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

Cavity quantum electrodynamics with a small number of atoms

P. M. Alsing, Craig M. Savage

Published Jan 1, 1992• 0 citations
Publisher

Abstract

With the aid of supercomputer models we numerically investigate the exact solutions for a small number of atoms (typically 1–10) interacting with a single quantized mode of an electromagnetic cavity that is driven by an external coherent field. Effects of spontaneous emission and a nonzero cavity decay rate are included. We investigate the strong coupling regime where the atom-field coupling constant is much greater than the dissipation rates to the external environment. In this regime, the usual system size expansions of quantum statistical physics are not applicable and a full numerical solution is required. We model the recently reported experimental observations of Rabi oscillations in the second order coherence function1 g(2)(τ) and compare and contrast the results with an effective single atom-cavity model with an appropriately scaled coupling constant. In addition, the steady state field distribution for the few-atom-cavity system is explored. A multipeaked phase distribution is found that generalizes the bimodal phase distribution found in the single-atom-cavity case.2 Spectra for the few-atom-cavity system are investigated in the weak and strong driving field limits.

DOI
10.1364/oam.1992.wj3

Related papers

Coherent and incoherent laser pump on a five-level atom in a strongly coupled cavity-QED system

Asha Devi, Sarath D. Gunapala, Malin Premaratne

We propose a cavity quantum electrodynamic system consisting of a five-level atom coupled to a single mode of the cavity electromagnetic field. The study is focused on the regime of strong coupling between the cavity and atom. Pump laser fields and cavity fields connect the split energy levels of the atom. Instead of the well-known two-level Dicke model obtained by adiabatic elimination of the high-energy levels, we consider the pump lasers' detunings to the atomic transitions to be very small such that we can examine the influence of the higher-energy states. We have studied the effect of an external coherent drive and incoherent pumping on these higher-energy levels and observed the enhancement of intracavity photon numbers due to quantum coherence effects. The amplification of intracavity photons is achieved even without a population inversion. However, the effect of the coherent and incoherent drive is negligible for very large detunings when the higher-energy states are adiabatically eliminated. At zero and small detunings, the system reaches the steady state at an earlier instant of time for higher incoherent pumping. We find an almost agreeable steady-state behavior of the system's exact full quantum dynamics model and its semiclassical approximation. Our model tries to accurately simulate the open system by considering the cavity decay, spontaneous decay, and dephasing of the system.

Physical Review A•Jan 3, 2022•12 citations

Quantum and Semiclassical Calculations of Cavity QED Spectra

L. Tian

In this dissertation we study the interaction of a single atom with a single mode of the electromagnetic field in an optical cavity. We emphasize strong coupling conditions, where the dipole coupling strength is larger than the dissipation rates of the cavity and the atom. By exciting the coupled atom and cavity mode with an external field, the excited-state spectroscopy of the coupled system is explored. Both quantum mechanical and semiclassical calculations are performed and their results are compared. In the limit of a weak driving field, both results show a two-peak ("vacuum" Rabi) spectrum. With increased strength of the driving field, differences are observed. The quantum calculation shows a multi-peak ( two "vacuum" Rabi peaks plus additional peaks) spectrum, while the semiclassical calculation does not. These additional peaks are produced by transitions between the excited states of the Jaynes-Cummings IV Hamiltonian indicative of the quantum nature of the coupled atom-cavity-mode system.

•Jan 1, 1994•0 citations

Quantum signatures of collective behavior of a coherently driven two atom system coupled to a single-mode of the electromagnetic field

Marc-Oliver Pleinert, Joachim von Zanthier, G. S. Agarwal

We present a study of the quantum statistical properties of light emitted by two coherently driven atoms coupled to a single-mode cavity, an ideal setup to precisely investigate various aspects of collective behavior over a wide range of couplings to cavity and external drive. At high pumping and coupling, we predict the possibility of steady-state hyperradiance accompanied by (super-)bunching for an out of phase radiation. The mean photon number can be up to $2$ orders of magnitude higher than in the single atom case. The highest nonclassicality in the sense of the smallest Mandel $Q$ parameter is found when spontaneous emission, cavity decay, coherent pumping, and atom-cavity coupling are comparable. A quantum version of the negative binomial distribution with parameters directly related to $Q$ characterizes the photon distribution in the cavity and its quantum features.

•Jul 30, 2016•1 citation

Structure and dynamics in cavity quantum electrodynamics

Harry J. Kimble, Eugene Simon Polzik, Gerhard Rempe +1 more

For the most part, quantum statistical processes in quantum optics are investigated in a weak-coupling regime, but it has become possible recently to realize experimentally optical systems for which the internal coupling coefficient g is comparable to the external dissipative rates. Within, this context, the subject of our investigation is the quantum dynamical processes for a small collection of N two-state atoms strongly coupled to a single mode of a high-finesse optical cavity. For this system, we record input-output characteristics for steady-state operation with 3 ⪝ N ⪝ 65 intracavity atoms and observe optical bistability for N⪞15 atoms.1

Quantum Electronics and Laser Science Conference•May 10, 1992•37 citations

Simulation and Comparison Possibility of Cavity Quantum Systems at Different Levels in Various Regimes, Coupled with the Fock and Coherent Initial Conditions

Mehdi Hassani Keleshtery, Ali Mir, Hassan Kaatuzian

In this article, we have given the size of the coupling constant, a system of quantum electro-dynamics in weak coupling regime, strong and very strong case our analysis and simulation. Also by choosing the type of quantum system and the electrical field of the electromagnetic wave, the size of Rabi frequency to the extent that we are less than excited states and photons in the cavity decay rate is. In this case, the interaction between the quantum system and electromagnetic field coupling regime is weak. It is one of the properties of quantum light emitting modes of the cavity modes can be in resonance with each other, resulting in a sudden increase in the spontaneous emission rate, causing a sharp peak in the density of the spontaneous emission spectrum. The nature of this regime leads to appropriate in light production applications, such as it is possible to increase efficiency, reduce the threshold lasers emitting light in alignment with the vertical cavity structure light emitting diodes noted. Also property is listed under the regime of entangled photons is used in the production of instant. While this research, the rotating wave approximation is used in this context, survival and annihilation operators of photons Sinusoidal behavior.

Majlesi Journal of Telecommunication Devices•Dec 21, 2015•0 citations

Photon correlations and spectra in the bimodal regime of single-atom cavity-enhanced absorption

P. M. Alsing, H. J. Carmichael, Perry R. Rice

We recently reported that the transmitted light from a driven optical cavity containing a single-atom absorber shows strong nonclassical features.1 Also, Savage and Carmichael2 have shown that this single-atom system can be operated in a regime in which the transmitted light has a bimodal photon-counting distribution; as the saturation photon number is increased this bimodality develops into a single-atom version of absorptive optical bistability. We present results for the degree of second-order coherence and the spectrum of the transmitted light in the operating regime at the onset of bimodality. In this regime we can study the onset of low frequency behavior associated with transitions between the local states defined by the peaks of the bimodal distribution. Our results are calculated numerically, using a supercomputer to solve matrix element equations derived in the Fock-state basis. Our numerical approach also allows us to extend our analytical study of nonclassical effects in single-atom cavity-enhanced absorption. Our analytical results are restricted either to the bad-cavity limit1 or to weak driving fields outside this limit. We can now study how the nonclassical effects identified in these analytical calculations are changed by using finite driving fields outside the bad-cavity limit.

Annual Meeting Optical Society of America•Jan 1, 1988•0 citations
With the aid of supercomputer models we numerically investigate the exact solutions for a small number of atoms (typically 1–10) interacting with a single quantized mode of an electromagnetic cavity that is driven by an external coherent field. Effects of spontaneous emission and a nonzero cavity decay rate are included. We investigate the strong coupling regime where the atom-field coupling constant is much greater than the dissipation rates to the external environment. In this regime, the usual system size expansions of quantum statistical physics are not applicable and a full numerical solution is required. We model the recently reported experimental observations of Rabi oscillations in the second order coherence function1 g(2)(τ) and compare and contrast the results with an effective single atom-cavity model with an appropriately scaled coupling constant. In addition, the steady state field distribution for the few-atom-cavity system is explored. A multipeaked phase distribution is found that generalizes the bimodal phase distribution found in the single-atom-cavity case.2 Spectra for the few-atom-cavity system are investigated in the weak and strong driving field limits.
We propose a cavity quantum electrodynamic system consisting of a five-level atom coupled to a single mode of the cavity electromagnetic field. The study is focused on the regime of strong coupling between the cavity and atom. Pump laser fields and cavity fields connect the split energy levels of the atom. Instead of the well-known two-level Dicke model obtained by adiabatic elimination of the high-energy levels, we consider the pump lasers' detunings to the atomic transitions to be very small such that we can examine the influence of the higher-energy states. We have studied the effect of an external coherent drive and incoherent pumping on these higher-energy levels and observed the enhancement of intracavity photon numbers due to quantum coherence effects. The amplification of intracavity photons is achieved even without a population inversion. However, the effect of the coherent and incoherent drive is negligible for very large detunings when the higher-energy states are adiabatically eliminated. At zero and small detunings, the system reaches the steady state at an earlier instant of time for higher incoherent pumping. We find an almost agreeable steady-state behavior of the system's exact full quantum dynamics model and its semiclassical approximation. Our model tries to accurately simulate the open system by considering the cavity decay, spontaneous decay, and dephasing of the system.
In this dissertation we study the interaction of a single atom with a single mode of the electromagnetic field in an optical cavity. We emphasize strong coupling conditions, where the dipole coupling strength is larger than the dissipation rates of the cavity and the atom. By exciting the coupled atom and cavity mode with an external field, the excited-state spectroscopy of the coupled system is explored. Both quantum mechanical and semiclassical calculations are performed and their results are compared. In the limit of a weak driving field, both results show a two-peak ("vacuum" Rabi) spectrum. With increased strength of the driving field, differences are observed. The quantum calculation shows a multi-peak ( two "vacuum" Rabi peaks plus additional peaks) spectrum, while the semiclassical calculation does not. These additional peaks are produced by transitions between the excited states of the Jaynes-Cummings IV Hamiltonian indicative of the quantum nature of the coupled atom-cavity-mode system.
We present a study of the quantum statistical properties of light emitted by two coherently driven atoms coupled to a single-mode cavity, an ideal setup to precisely investigate various aspects of collective behavior over a wide range of couplings to cavity and external drive. At high pumping and coupling, we predict the possibility of steady-state hyperradiance accompanied by (super-)bunching for an out of phase radiation. The mean photon number can be up to 222 orders of magnitude higher than in the single atom case. The highest nonclassicality in the sense of the smallest Mandel QQQ parameter is found when spontaneous emission, cavity decay, coherent pumping, and atom-cavity coupling are comparable. A quantum version of the negative binomial distribution with parameters directly related to QQQ characterizes the photon distribution in the cavity and its quantum features.
For the most part, quantum statistical processes in quantum optics are investigated in a weak-coupling regime, but it has become possible recently to realize experimentally optical systems for which the internal coupling coefficient g is comparable to the external dissipative rates. Within, this context, the subject of our investigation is the quantum dynamical processes for a small collection of N two-state atoms strongly coupled to a single mode of a high-finesse optical cavity. For this system, we record input-output characteristics for steady-state operation with 3 ⪝ N ⪝ 65 intracavity atoms and observe optical bistability for N⪞15 atoms.1
In this article, we have given the size of the coupling constant, a system of quantum electro-dynamics in weak coupling regime, strong and very strong case our analysis and simulation. Also by choosing the type of quantum system and the electrical field of the electromagnetic wave, the size of Rabi frequency to the extent that we are less than excited states and photons in the cavity decay rate is. In this case, the interaction between the quantum system and electromagnetic field coupling regime is weak. It is one of the properties of quantum light emitting modes of the cavity modes can be in resonance with each other, resulting in a sudden increase in the spontaneous emission rate, causing a sharp peak in the density of the spontaneous emission spectrum. The nature of this regime leads to appropriate in light production applications, such as it is possible to increase efficiency, reduce the threshold lasers emitting light in alignment with the vertical cavity structure light emitting diodes noted. Also property is listed under the regime of entangled photons is used in the production of instant. While this research, the rotating wave approximation is used in this context, survival and annihilation operators of photons Sinusoidal behavior.
We recently reported that the transmitted light from a driven optical cavity containing a single-atom absorber shows strong nonclassical features.1 Also, Savage and Carmichael2 have shown that this single-atom system can be operated in a regime in which the transmitted light has a bimodal photon-counting distribution; as the saturation photon number is increased this bimodality develops into a single-atom version of absorptive optical bistability. We present results for the degree of second-order coherence and the spectrum of the transmitted light in the operating regime at the onset of bimodality. In this regime we can study the onset of low frequency behavior associated with transitions between the local states defined by the peaks of the bimodal distribution. Our results are calculated numerically, using a supercomputer to solve matrix element equations derived in the Fock-state basis. Our numerical approach also allows us to extend our analytical study of nonclassical effects in single-atom cavity-enhanced absorption. Our analytical results are restricted either to the bad-cavity limit1 or to weak driving fields outside this limit. We can now study how the nonclassical effects identified in these analytical calculations are changed by using finite driving fields outside the bad-cavity limit.