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 and Spectroscopy

Auto-and cross-correlation functions of a one-atom laser in a regime of strong coupling

T. B. Karlovich, S. Ya. Kilin

Published Aug 1, 2007• 10 citations
Publisher

Abstract

The spectral properties of an incoherently pumped one-atom laser operating in a regime of strong coupling are studied. The spectrum of the field outgoing from the cavity, the spectrum of resonance fluorescence of an atom, and the spectrum of the atom—field cross-correlation function are numerically calculated. Relations between the parameters of the system for which spectral lines corresponding to eigenstates of the Jaynes—Cummings Hamiltonian are resolved are found. A method for determining the widths of resonances from the spectrum of the atom—field cross-correlation function is proposed, and a procedure for measuring this function using spectroscopy of intensity fluctuations is described.

DOI
10.1134/s0030400x07080188

Related papers

Fluorescence spectrum of a one-atom laser in the strong-coupling regime

T. B. Karlovich, S. Ya. Kilin

The multicomponent spectrum of the resonance fluorescence is studied based on the expansion of the Green function with respect to the coherent states for a one-atom laser. An analytical solution is derived for the spectrum in the frequency range corresponding to the vacuum Rabi oscillations in the approximation of the strong atom-field coupling and a low incoherent pump intensity.

Laser Physics•Jun 1, 2008•8 citations

A one-atom laser in a regime of strong coupling

Jason McKeever, Andreea Boca, A. David. Boozer +2 more

Although conventional lasers operate with a large number of intracavity atoms, the lasing properties of a single atom in a resonant cavity have been theoretically investigated for more than a decade. Here we report the experimental realization of such a one-atom laser operated in a regime of strong coupling. Our experiment exploits recent advances in cavity quantum electrodynamics that allow one atom to be isolated in an optical cavity in a regime for which one photon is sufficient to saturate the atomic transition. In this regime the observed characteristics of the atom-cavity system are qualitatively different from those of the familiar many atom case. Specifically, we present measurements of intracavity photon number versus pump intensity that exhibit "thresholdless" behavior, and infer that the output flux from the cavity mode exceeds that from atomic fluorescence by more than tenfold. Observations of the second-order intensity correlation function demonstrate that our one-atom laser generates manifestly nonclassical light that exhibits both photon antibunching and sub-Poissonian photon statistics.

arXiv:quant-ph/0309199•Frontiers in Optics•Jan 1, 2003•2 citations

Position-dependent antibunching and spectral profiles from two fluorescing atoms in an optical resonator

Gordon Yeoman, Georg M. Meyer

We demonstrate that two incoherently pumped atoms coupled to an optical resonator produce light with position-dependent field and intensity correlations. The fluorescence spectrum may comprise one, two or three peaks, while the second-order correlation function exhibits bunched or antibunched photon statistics depending on the position of the measurement. These dynamical quantum effects are connected to cavity-induced anticorrelation of the atomic dipoles ( Phys. Rev. Lett. , 79 (1997) 2650).

Europhysics Letters (EPL)•Apr 15, 1998•2 citations

Resonance fluorescence spectrum of an atom strongly coupled to a cavity

Craig M. Savage

The spectrum of the resonance fluorescence light from a single two-level atom in a small, high-quality, optical cavity is calculated. The coupling between the atom and cavity is made sufficiently strong compared to the dissipation that single quantum frequency splitting (vacuum Rabi splitting) occurs. Under high excitation qualitatively new fluorescent spectra are predicted. The usual three-peaked resonance fluorescence spectrum now has sidebands whose width is given by the Jaynes-Cummings atom-cavity coupling coefficient rather than by the system dissipation.

Physical Review Letters•Sep 25, 1989•40 citations

Comparison of theory and experiment for a one-atom laser in a regime of strong coupling

A. David. Boozer, Andreea Boca, J. R. Buck +2 more

Our recent paper reports the experimental realization of a one-atom laser in a regime of strong coupling [J. McKeever, A. Boca, A. D. Boozer, J. R. Buck, and H. J. Kimble, Nature (London) 425, 268 (2003)]. Here we provide the supporting theoretical analysis relevant to the operating regime of our experiment. By way of a simplified four-state model, we investigate the passage from the domain of conventional laser theory into the regime of strong coupling for a single intracavity atom pumped by coherent external fields. The four-state model is also employed to exhibit the vacuum-Rabi splitting and to calculate the optical spectrum. We next extend this model to incorporate the relevant Zeeman hyperfine states as well as a simple description of the pumping processes in the presence of polarization gradients and atomic motion. This extended model is employed to make quantitative comparisons with our earlier measurements for the intracavity photon number versus pump strength and for the photon statistics as expressed by the intensity correlation function ${g}^{(2)}(\ensuremath{\tau})$.

arXiv:quant-ph/0309133•Physical Review A•Aug 25, 2004•38 citations

Cross correlations between fluorescent and transmitted photons in single-atom cavity-enhanced absorption

Perry R. Rice, Xiaoyi Wang, H. J. Carmichael

We study a single two-level atom interacting on resonance with a weakly driven optical cavity mode. In earlier work on this system we calculated the degree of second-order coherence, the optical spectrum, and the spectrum of squeezing for both the transmitted light and fluorescence out the sides of the cavity.1,2 We present results for the cross-correlation functions that determine joint probabilities for a photodetection in transmission (fluorescence) followed by a photodetection in fluorescence (transmission). We compute these correlation functions numerically for arbitrary values of the three rates that govern the system dynamics: the atomic decay rate γ to modes other than the cavity mode, the photon escape rate from the cavity 2K, and the atom-field coupling constant g. Analytical results provide insight for the following limits of the parameters: (1) the bad-cavity limit, κ/γ→∞,κ/g→∞,g2/κγ constant; (2) the atomic-loss limit, κ/γ→0,κ/g→0,γ/g constant; (3) the cavity-loss limit, γ/κ→0,γ/g→0,g/κ constant; and (4) the good-cavity limit, k/γ→0,k/g→0,g2/κγ constant. In the bad-cavity limit the cross-correlation functions are symmetric with respect to the order of detection in transmission and fluorescence; in general they are not symmetric.

Annual Meeting Optical Society of America•Jan 1, 1988•1 citation
The spectral properties of an incoherently pumped one-atom laser operating in a regime of strong coupling are studied. The spectrum of the field outgoing from the cavity, the spectrum of resonance fluorescence of an atom, and the spectrum of the atom—field cross-correlation function are numerically calculated. Relations between the parameters of the system for which spectral lines corresponding to eigenstates of the Jaynes—Cummings Hamiltonian are resolved are found. A method for determining the widths of resonances from the spectrum of the atom—field cross-correlation function is proposed, and a procedure for measuring this function using spectroscopy of intensity fluctuations is described.
Although conventional lasers operate with a large number of intracavity atoms, the lasing properties of a single atom in a resonant cavity have been theoretically investigated for more than a decade. Here we report the experimental realization of such a one-atom laser operated in a regime of strong coupling. Our experiment exploits recent advances in cavity quantum electrodynamics that allow one atom to be isolated in an optical cavity in a regime for which one photon is sufficient to saturate the atomic transition. In this regime the observed characteristics of the atom-cavity system are qualitatively different from those of the familiar many atom case. Specifically, we present measurements of intracavity photon number versus pump intensity that exhibit "thresholdless" behavior, and infer that the output flux from the cavity mode exceeds that from atomic fluorescence by more than tenfold. Observations of the second-order intensity correlation function demonstrate that our one-atom laser generates manifestly nonclassical light that exhibits both photon antibunching and sub-Poissonian photon statistics.
The spectrum of the resonance fluorescence light from a single two-level atom in a small, high-quality, optical cavity is calculated. The coupling between the atom and cavity is made sufficiently strong compared to the dissipation that single quantum frequency splitting (vacuum Rabi splitting) occurs. Under high excitation qualitatively new fluorescent spectra are predicted. The usual three-peaked resonance fluorescence spectrum now has sidebands whose width is given by the Jaynes-Cummings atom-cavity coupling coefficient rather than by the system dissipation.
Our recent paper reports the experimental realization of a one-atom laser in a regime of strong coupling [J. McKeever, A. Boca, A. D. Boozer, J. R. Buck, and H. J. Kimble, Nature (London) 425, 268 (2003)]. Here we provide the supporting theoretical analysis relevant to the operating regime of our experiment. By way of a simplified four-state model, we investigate the passage from the domain of conventional laser theory into the regime of strong coupling for a single intracavity atom pumped by coherent external fields. The four-state model is also employed to exhibit the vacuum-Rabi splitting and to calculate the optical spectrum. We next extend this model to incorporate the relevant Zeeman hyperfine states as well as a simple description of the pumping processes in the presence of polarization gradients and atomic motion. This extended model is employed to make quantitative comparisons with our earlier measurements for the intracavity photon number versus pump strength and for the photon statistics as expressed by the intensity correlation function ${g}^{(2)}(\ensuremath{\tau})$.
We study a single two-level atom interacting on resonance with a weakly driven optical cavity mode. In earlier work on this system we calculated the degree of second-order coherence, the optical spectrum, and the spectrum of squeezing for both the transmitted light and fluorescence out the sides of the cavity.1,2 We present results for the cross-correlation functions that determine joint probabilities for a photodetection in transmission (fluorescence) followed by a photodetection in fluorescence (transmission). We compute these correlation functions numerically for arbitrary values of the three rates that govern the system dynamics: the atomic decay rate γ to modes other than the cavity mode, the photon escape rate from the cavity 2K, and the atom-field coupling constant g. Analytical results provide insight for the following limits of the parameters: (1) the bad-cavity limit, κ/γ→∞,κ/g→∞,g2/κγ constant; (2) the atomic-loss limit, κ/γ→0,κ/g→0,γ/g constant; (3) the cavity-loss limit, γ/κ→0,γ/g→0,g/κ constant; and (4) the good-cavity limit, k/γ→0,k/g→0,g2/κγ constant. In the bad-cavity limit the cross-correlation functions are symmetric with respect to the order of detection in transmission and fluorescence; in general they are not symmetric.