewidth narrowing
• Electromagnetically induced moiré optical lattices in a coherent atomic gas
• Solitons in PT-symmetric ladders of optical waveguides
• Ultraprecise Rydberg atomic localization using optical vortices
• Activating non-Hermitian skin modes by parity-time symmetry breaking
• Tunable nonlinear PT-symmetric defect modes with an atomic cell
• Nonlinear Topological Edge States in a non-Hermitian Array of Optical Waveguides Embedded in an Atomic Gas
• Two-qubit entanglement generation through non-Hermitian Hamiltonians induced by repeated measurements on an ancilla
• Transition Probabilities in the Two-Level Quantum System with PT-Symmetric Non-Hermitian Hamiltonians
• Bulk vortices and half-vortex surface modes in parity-time-symmetric media
• Designing lasing and perfectly absorbing potentials
• Chiral state transfer under dephasing
• Stochastic $\mathcal{P}\mathcal{T}$-symmetric coupler
• Shortcuts to adiabaticity in non-Hermitian quantum systems without rotating-wave approximation
• Scattering of gap solitons by PT-symmetric defects
• Experimental Observation of Partial Parity-Time Symmetry and Its Phase Transition with a Laser-Driven Cesium Atomic Gas
• Nonlinear parity-time-symmetric transition in finite-size optical couplers
• Parity-time-symmetric closed form optical quadrimer waveguides
• Detecting topological exceptional points in a parity-time symmetric system with cold atoms
• PT-symmetric quantum oscillator in an optical cavity
• Observation of exceptional point in a PT broken non-Hermitian system simulated using a quantum circuit
• Physics of PT-Symmetric Quantum Systems at Finite Temperature
• Enhancing the sensitivity of nonlinearity sensors through homodyne detection in dissipatively coupled systems
• Bistable soliton switching dynamics in a $\mathcal{P}\mathcal{T}$-symmetric coupler with saturable nonlinearity
• Anomalous Faraday effect in a $\mathcal{P}\mathcal{T}$-symmetric dielectric slab
• Effective non-Hermitian physics for degenerate ground states of a nonHermitian Ising model with $\mathcal{R}\mathcal{T}$ symmetry
• Enhanced index of refraction in four-wave mixing media
• Nonlinear Parity-Time (PT) symmetric closed-form optical quadrimer waveguides: Attractor perspective
• $\mathcal{P}\mathcal{T}$-Symmetry in Hartree-Fock Theory
• Systems that become $\mathcal{P}\mathcal{T}$ symmetric through interaction
• Dynamical evolution of an effective two-level system with PT symmetry
• Modulation of the photonic band structure topology of a honeycomb lattice in an atomic vapor
• Small-amplitude nonlinear modes under the combined effect of the parabolic potential, nonlocality and $\mathcal{P}\mathcal{T}$ symmetry
• Universal scaling at a pre-thermal dark state
• Imaginary spin-orbital coupling in parity-time symmetric systems with momentum-dependent gain and loss
• Scattering of Spin-$\frac{1}{2}$ Particles from a $\mathcal{P}\mathcal{T}$-symmetric Complex Potential
• Controlling of blow-up responses by a nonlinear $\mathcal{P}\mathcal{T}$ symmetric coupling
• Lopsided optical diffraction in loop electromagnetically induced grating
• Local preservation of no-signaling in multiparty PT-symmetric evolutions
• Acute entanglement and Photon/Phonons statistics in a balanced/unbalanced PT-symmetry systems
• Exotic light transition between superluminal and subliminal group velocity in a $\mathcal{P}\mathcal{T}$ coupled slab waveguide
• Talbot effect in nonparaxial self-accelerating beams with electromagnetically induced transparency
• Exceptional Point Superradiant Lasing with Ultranarrow Linewidth
• Solitonic dynamics and excitations of the nonlinear Schrodinger equation with third-order dispersion in non-Hermitian PT-symmetric potentials
• Three-level Λ-type atomic systems with a Pseudo-Hermitian PT-symmetric Hamiltonian
• Interferometric Geometric Phases of $\mathcal{P}\mathcal{T}$-symmetric Quantum Mechanics
• $\mathcal{P}\mathcal{T}-$Symmetric Two-Level Open Quantum Systems: Information Theoretic Facets
• Superexponential amplification, power blowup, and solitons sustained by non-Hermitian gauge potentials
• Resonant scattering of a single atom with gain: a wavefunction-diagrammatic approach