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

Journal of Applied Mathematics and Physics

Three-Level Λ-Type Atomic System Localized by the Parameters of the Two Orthogonal Standing-Wave Fields

Shun‐Cai Zhao, Qixuan Wu

Published Jan 1, 2016• 2 citations
Publisher

Abstract

Localization of the three-level Λ-type atomic system interacting with two orthogonal standing-wave fields is proposed. Two equal and tunable peaks in the 2D plane are obtained by the detunings corresponding to the two orthogonal standing-wave fields when the decreasing intensities of spontaneously generated coherence (SGC) arise in the three-level Λ-type atomic system, while one circular ring with shrinking radii in the 2D plane is obtained by the adjusted phases and wave vectors of the standing-wave fields when the increasing intensities of SGC occur in the three-level Λ-type atomic system. 2D atom localization with the single ring with shrinking radii realized by the multiple parametric manipulations demonstrated the flexibility for our scheme.

DOI
10.4236/jamp.2016.48164

Related papers

Effect of Spontaneously Generated Coherence and Detuning on 2D Atom Localization in Two Orthogonal Standing-Wave Fields

Shun‐Cai Zhao, Qixuan Wu, Ailing Gong

Two-dimensional (2D) atom localization via the spontaneously generated coherence (SGC) and detunings associated with the probe and standing-wave driving fields in a three-level V-type atomic system are investigated. In the gain process, two equal and tunable peak maxima of position distribution in the x — y plane via the detunings are observed. However, one decreasing and the other increasing peak maxima in the absorption process via the SGC are achieved in the quadrants I and III of the x — y plane. A better resolution and more novelty for the 2D atom localization in our scheme are obtained.

arXiv:2403.12102•Chinese Physics Letters•Mar 1, 2014•2 citations

Efficient two-dimensional atom localization via spontaneously generated coherence and incoherent pump

Tao Shui, Zhiping Wang, Benli Yu

We present a simple scheme of two-dimensional (2D) atom localization controlled by spontaneously generated coherence (SGC) and incoherent pump in a closed Λ-type three-level atomic system. Due to the position-dependent atom-field interaction, the conditional position probability distribution of the atom passing through the standing waves can be directly determined by measuring the phase-sensitive probe absorption-gain spectrum. The role of the SGC and incoherent pump in the precision and spatial resolution of 2D atom localization is studied. It is found that the probability of finding the atom at a particular position in one period of the standing waves can reach 100% via properly adjusting the parameters of the system.

Journal of the Optical Society of America B•Jan 7, 2015•22 citations

High-precision three-dimensional atom localization via three orthogonal standing-wave fields

YangCheng Ma, Fei Song, Zhiping Wang

Abstract We investigate the high-precision three-dimensional localization in a four-level N -type atomic system under the action of three orthogonal standing-wave fields. By properly adjusting the system parameters such as the detuning, wave vector and phase shift, we found that the atom can be localized in a very small region ( x × y × z ) = ( 0.018 λ × 0.018 λ × 0.027 λ ) . Interestingly, the probability of finding the atom in a cubic wavelength can reach 100%.

Laser Physics•Mar 20, 2026•0 citations

Two-dimensional atom localization via probe-absorption spectrum

Rahmatullah Rahmatullah, Sajid Qamar

A scheme for two-dimensional (2D) atom localization via probe absorption in a three-level $\ensuremath{\Lambda}$-type atomic system is suggested. The required atom-field configuration is obtained when the atom interacts with a weak probe field and two orthogonal standing-wave fields where each standing-wave field is obtained from the superposition of the two standing-wave fields along the corresponding directions. We study the effect of the probe field detuning and phase shifts associated with the standing-wave fields. Two equally probable position information of the single atom are observed in the conditional position probability distribution. However, a unique position of the single atom in the 2D $xy$ plane is observed for some arbitrary choices of the phases associated with standing-wave fields and by selecting slightly different wavelengths of standing-wave fields.

Physical Review A•Jul 29, 2013•91 citations

2D isotropic negative permeability in a Λ-type three-level atomic system

Shuang-Ying Zhang, Ailing Gong, Shun‐Cai Zhao

An approach for two-dimensional (2D) negative permeability in a Λ-type three-level atomic system interacting with a magnetic probe and the superposition of two orthogonal standing-wave fields is proposed. Through theoretical analysis and numerical simulation, two equally and tunable peak maxima of negative magnetic responses are observed in the x-y plane, and around the peak maxima region the negative permeability is isotropic. A new avenue to 2D isotropic negative permeability in isotropic applications, via the quantum optics method, is achieved in our scheme.

arXiv:2403.13011•Canadian Journal of Physics•Oct 28, 2014•0 citations

Two-dimensional atom localization via two standing-wave fields in a four-level atomic system

Hongtao Zhang, Hui Wang, Zhiping Wang

We propose a scheme for the two-dimensional (2D) localization of an atom in a four-level Y-type atomic system. By applying two orthogonal standing-wave fields, the atoms can be localized at some special positions, leading to the formation of sub-wavelength 2D periodic spatial distributions. The localization peak position and number as well as the conditional position probability can be controlled by the intensities and detunings of optical fields.

Physica Scripta•Nov 28, 2011•13 citations
Localization of the three-level Λ-type atomic system interacting with two orthogonal standing-wave fields is proposed. Two equal and tunable peaks in the 2D plane are obtained by the detunings corresponding to the two orthogonal standing-wave fields when the decreasing intensities of spontaneously generated coherence (SGC) arise in the three-level Λ-type atomic system, while one circular ring with shrinking radii in the 2D plane is obtained by the adjusted phases and wave vectors of the standing-wave fields when the increasing intensities of SGC occur in the three-level Λ-type atomic system. 2D atom localization with the single ring with shrinking radii realized by the multiple parametric manipulations demonstrated the flexibility for our scheme.
Two-dimensional (2D) atom localization via the spontaneously generated coherence (SGC) and detunings associated with the probe and standing-wave driving fields in a three-level V-type atomic system are investigated. In the gain process, two equal and tunable peak maxima of position distribution in the x — y plane via the detunings are observed. However, one decreasing and the other increasing peak maxima in the absorption process via the SGC are achieved in the quadrants I and III of the x — y plane. A better resolution and more novelty for the 2D atom localization in our scheme are obtained.
We present a simple scheme of two-dimensional (2D) atom localization controlled by spontaneously generated coherence (SGC) and incoherent pump in a closed Λ-type three-level atomic system. Due to the position-dependent atom-field interaction, the conditional position probability distribution of the atom passing through the standing waves can be directly determined by measuring the phase-sensitive probe absorption-gain spectrum. The role of the SGC and incoherent pump in the precision and spatial resolution of 2D atom localization is studied. It is found that the probability of finding the atom at a particular position in one period of the standing waves can reach 100% via properly adjusting the parameters of the system.
A scheme for two-dimensional (2D) atom localization via probe absorption in a three-level $\ensuremath{\Lambda}$-type atomic system is suggested. The required atom-field configuration is obtained when the atom interacts with a weak probe field and two orthogonal standing-wave fields where each standing-wave field is obtained from the superposition of the two standing-wave fields along the corresponding directions. We study the effect of the probe field detuning and phase shifts associated with the standing-wave fields. Two equally probable position information of the single atom are observed in the conditional position probability distribution. However, a unique position of the single atom in the 2D xyxyxy plane is observed for some arbitrary choices of the phases associated with standing-wave fields and by selecting slightly different wavelengths of standing-wave fields.
An approach for two-dimensional (2D) negative permeability in a Λ-type three-level atomic system interacting with a magnetic probe and the superposition of two orthogonal standing-wave fields is proposed. Through theoretical analysis and numerical simulation, two equally and tunable peak maxima of negative magnetic responses are observed in the x-y plane, and around the peak maxima region the negative permeability is isotropic. A new avenue to 2D isotropic negative permeability in isotropic applications, via the quantum optics method, is achieved in our scheme.