Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Optics Express

Realization of simultaneously parity-time-symmetric and parity-time-antisymmetric susceptibilities along the longitudinal direction in atomic systems with all optical controls

You-Lin Chuang, Ziauddin Ziauddin, Ray‐Kuang Lee

Published Aug 9, 2018• 31 citations
Publisher

Abstract

We propose an all-optical-control scheme to simultaneously realize parity-time (𝒫𝒯)-symmetric and 𝒫𝒯-antisymmetric susceptibilities along the propagation direction of light by applying an external magnetic field. Through the light-atom interaction within a double-Λ configuration, the resulting position-dependent susceptibilities for the interacting fields can be manipulated through the relative phase between them. In particular, for the probe field, one can switch its refractive index from the 𝒫𝒯-symmetry to 𝒫𝒯-antisymmetry by just varying the phase. Based on the quantum interference among transition channels in a closed loop, analytical formulas are also derived to illustrate the conditions for 𝒫𝒯-symmetry and 𝒫𝒯-antisymmetry.

DOI
10.1364/oe.26.021969

Related papers

Phase-dependent $\boldsymbol{\mathcal{PT}}$ -, non-$\boldsymbol{\mathcal{PT}}$ -, and anti-$\boldsymbol{\mathcal{PT}}$ -symmetry

Ziauddin Ziauddin

We propose a scheme to realize -, non- -, and anti- -symmetry in an ensemble of four-level double-lambda configuration. We find that the ensemble of atoms exhibits either symmetry, non-symmetry and antisymmetry of parity-time in terms of the refractive index modulation. Such fascinating modulation of real and imaginary parts of refractive index is attained via the relative phase ( ϕ ) of the optical fields. The control of spatial modulations of refractive index then leads to the control of -, non- -, and anti- -symmetry via the relative phase of the optical fields. Such interesting and controllable system via relative phase may open a new way in observing -, non- -, and anti- -symmetry with gain-loss contrast in atomic systems.

Europhysics Letters (EPL)•Dec 12, 2018•4 citations

Optical Parity-Time Symmetric Structure with Vee- and Lambda-Configuration Atomic Vapors

Frost Mengmeng Xu, Hao Song, Jian Xu +1 more

In optical parity-time symmetry, the electric permittivity of an electromagnetic structure should have a real part, which is an even function of spatial coordinates, and an imaginary part, which is an odd function of coordinates. Since a Vee- and a Lambda-configuration three-level atomic vapor can be driven by both control and probe beams, and can exhibit both frequency-sensitive and field-controlling optical responses, the dielectric “constants” of these two atomic vapors can be tuned by manipulating the applied external control fields. The requirement for realizing optical parity-time symmetry can be fulfilled in quantum-coherent multilevel atomic vapors. A design based on Vee- and Lambda-configuration three-level atomic vapors for achieving optical parity-time symmetric interface is suggested in this paper. Under certain parameter conditions, an optical parity-time symmetric interface can possibly be fabricated in the present scenario of quantum-coherent multilevel atomic vapors.

International review of physics•Jun 30, 2017•0 citations

Unidirectional and bidirectional photon transport blockade in driven atomic lattices of parity-time antisymmetry

Xiao Liu, Jin‐Hui Wu

Abstract We propose a scheme for realizing exact parity-time ( P T ) antisymmetry of complex susceptibility in a wide range of probe detuning by considering a one-dimensional lattice of cold atoms driven into the simplest three-level Λ configuration. This is attained by modulating the intensity of a standing-wave coupling field with a proper phase shift to counteract the product of a single-photon detuning and a two-photon detuning. Such a dynamically controlled P T -antisymmetric lattice supports the integration of a few nontrivial scattering behaviors including unidirectional light reflectionless, asymmetric perfect absorption, and directional signal quenching. These behaviors, depending in particular on atomic densities and lattice lengths, facilitate the on-demand realization of unidirectional or bidirectional photon transport blockade.

New Journal of Physics•Jan 1, 2024•6 citations

PT symmetry via electromagnetically induced transparency

Hui‐jun Li, Jian-Peng Dou, Guoxiang Huang

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.

arXiv:1307.2695•Optics Express•Dec 17, 2013•63 citations

Weak-light solitons and their active control in a parity-time-symmetric atomic system

Chao Hang, Guoxiang Huang

We propose a realistic physical scheme to produce one-dimensional and two-dimensional weak-light solitons in an atomic system with $\mathcal{PT}$ symmetry. The system we suggest is a cold three-level atomic gas with two species and is driven by control and probe laser fields. We show that by the interference of two Raman resonances a highly adjustable probe-field refractive index with $\mathcal{PT}$ symmetry in one and two dimensions can be realized. We further show that it is possible to produce various light solitons when the weak nonlinearity of the probe field is taken into account. Due to the resonant character of the system, the light solitons obtained in one and two dimensions have extremely low light power (at the level of nanowatts). In addition, we demonstrate that the stability of these light solitons can be actively controlled via $\mathcal{PT}$ phase transition of the system.

Physical Review A•Apr 22, 2015•21 citations

$\cal{PT}$ -symmetry in Rydberg atoms

Ziauddin Ziauddin, You-Lin Chuang, Ray‐Kuang Lee

We propose a scheme to realize parity-time ( PT )-symmetry in an ensemble of strongly interacting Rydberg atoms, which act as superatoms due to the dipole blockade mechanism. We show that Rydberg-dressed 87 Rb atoms in a four-level inverted Y -type configuration is highly efficient to generate the refractive index for a probe field, with a symmetric (antisymmetric) profile spatially in the corresponding real (imaginary) part. Comparing with earlier investigations, the present scheme provides a versatile platform to control the system from PT -symmetry to non- PT -symmetry via different external parameters, i.e. , coupling field detuning, probe field intensity and control field intensity.

Europhysics Letters (EPL)•Jul 1, 2016•13 citations
We propose an all-optical-control scheme to simultaneously realize parity-time (𝒫𝒯)-symmetric and 𝒫𝒯-antisymmetric susceptibilities along the propagation direction of light by applying an external magnetic field. Through the light-atom interaction within a double-Λ configuration, the resulting position-dependent susceptibilities for the interacting fields can be manipulated through the relative phase between them. In particular, for the probe field, one can switch its refractive index from the 𝒫𝒯-symmetry to 𝒫𝒯-antisymmetry by just varying the phase. Based on the quantum interference among transition channels in a closed loop, analytical formulas are also derived to illustrate the conditions for 𝒫𝒯-symmetry and 𝒫𝒯-antisymmetry.
Phase-dependent PT\boldsymbol{\mathcal{PT}}PT -, non-PT\boldsymbol{\mathcal{PT}}PT -, and anti-PT\boldsymbol{\mathcal{PT}}PT -symmetry
We propose a scheme to realize -, non- -, and anti- -symmetry in an ensemble of four-level double-lambda configuration. We find that the ensemble of atoms exhibits either symmetry, non-symmetry and antisymmetry of parity-time in terms of the refractive index modulation. Such fascinating modulation of real and imaginary parts of refractive index is attained via the relative phase ( ϕ ) of the optical fields. The control of spatial modulations of refractive index then leads to the control of -, non- -, and anti- -symmetry via the relative phase of the optical fields. Such interesting and controllable system via relative phase may open a new way in observing -, non- -, and anti- -symmetry with gain-loss contrast in atomic systems.
In optical parity-time symmetry, the electric permittivity of an electromagnetic structure should have a real part, which is an even function of spatial coordinates, and an imaginary part, which is an odd function of coordinates. Since a Vee- and a Lambda-configuration three-level atomic vapor can be driven by both control and probe beams, and can exhibit both frequency-sensitive and field-controlling optical responses, the dielectric “constants” of these two atomic vapors can be tuned by manipulating the applied external control fields. The requirement for realizing optical parity-time symmetry can be fulfilled in quantum-coherent multilevel atomic vapors. A design based on Vee- and Lambda-configuration three-level atomic vapors for achieving optical parity-time symmetric interface is suggested in this paper. Under certain parameter conditions, an optical parity-time symmetric interface can possibly be fabricated in the present scenario of quantum-coherent multilevel atomic vapors.
Abstract We propose a scheme for realizing exact parity-time ( P T ) antisymmetry of complex susceptibility in a wide range of probe detuning by considering a one-dimensional lattice of cold atoms driven into the simplest three-level Λ configuration. This is attained by modulating the intensity of a standing-wave coupling field with a proper phase shift to counteract the product of a single-photon detuning and a two-photon detuning. Such a dynamically controlled P T -antisymmetric lattice supports the integration of a few nontrivial scattering behaviors including unidirectional light reflectionless, asymmetric perfect absorption, and directional signal quenching. These behaviors, depending in particular on atomic densities and lattice lengths, facilitate the on-demand realization of unidirectional or bidirectional photon transport blockade.
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.
We propose a realistic physical scheme to produce one-dimensional and two-dimensional weak-light solitons in an atomic system with PT\mathcal{PT}PT symmetry. The system we suggest is a cold three-level atomic gas with two species and is driven by control and probe laser fields. We show that by the interference of two Raman resonances a highly adjustable probe-field refractive index with PT\mathcal{PT}PT symmetry in one and two dimensions can be realized. We further show that it is possible to produce various light solitons when the weak nonlinearity of the probe field is taken into account. Due to the resonant character of the system, the light solitons obtained in one and two dimensions have extremely low light power (at the level of nanowatts). In addition, we demonstrate that the stability of these light solitons can be actively controlled via PT\mathcal{PT}PT phase transition of the system.
PT\cal{PT}PT -symmetry in Rydberg atoms
We propose a scheme to realize parity-time ( PT )-symmetry in an ensemble of strongly interacting Rydberg atoms, which act as superatoms due to the dipole blockade mechanism. We show that Rydberg-dressed 87 Rb atoms in a four-level inverted Y -type configuration is highly efficient to generate the refractive index for a probe field, with a symmetric (antisymmetric) profile spatially in the corresponding real (imaginary) part. Comparing with earlier investigations, the present scheme provides a versatile platform to control the system from PT -symmetry to non- PT -symmetry via different external parameters, i.e. , coupling field detuning, probe field intensity and control field intensity.