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 Optics B Quantum and Semiclassical Optics

Time-dependent Autler Townes spectroscopy

Sajid Qamar, Shi-Yao Zhu, Muhammad Suhail Zubairy

Published Mar 28, 2003• 5 citations
Publisher

Abstract

Autler–Townes spontaneous emission spectroscopy is revisited for a time-dependent case. We report the results of spontaneous emission spectra for nonstationary scattered light signals using the definition of the time-dependent physical spectrum. This is a rare example of problems where time-dependent spectra can be calculated exactly.
DOI
10.1088/1464-4266/5/2/310

Related papers

Spontaneous emission of atoms coupled to frequency-dependent reservoirs

Maciej Lewenstein, Jakub Zakrzewski, THOMAS W. MOSSBERG

We study the spontaneous emission of atoms coupled to frequency-dependent photon-mode reservoirs, and find atomic emission spectra qualitatively different from those of free space. Frequency-dependent photon-mode reservoirs are found in a variety of physical situations (e.g., in waveguides, microcavities, dielectrics, systems with photonic spectral gaps, etc.), and are shown to lead to nonexponential decay and concomitant complicated non-Lorentzian emission line shapes. By studying Autler-Townes spectra in the presence of a frequency-dependent photon-mode density, we present simple examples of dynamical modifications of spontaneous decay properties.

Physical Review A•Jul 1, 1988•87 citations

Time-dependent optical Autler-Townes theory using finite bandwidth lasers

Kariman I. Osman, S. Swain

Time-dependent spectra are calculated for the optical Autler-Townes effect in a three-level system without Doppler broadening and in the probe field approximation. Analytic expressions are also given for the steady-state spectra taking account of the finite laser linewidths, which are assumed to be due to phase diffusion. Comparison is made with time-dependent spectra in the related phenomenon of resonance fluorescence, and the differences pointed out. The effects of laser linewidths on the amplitude of the spectra are also discussed, and found to be marked. The method used in the calculations is that of generalised multiphoton rate equations.

Journal of Physics B Atomic and Molecular Physics•Jun 28, 1980•31 citations

Time-dependent Emission Spectra from Molecular Wave Packets

Thomas J. Dunn, John N. Sweetser, Ian A. Walmsley +1 more

Get PDF Email Share Share with Facebook Tweet This Post on reddit Share with LinkedIn Add to CiteULike Add to Mendeley Add to BibSonomy Get Citation Copy Citation Text THOMAS J. DUNN, JOHN N. SWEETSER, IAN A. WALMSLEY, and CZESLAW RADZEWICZ, "Time-dependent Emission Spectra from Molecular Wave Packets," Optics & Photonics News 4(12), 39-40 (1993) Export Citation BibTex Endnote (RIS) HTML Plain Text Citation alert Save article

Optics and Photonics News•Dec 1, 1993•0 citations

SPECTROSCOPIC TECHNIQUES FOR SINGLE ATOM LOCALIZATION

Sajid, Qamar

Entanglement of the atom and field leads towards the measurement of the state of the atom or field depending on the kind of measurement made. Taking advantage of this fact, we propose spectroscopic methods for the single atom localization within the subwavelength domain of the optical standing wave field. \n \nWhen a two-level atom interacts with some intense radiation field the spectrum of the scattered light signal exhibits a three-peak Mollow spectrum. We propose a scheme of atom localization based on the resonance fluorescence from a two-level atom interacting with a standing wave field. The Rabi frequency is considered to be position dependent and therefore, the spontaneously emitted photon carries the information about the center-of-mass motion of the atom. This leads to the localization of the single atom by measuring the frequency of the spontaneously emitted photon even during the passage of the atom through the standing wave field. We predict a spatial resolution in position information of up to λ/60 where λ is the optical wavelength. \n \nDetuning of the coherent field with the atomic transition plays an important role in the characterization of the peaks present in the Autler- Townes spectrum of a three-level atom. Strong line narrowing is observed in one of the peaks of the Autler- Townes doublet depending on the choice of the detuning. We investigate how this detuning effects the position information of the atom inside the standing wave field in upper-level and lower-level coupling schemes of Autler- Townes microscopy. We show an enhancement in precision position measurement by factor of at least 4 in upper-level coupling scheme due to the quantum interference phenomenon. This enhancement is not observed in lower-level coupling scheme where the quantum interference is not taking place. \n \nWe also consider a system where a three-level atom is interacting with a monochromatic radiation field in such a way that the decay takes place from upper level to the intermediate level with a rate T and from intermediate level to lower level at a rate γ. This type of system exhibits a non stationary scattered light signal. We report the results of the spontaneous emission spectrum for non stationary scattered light signal by using the definition of time-dependent physical spectrum. This is a rare example of problems where time-dependent physical spectrum can be calculated exactly. We study the characteristics of the spontaneous spectrum for a resonant and off-resonant case and show that this physical spectrum recovers the results of earlier work quite successfully. We also show that the decay rate r disturbs the atomic coherence and finally eliminates the dark line from the center of the spontaneous spectrum. Here we only consider upper-level coupling case for the time-dependent spontaneous spectrum because in lower-level coupling case the system automatically evolved a pumping mechanism due to the coupling of ground level to the upper level via radiation field. Thus a steady-state limit exists in lower-level coupling scheme. \n \nWe investigate the phenomenon of atom localization by using the non stationary Autler-Townes microscopy. The decay rate T reduces the precision in position measurement which is consistent with the results of the non stationary spontaneous emission spectrum. This is due to the fact that for the upper-level coupling case, the standing wave field is coupled to atomic transition and it induces a coherence in the upper-level atomic transition but the spontaneous decay from the upper level to the intermediate level disturbs this coherence. When the effect of the spontaneous decay dominates the coherence effect the quantum interference phenomenon vanishes and thus the precision in localization reduces.

•Jan 1, 2000•0 citations

Time-dependent Emission Spectra from Molecular Wave Packets

Thomas J. Dunn, John N. Sweetser, Ian A. Walmsley +1 more

Get PDF Email Share Share with Facebook Tweet This Post on reddit Share with LinkedIn Add to CiteULike Add to Mendeley Add to BibSonomy Get Citation Copy Citation Text THOMAS J. DUNN, JOHN N. SWEETSER, IAN A. WALMSLEY, and CZESLAW RADZEWICZ, "Time-dependent Emission Spectra from Molecular Wave Packets," Optics & Photonics News 4(12), 39_1-40 (1993) Export Citation BibTex Endnote (RIS) HTML Plain Text Citation alert Save article

Optics and Photonics News•Dec 1, 1993•0 citations

Reconstruction of the Wigner function of the Schrödinger-cat state via time-dependent Autler-Townes spectroscopy

Tasnim Azim, Sajid Qamar, Muhammad Suhail Zubairy

Equivalent descriptions of the quantum state of the radiation field can be formulated in terms of the quasiprobability distributions such as P-representation, Q-representation, and the Wigner distribution function. The paper presents a physical and more realistic model for the reconstruction of the Wigner distribution function of the Schrödinger-cat state using time-dependent Autler-Townes spontaneous emission spectroscopy.

Journal of Modern Optics•Jan 1, 2002•11 citations
We study the spontaneous emission of atoms coupled to frequency-dependent photon-mode reservoirs, and find atomic emission spectra qualitatively different from those of free space. Frequency-dependent photon-mode reservoirs are found in a variety of physical situations (e.g., in waveguides, microcavities, dielectrics, systems with photonic spectral gaps, etc.), and are shown to lead to nonexponential decay and concomitant complicated non-Lorentzian emission line shapes. By studying Autler-Townes spectra in the presence of a frequency-dependent photon-mode density, we present simple examples of dynamical modifications of spontaneous decay properties.
Time-dependent spectra are calculated for the optical Autler-Townes effect in a three-level system without Doppler broadening and in the probe field approximation. Analytic expressions are also given for the steady-state spectra taking account of the finite laser linewidths, which are assumed to be due to phase diffusion. Comparison is made with time-dependent spectra in the related phenomenon of resonance fluorescence, and the differences pointed out. The effects of laser linewidths on the amplitude of the spectra are also discussed, and found to be marked. The method used in the calculations is that of generalised multiphoton rate equations.
Entanglement of the atom and field leads towards the measurement of the state of the atom or field depending on the kind of measurement made. Taking advantage of this fact, we propose spectroscopic methods for the single atom localization within the subwavelength domain of the optical standing wave field. \n \nWhen a two-level atom interacts with some intense radiation field the spectrum of the scattered light signal exhibits a three-peak Mollow spectrum. We propose a scheme of atom localization based on the resonance fluorescence from a two-level atom interacting with a standing wave field. The Rabi frequency is considered to be position dependent and therefore, the spontaneously emitted photon carries the information about the center-of-mass motion of the atom. This leads to the localization of the single atom by measuring the frequency of the spontaneously emitted photon even during the passage of the atom through the standing wave field. We predict a spatial resolution in position information of up to λ/60 where λ is the optical wavelength. \n \nDetuning of the coherent field with the atomic transition plays an important role in the characterization of the peaks present in the Autler- Townes spectrum of a three-level atom. Strong line narrowing is observed in one of the peaks of the Autler- Townes doublet depending on the choice of the detuning. We investigate how this detuning effects the position information of the atom inside the standing wave field in upper-level and lower-level coupling schemes of Autler- Townes microscopy. We show an enhancement in precision position measurement by factor of at least 4 in upper-level coupling scheme due to the quantum interference phenomenon. This enhancement is not observed in lower-level coupling scheme where the quantum interference is not taking place. \n \nWe also consider a system where a three-level atom is interacting with a monochromatic radiation field in such a way that the decay takes place from upper level to the intermediate level with a rate T and from intermediate level to lower level at a rate γ. This type of system exhibits a non stationary scattered light signal. We report the results of the spontaneous emission spectrum for non stationary scattered light signal by using the definition of time-dependent physical spectrum. This is a rare example of problems where time-dependent physical spectrum can be calculated exactly. We study the characteristics of the spontaneous spectrum for a resonant and off-resonant case and show that this physical spectrum recovers the results of earlier work quite successfully. We also show that the decay rate r disturbs the atomic coherence and finally eliminates the dark line from the center of the spontaneous spectrum. Here we only consider upper-level coupling case for the time-dependent spontaneous spectrum because in lower-level coupling case the system automatically evolved a pumping mechanism due to the coupling of ground level to the upper level via radiation field. Thus a steady-state limit exists in lower-level coupling scheme. \n \nWe investigate the phenomenon of atom localization by using the non stationary Autler-Townes microscopy. The decay rate T reduces the precision in position measurement which is consistent with the results of the non stationary spontaneous emission spectrum. This is due to the fact that for the upper-level coupling case, the standing wave field is coupled to atomic transition and it induces a coherence in the upper-level atomic transition but the spontaneous decay from the upper level to the intermediate level disturbs this coherence. When the effect of the spontaneous decay dominates the coherence effect the quantum interference phenomenon vanishes and thus the precision in localization reduces.