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

International Conference on Laser and Fiber-Optical Networks Modeling

Cavity-controlled cooperative nonlinear optical effects under emission and absorption of single resonance photons by two level atoms trapped in lossless and damped micro-cavities

Vladislav Cheltsov

Published Jul 8, 2004• 0 citations
Publisher

Abstract

In this paper, the nonperturbative version of theory displays new nonlinear properties of the cavity-controlled cooperative spontaneous emission from the compound system. One of the important features of the theory is that it accounts automatically re-absorptions of photons in the cavity. Another important result is the description of "dark" and "luminous" states of two atoms in the cavity: couples of atoms bound with other by virtual photon of the cavity mode.

DOI
10.1109/lfnm.2003.1246064

Related papers

NEW NONLINEAR OPTICAL EFFECTS IN EMISSION AND ABSORPTION OF INDIVUDUAL RESONANCE PHOTONS BY TWO LEVEL ATOMS TRAPPED IN DAMPED MICROCAVITY

Vladislav Cheltsov

The new cooperative nonlinear effects in emission and absorption of resonance photon by two level atoms trapped in damped single-mode one-dimensional microcavity have been revealed and investigated nonpertubatibely. Two cases have been considered: the case of an excited ultracold atom localized initially in the ground vibrational state of the trap's parabolic well and the case of one and two two level motionless atoms in diferent initial states. The dynamics and spectrum of emission (absorption) have been shown to be determined in particular by o --the rate of decaying of mode in the empty cavity. The gigantic optical "Moessbauer" effect has been discovered under resonance condition <$>\omega _v=2g<$>. Out of this condition there arise numerous resonances of the higher order on different frequencies so that one thermal impulse has been observed instead of the "Moessbauer peak". In the case of two motonless atoms non-emitting ("dark") antisymmetric and emitting ("luminous") symmetric atomic superpositional states have been revealed.

Molecular crystals and liquid crystals science and technology. Section B, Nonlinear optics/Molecular crystals and liquid crystals scienceand technology. Section B, Nonlinear optics/Nonlinear optics•Jan 1, 2002•0 citations

NEW NONLINEAR OPTICAL EFFECTS IN EMISSION AND ABSORPTION OF INDIVUDUAL RESONANCE PHOTONS BY TWO LEVEL ATOMS TRAPPED IN DAMPED MICROCAVITY

Vladislav Cheltsov

The new cooperative nonlinear effects in emission and absorption of resonance photon by two level atoms trapped in damped single-mode one-dimensional microcavity have been revealed and investigated nonpertubatibely. Two cases have been considered: the case of an excited ultracold atom localized initially in the ground vibrational state of the trap's parabolic well and the case of one and two two level motionless atoms in diferent initial states. The dynamics and spectrum of emission (absorption) have been shown to be determined in particular by o --the rate of decaying of mode in the empty cavity. The gigantic optical ''Moessbauer'' effect has been discovered under resonance condition \omega _v=2g . Out of this condition there arise numerous resonances of the higher order on different frequencies so that one thermal impulse has been observed instead of the ''Moessbauer peak''. In the case of two motonless atoms non-emitting (''dark'') antisymmetric and emitting (''luminous'') symmetric atomic superpositional states have been revealed.

Molecular crystals and liquid crystals science and technology. Section B, Nonlinear optics/Molecular crystals and liquid crystals scienceand technology. Section B, Nonlinear optics/Nonlinear optics•Jan 1, 2002•0 citations

Spectral properties and nonlinear dynamics of a spontaneous photon emitted by two level atom trapped in damped nanocavity with a single resonance mode

Vladislav Cheltsov

The nonperturbative theory of the cooperative spontaneous emission from a two level atom trapped in one-dimentional damped nanocavity with a single resonance mode is presented. The time-dependent spectral properties and nonlinear dynamics of a separate photon emission by the micro-molecular-like system "excited atom coupled to a resonance decaying mode" have been analyzed. The investigation has been carried out by solving the Schrödinger equation in the interaction picture with the help of the Green functions method in the Heitler-Ma's form. The formalism was supplemented with the novel algorithm in operating causal singular functions and with fundamentals of the theory of quasi-stationary systems. The proposed theory accounts automatically of both reabsorptions of emitted photon and its simultaneous escaping out of the cavity. Solutions of the wave equation were found without using intermediate virtual states and series expansions. In accordance with the theory of quasi-stationary systems the field of mode decaying exponentially in the empty nanocavity was represented with the Lorenz-shaped packet of stationary photonic states (quasi-modes). The electro-dipolar interaction between the atom and the mode field was adopted to be switched on suddenly. The expressions and plots of emission probabilities spectral densities together with photon emission probability dynamics as functions of time for various ratios Γ/4g of photon escaping rate Γ and coupling constant g are presented. For Γ/4g <1 the transient emission spectrum reveals the presence of two symmetrical side-bands and of the central peak, the latter decaying in time at the rate ∝ Γ/2 so that the final spectrum is a doublet. In this case the photon emission probability is described by decaying oscillations. On the contrary for Γ/4g ≥ 1 the spectrum is a singlet and the emission occurs in exponentially decaying ways.

Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE•Apr 18, 2008•1 citation

Nonperturbative theory of cavity-controlled spontaneous emission of two level atom in microcavity

Vladislav Cheltsov

Cavity-controlled spontaneous emission spectrum of two level atom coupled to two lossless symmetrically detuned modes has been found rigorously to be a function of the system's energy eigenvalues and displays triplet, doublet or singlet form depending on detuning, natural linewidth and coupling constant.

17th Congress of the International Commission for Optics: Optics for Science and New Technology•Sep 1, 1996•0 citations

Frequency-time distribution of a spontaneous photon emitted by two level atom in one-dimensional damped nanocavity with a single resonance mode

Vladislav Cheltsov

The nonperturbative theory of the cooperative spontaneous emission from a two level atom trapped in one-dimensional damped nanocavity with a single resonance mode is presented. The time-dependent spectral properties and nonlinear dynamics of a separate photon emission by the macroolecular-like system "excited atom coupled to a resonance decaying mode" have been analyzed. The investigation has been carried out by solving the Schrödinger equation in the interaction picture with the help of the Green functions method in the Heitler-Ma's form . The formalism was supplemented with the novel algorithm in operating causal singular functions and with fundamentals of the theory of quantum quasi-stationary systems. The proposed theory accounts automatically of both reabsorptions of emitted photon and its simultaneous escaping out of the cavity. Solutions of the wave equation were found without using intermediate virtual states and series expansions. In accordance with the theory of quasistationary systems the field of mode decaying exponentially in the empty nanocavity was represented with the Lorenz-shaped packet of stationary photonic states (quasi-modes). The electro-dipolar interaction between the atom and the mode field was adopted to be switched on suddenly. The expressions and plots of emission spectral densities probabilities together with photon emission probability dynamics as functions of time for various ratios Γ/4g. For Γ/4g<1 the transient emission spectrum reveals the presence of two symmetrical side-bands and the central peak interconnected with each other in the area of interaction with the atom. Since the central component oscillates, decaying simultaneously in time at two rates infinity Γ/2 and ~ Γ/4, in the area of interaction the emission is a triplet with satellites oscillating in the interaction area and being stable outside of it. So the final spectrum is a doublet outside of nanocavity. On the contrary for Γ/4g ≥1 the spectrum is a singlet, and the emission occurs in exponentially decaying way.

Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE•Jul 28, 2009•0 citations

New nonlinear effects in emission (absorption) of individual resonance photons by two-level atoms trapped in damped microcavity

Vladislav Cheltsov

We show for a single mode regime with weakly decaying oscillations at the Rabi frequency between the initial (with photon in the cavity) and final (without photon) that there are atomic symmetric superpositions. The results shown here demonstrate the possibility to control the light signals by trapping the emitting (absorbing) atoms in the microcavity with varied Q-quality, and as such may find applications in optical logic microcells.

IEEE Lasers and Electro-Optics Society Annual Meeting (LEOS)•Nov 8, 2002•0 citations
In this paper, the nonperturbative version of theory displays new nonlinear properties of the cavity-controlled cooperative spontaneous emission from the compound system. One of the important features of the theory is that it accounts automatically re-absorptions of photons in the cavity. Another important result is the description of "dark" and "luminous" states of two atoms in the cavity: couples of atoms bound with other by virtual photon of the cavity mode.
The new cooperative nonlinear effects in emission and absorption of resonance photon by two level atoms trapped in damped single-mode one-dimensional microcavity have been revealed and investigated nonpertubatibely. Two cases have been considered: the case of an excited ultracold atom localized initially in the ground vibrational state of the trap's parabolic well and the case of one and two two level motionless atoms in diferent initial states. The dynamics and spectrum of emission (absorption) have been shown to be determined in particular by o --the rate of decaying of mode in the empty cavity. The gigantic optical "Moessbauer" effect has been discovered under resonance condition <>ωv=2g<>\omega _v=2g<>ωv​=2g<>. Out of this condition there arise numerous resonances of the higher order on different frequencies so that one thermal impulse has been observed instead of the "Moessbauer peak". In the case of two motonless atoms non-emitting ("dark") antisymmetric and emitting ("luminous") symmetric atomic superpositional states have been revealed.
The new cooperative nonlinear effects in emission and absorption of resonance photon by two level atoms trapped in damped single-mode one-dimensional microcavity have been revealed and investigated nonpertubatibely. Two cases have been considered: the case of an excited ultracold atom localized initially in the ground vibrational state of the trap's parabolic well and the case of one and two two level motionless atoms in diferent initial states. The dynamics and spectrum of emission (absorption) have been shown to be determined in particular by o --the rate of decaying of mode in the empty cavity. The gigantic optical ''Moessbauer'' effect has been discovered under resonance condition \omega _v=2g . Out of this condition there arise numerous resonances of the higher order on different frequencies so that one thermal impulse has been observed instead of the ''Moessbauer peak''. In the case of two motonless atoms non-emitting (''dark'') antisymmetric and emitting (''luminous'') symmetric atomic superpositional states have been revealed.
The nonperturbative theory of the cooperative spontaneous emission from a two level atom trapped in one-dimentional damped nanocavity with a single resonance mode is presented. The time-dependent spectral properties and nonlinear dynamics of a separate photon emission by the micro-molecular-like system "excited atom coupled to a resonance decaying mode" have been analyzed. The investigation has been carried out by solving the Schrödinger equation in the interaction picture with the help of the Green functions method in the Heitler-Ma's form. The formalism was supplemented with the novel algorithm in operating causal singular functions and with fundamentals of the theory of quasi-stationary systems. The proposed theory accounts automatically of both reabsorptions of emitted photon and its simultaneous escaping out of the cavity. Solutions of the wave equation were found without using intermediate virtual states and series expansions. In accordance with the theory of quasi-stationary systems the field of mode decaying exponentially in the empty nanocavity was represented with the Lorenz-shaped packet of stationary photonic states (quasi-modes). The electro-dipolar interaction between the atom and the mode field was adopted to be switched on suddenly. The expressions and plots of emission probabilities spectral densities together with photon emission probability dynamics as functions of time for various ratios Γ/4g of photon escaping rate Γ and coupling constant g are presented. For Γ/4g <1 the transient emission spectrum reveals the presence of two symmetrical side-bands and of the central peak, the latter decaying in time at the rate ∝ Γ/2 so that the final spectrum is a doublet. In this case the photon emission probability is described by decaying oscillations. On the contrary for Γ/4g ≥ 1 the spectrum is a singlet and the emission occurs in exponentially decaying ways.
The nonperturbative theory of the cooperative spontaneous emission from a two level atom trapped in one-dimensional damped nanocavity with a single resonance mode is presented. The time-dependent spectral properties and nonlinear dynamics of a separate photon emission by the macroolecular-like system "excited atom coupled to a resonance decaying mode" have been analyzed. The investigation has been carried out by solving the Schrödinger equation in the interaction picture with the help of the Green functions method in the Heitler-Ma's form . The formalism was supplemented with the novel algorithm in operating causal singular functions and with fundamentals of the theory of quantum quasi-stationary systems. The proposed theory accounts automatically of both reabsorptions of emitted photon and its simultaneous escaping out of the cavity. Solutions of the wave equation were found without using intermediate virtual states and series expansions. In accordance with the theory of quasistationary systems the field of mode decaying exponentially in the empty nanocavity was represented with the Lorenz-shaped packet of stationary photonic states (quasi-modes). The electro-dipolar interaction between the atom and the mode field was adopted to be switched on suddenly. The expressions and plots of emission spectral densities probabilities together with photon emission probability dynamics as functions of time for various ratios Γ/4g. For Γ/4g<1 the transient emission spectrum reveals the presence of two symmetrical side-bands and the central peak interconnected with each other in the area of interaction with the atom. Since the central component oscillates, decaying simultaneously in time at two rates infinity Γ/2 and ~ Γ/4, in the area of interaction the emission is a triplet with satellites oscillating in the interaction area and being stable outside of it. So the final spectrum is a doublet outside of nanocavity. On the contrary for Γ/4g ≥1 the spectrum is a singlet, and the emission occurs in exponentially decaying way.