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

Annual Meeting Optical Society of America

Interference and collective behavior in atomic fluorescence

J.C. Robinson, F.L. Moore, Patrick R. Morrow, P.E. Williams, Mark G. Raizen

Published Jan 1, 1993• 0 citations
Publisher

Abstract

The study of collective atomic behavior is an important problem which has attracted much interest in recent years. Motivated by recent advances in ion trapping technology,1 and by a calculation of interference in the fluorescence from two atoms,2 we have investigated the effects of collective behavior on the interference fringe visibility. Interference in the fluorescence from two atoms separated by a fixed distance is examined as a function of driving laser and cavity parameters. The fringe visibility, a measure of the coherence of the atomic radiation, is calculated for the system of two driven atoms and the cavity mode. In free space, as the atoms are driven towards saturation, the visibility drops due to loss of coherence. The visibility goes from unity, at weak field, to 10% at saturation and falls off to zero asymptotically at higher fields. Dramatic improvement in visibility is found in the presence of the atom-cavity coupling, with the largest enhancement at intermediate driving field. This result indicates that induced coherence is a sensitive measure of collective behavior. Our progress in the experimental realization of this system with laser cooled beryllium ions confined in a linear trap is described, and directions for future work are indicated.

DOI
10.1364/oam.1993.mqq.3

Related papers

Interference and collective behavior in a small atomic system

Jason C. Robinson, F. L. Moore, Patrick R. Morrow +2 more

Collective atomic behavior is studied theoretically for the case of two atoms coupled to a resonant optical cavity. Interference in the fluorescence from two atoms separated by a fixed distance is examined as a function of driving laser and cavity parameters. The fringe visibility, a measure of the coherence of the atomic radiation, is calculated for the system of two driven atoms and the cavity mode. In free space, as the atoms are ,driven towards saturation, the visibility drops due, to loss of coherence. The visibility goes from unity, at weak field, to 10% at saturation. Dramatic improvement in visibility is found in the presence of the atom-cavity coupling, with the largest enhancement at intermediate driving field. This result indicates that induced coherence is a sensitive measure of collective behavior. Our progress in the experimental realization of this system with laser cooled beryllium ions confined in a linear trap is described, and directions for future work are indicated.

Bulletin of the American Physical Society•May 1, 1993•0 citations

Interference of resonance fluorescence from two four-level atoms

T. Wong, S. M. Tan, Matthew J. Collett +1 more

In a recent experiment by Eichmann et al. [Phys. Rev. Lett. 70, 2359 (1993)], polarization-sensitive measurements of the fluorescence from two four-level ions driven by a linearly polarized laser were made. Depending on the polarization chosen, different degrees of interference were observed. We carry out a theoretical and numerical study of this system, showing that the results can largely be understood by treating the atoms as independent radiators which are synchronized by the phase of the incident laser field. The interference and its loss may be described in terms of the difference between coherent and incoherent driving of the various atomic transitions in the steady state. In the numerical simulations, which are carried out using the Monte Carlo wave-function method, we remove the assumption that the atoms radiate independently and consider the photodetection process in detail. This allows us to see the total interference pattern build up from individual photodetections and also to see the effects of superfluorescence, which become important when the atomic separation is comparable to an optical wavelength. The results of the calculations are compared with the experiment. We also carry out simulations in the non-steady-state regime and discuss the relationship between the visibility of the interference pattern and which-path considerations.

arXiv:physics/9611028•Physical Review A•Feb 1, 1997•34 citations

Mutual Coherence and Interference in Resonance Fluorescence

P. Kochan, H. J. Carmichael, Patrick R. Morrow +1 more

We study theoretically the interference of the resonance fluorescence from two atoms coupled to an optical cavity mode. Atom-atom correlations induced by the cavity alter the fringe visibility, which provides a measurement of collective atomic behavior. We use quantum trajectories to explain the loss of mutual coherence for strong excitation and propose a phase-selective measurement to partially restore the coherence. A ``which-path'' explanation for the loss of coherence is also discussed.

Physical Review Letters•Jul 3, 1995•44 citations

Effect of laser driving and modified environments on the collective behaviour of a dense dipole-interacting atomic system

Ryan Jones

An ensemble of atoms coupled to the radiation field exhibits collective behaviours when the interatomic separation is comparable to the wavelength of photons emitted by the atoms. The collective coupling of the atoms with the electromagnetic field gives rise to coherent exchange interactions between the atoms. In addition, the spontaneous decay of photons from the ensemble becomes a collective process that can happen at a much faster (superradiant) or slower (subradiant) rate than that of a single atom. These processes affect the way that fluorescence light is scattered from the system when it is driven by a laser. However, little is known about the response of a dense atomic gas beyond the linear regime of very weak driving, due to the involved complexity of the problem. The first part of this thesis investigates how the presence of strong laser driving affects properties of the far-field fluorescence light emitted by the ensemble, such as the power spectrum and second order coherence. Depending on the strength of the driving laser and the particular arrangement of the atoms, the laser can modify considerably how the collective behaviours of the atomic ensemble are manifested in the fluorescence. The relative strengths of the coherent interaction and collective decay process are intrinsically linked to the way that the atoms couple to the radiation field; one cannot be changed without modifying the other. Altering the environment by, for example, placing the atoms near a surface or a waveguide, can change this relation significantly from that for atoms in free space. Therefore, modified environments represent a platform for the generation of otherwise inaccessible regimes of collective behaviour, with potential applications in quantum state engineering. The second part of this thesis provides a numerical investigation into how the collective properties of a dense atomic system can be manipulated by placing the atoms close to planar surfaces or an optical nanofiber. These structures modify the light-matter coupling by altering the electric field experienced by the atoms. It is shown that surfaces of metallic and dielectric materials can be used to either enhance or suppress the collective behaviours, depending on the particular system arrangement. In particular, the coupling of atoms with bound surface modes, such as the surface plasmon polaritons that are formed at an air-metal interface, is demonstrated to have a strong effect on the interactions. An optical nanofiber supports a set of fundamental guided modes, that propagate along the fiber. If the atoms are suitably polarised, then they will emit primarily into the guided modes travelling in one direction. By calculating and analysing the collective decay states of a chain of atoms placed near a nanofiber, it is demonstrated that the atom-fiber coupling leads to the formation of a superradiant mode that is preserved at large atomic separations. The presence of chiral emission is shown to introduce phase gradients to the collective modes.

•Dec 13, 2019•0 citations

Interference pattern with a dark center from two atoms driven by a coherent laser field

Terry Rudolph, Z. Ficek

In a recent paper Meyer and Yeoman [Phys. Rev. Lett. 79, 2650 (1997)] have shown that the resonance fluorescence from two atoms placed in a cavity and driven by an incoherent field can produce an interference pattern with a dark center. We study the fluorescence from two coherently driven atoms in free space and show that this system can also produce an interference pattern with a dark center. This happens when the atoms are in nonequivalent positions in the driving field, i.e., the atoms experience different intensities and phases of the driving field. We discuss the role of the interatomic interactions in this process and find that the interference pattern with a dark center results from the participation of the antisymmetric state in the dynamics of the driven two-atom system.

Physical Review A•Jul 1, 1998•15 citations

Weak-field transmitted and fluorescent spectra for an atom in a resonant cavity

Perry R. Rice, H. J. Carmichael

There is increasing interest in the photon statistics and spectroscopic properties of the radiation from atoms confined in an optical cavity. Effects such as the cavity enhancement and inhibition of spontaneous emission, which were first observed using microwave cavities, have recently been measured at optical frequencies.1 Recent measurements of squeezing and the dynamic effects of single-quantum-level splittings also demonstrate the possibilities for quantum-statistical studies of coupled atom-cavity systems at optical frequencies.2 We study a single two-level atom confined inside an optical cavity which is driven by coherent light in resonance with both cavity and atom. For weak driving field intensities we have calculated the spectrum of the light transmitted by the cavity and fluorescence out the sides of the cavity.

Annual Meeting Optical Society of America•Jan 1, 1987•0 citations
The study of collective atomic behavior is an important problem which has attracted much interest in recent years. Motivated by recent advances in ion trapping technology,1 and by a calculation of interference in the fluorescence from two atoms,2 we have investigated the effects of collective behavior on the interference fringe visibility. Interference in the fluorescence from two atoms separated by a fixed distance is examined as a function of driving laser and cavity parameters. The fringe visibility, a measure of the coherence of the atomic radiation, is calculated for the system of two driven atoms and the cavity mode. In free space, as the atoms are driven towards saturation, the visibility drops due to loss of coherence. The visibility goes from unity, at weak field, to 10% at saturation and falls off to zero asymptotically at higher fields. Dramatic improvement in visibility is found in the presence of the atom-cavity coupling, with the largest enhancement at intermediate driving field. This result indicates that induced coherence is a sensitive measure of collective behavior. Our progress in the experimental realization of this system with laser cooled beryllium ions confined in a linear trap is described, and directions for future work are indicated.
Collective atomic behavior is studied theoretically for the case of two atoms coupled to a resonant optical cavity. Interference in the fluorescence from two atoms separated by a fixed distance is examined as a function of driving laser and cavity parameters. The fringe visibility, a measure of the coherence of the atomic radiation, is calculated for the system of two driven atoms and the cavity mode. In free space, as the atoms are ,driven towards saturation, the visibility drops due, to loss of coherence. The visibility goes from unity, at weak field, to 10% at saturation. Dramatic improvement in visibility is found in the presence of the atom-cavity coupling, with the largest enhancement at intermediate driving field. This result indicates that induced coherence is a sensitive measure of collective behavior. Our progress in the experimental realization of this system with laser cooled beryllium ions confined in a linear trap is described, and directions for future work are indicated.
In a recent experiment by Eichmann et al. [Phys. Rev. Lett. 70, 2359 (1993)], polarization-sensitive measurements of the fluorescence from two four-level ions driven by a linearly polarized laser were made. Depending on the polarization chosen, different degrees of interference were observed. We carry out a theoretical and numerical study of this system, showing that the results can largely be understood by treating the atoms as independent radiators which are synchronized by the phase of the incident laser field. The interference and its loss may be described in terms of the difference between coherent and incoherent driving of the various atomic transitions in the steady state. In the numerical simulations, which are carried out using the Monte Carlo wave-function method, we remove the assumption that the atoms radiate independently and consider the photodetection process in detail. This allows us to see the total interference pattern build up from individual photodetections and also to see the effects of superfluorescence, which become important when the atomic separation is comparable to an optical wavelength. The results of the calculations are compared with the experiment. We also carry out simulations in the non-steady-state regime and discuss the relationship between the visibility of the interference pattern and which-path considerations.
We study theoretically the interference of the resonance fluorescence from two atoms coupled to an optical cavity mode. Atom-atom correlations induced by the cavity alter the fringe visibility, which provides a measurement of collective atomic behavior. We use quantum trajectories to explain the loss of mutual coherence for strong excitation and propose a phase-selective measurement to partially restore the coherence. A ``which-path'' explanation for the loss of coherence is also discussed.
An ensemble of atoms coupled to the radiation field exhibits collective behaviours when the interatomic separation is comparable to the wavelength of photons emitted by the atoms. The collective coupling of the atoms with the electromagnetic field gives rise to coherent exchange interactions between the atoms. In addition, the spontaneous decay of photons from the ensemble becomes a collective process that can happen at a much faster (superradiant) or slower (subradiant) rate than that of a single atom. These processes affect the way that fluorescence light is scattered from the system when it is driven by a laser. However, little is known about the response of a dense atomic gas beyond the linear regime of very weak driving, due to the involved complexity of the problem. The first part of this thesis investigates how the presence of strong laser driving affects properties of the far-field fluorescence light emitted by the ensemble, such as the power spectrum and second order coherence. Depending on the strength of the driving laser and the particular arrangement of the atoms, the laser can modify considerably how the collective behaviours of the atomic ensemble are manifested in the fluorescence. The relative strengths of the coherent interaction and collective decay process are intrinsically linked to the way that the atoms couple to the radiation field; one cannot be changed without modifying the other. Altering the environment by, for example, placing the atoms near a surface or a waveguide, can change this relation significantly from that for atoms in free space. Therefore, modified environments represent a platform for the generation of otherwise inaccessible regimes of collective behaviour, with potential applications in quantum state engineering. The second part of this thesis provides a numerical investigation into how the collective properties of a dense atomic system can be manipulated by placing the atoms close to planar surfaces or an optical nanofiber. These structures modify the light-matter coupling by altering the electric field experienced by the atoms. It is shown that surfaces of metallic and dielectric materials can be used to either enhance or suppress the collective behaviours, depending on the particular system arrangement. In particular, the coupling of atoms with bound surface modes, such as the surface plasmon polaritons that are formed at an air-metal interface, is demonstrated to have a strong effect on the interactions. An optical nanofiber supports a set of fundamental guided modes, that propagate along the fiber. If the atoms are suitably polarised, then they will emit primarily into the guided modes travelling in one direction. By calculating and analysing the collective decay states of a chain of atoms placed near a nanofiber, it is demonstrated that the atom-fiber coupling leads to the formation of a superradiant mode that is preserved at large atomic separations. The presence of chiral emission is shown to introduce phase gradients to the collective modes.
In a recent paper Meyer and Yeoman [Phys. Rev. Lett. 79, 2650 (1997)] have shown that the resonance fluorescence from two atoms placed in a cavity and driven by an incoherent field can produce an interference pattern with a dark center. We study the fluorescence from two coherently driven atoms in free space and show that this system can also produce an interference pattern with a dark center. This happens when the atoms are in nonequivalent positions in the driving field, i.e., the atoms experience different intensities and phases of the driving field. We discuss the role of the interatomic interactions in this process and find that the interference pattern with a dark center results from the participation of the antisymmetric state in the dynamics of the driven two-atom system.
There is increasing interest in the photon statistics and spectroscopic properties of the radiation from atoms confined in an optical cavity. Effects such as the cavity enhancement and inhibition of spontaneous emission, which were first observed using microwave cavities, have recently been measured at optical frequencies.1 Recent measurements of squeezing and the dynamic effects of single-quantum-level splittings also demonstrate the possibilities for quantum-statistical studies of coupled atom-cavity systems at optical frequencies.2 We study a single two-level atom confined inside an optical cavity which is driven by coherent light in resonance with both cavity and atom. For weak driving field intensities we have calculated the spectrum of the light transmitted by the cavity and fluorescence out the sides of the cavity.