We study the two-photon interaction between a three-level equidistant radiator (atom, molecule) with different dipole transitions and the single-mode cavity field. It is supposed that the three-level radiator is laser cooled and trapped into the ground vibrational state, in which the vibrational quantum number [Formula: see text]. In the proposed two-photon Jaynes–Cummings model (JCM) of a three-level atom at the initial moment [Formula: see text], the quantized cavity field is prepared in the squeezed vacuum state and the three-level radiator in the first excited state [Formula: see text]. By using the exact analytical solution for the state-vector of the coupled atom-field system, the amplitude-squared squeezing of the quantized cavity field is examined as a function of the [Formula: see text] and [Formula: see text] parameters. In this situation, higher-order squeezing has the tendency towards oscillations, but the exact periodicity of these oscillations is violated by the analogy with the second-order squeezing.We study the two-photon interaction between a three-level equidistant radiator (atom, molecule) with different dipole transitions and the single-mode cavity field. It is supposed that the three-level radiator is laser cooled and trapped into the ground vibrational state, in which the vibrational quantum number [Formula: see text]. In the proposed two-photon Jaynes–Cummings model (JCM) of a three-level atom at the initial moment [Formula: see text], the quantized cavity field is prepared in the squeezed vacuum state and the three-level radiator in the first excited state [Formula: see text]. By using the exact analytical solution for the state-vector of the coupled atom-field system, the amplitude-squared squeezing of the quantized cavity field is examined as a function of the [Formula: see text] and [Formula: see text] parameters. In this situation, higher-order squeezing has the tendency towards oscillations, but the exact periodicity of these oscillations is violated by the analogy with the second-order squeezing.

International Journal of Quantum InformationDec 1, 20170 citations

Coherent interaction of an ultrashort zero-area laser pulse with a Morse oscillator

Szczepan Chelkowski, André D. Bandrauk

Dissociation probabilities, energy absorption, and ground-state populations are calculated numerically for interaction of a Morse oscillator with a resonant ultrashort ( ${\mathit{t}}_{\mathit{p}}$ ${10}^{\mathrm{\ensuremath{-}}12}$ sec) intense laser pulse as a function of intensity and pulse area in order to investigate the sensitivity of coherence phenomena to delocalization and chaos in molecule-radiation field systems. It is concluded that a zero-area pulse can reduce considerably energy absorbed by a molecule as well as dissociation probabilities for intensities below and near the chaotic region. It is found that the two-level model (describing the interaction of light resonant with the ground to first excited level transition) works well up to the intensity ${10}^{12}$ W/ ${\mathrm{cm}}^{2}$ , above which transitions to higher levels must be considered.Dissociation probabilities, energy absorption, and ground-state populations are calculated numerically for interaction of a Morse oscillator with a resonant ultrashort (${\mathit{t}}_{\mathit{p}}$${10}^{\mathrm{\ensuremath{-}}12}$ sec) intense laser pulse as a function of intensity and pulse area in order to investigate the sensitivity of coherence phenomena to delocalization and chaos in molecule-radiation field systems. It is concluded that a zero-area pulse can reduce considerably energy absorbed by a molecule as well as dissociation probabilities for intensities below and near the chaotic region. It is found that the two-level model (describing the interaction of light resonant with the ground to first excited level transition) works well up to the intensity ${10}^{12}$ W/${\mathrm{cm}}^{2}$, above which transitions to higher levels must be considered.

Physical Review AJun 1, 199048 citations

Radiation from a System of Resonant Molecules with Energy-level Scatter

A. I. Alekseev, Viktor Mikhaĭlovich Galit︠s︡kiĭ

Journal of Experimental and Theoretical PhysicsApr 1, 19660 citations

Temperature dependent properties of the dynamics of a two-level system interacting with a radiation field

Sergey N. Martynov, Almas F. Sadreev

Physica A Statistical Mechanics and its ApplicationsJun 1, 19783 citations

Dissociation probabilities, energy absorption, and ground-state populations are calculated numerically for interaction of a Morse oscillator with a resonant ultrashort (

{\mathit{t}}_{\mathit{p}}

${10}^{\mathrm{\ensuremath{-}}12}$ sec) intense laser pulse as a function of intensity and pulse area in order to investigate the sensitivity of coherence phenomena to delocalization and chaos in molecule-radiation field systems. It is concluded that a zero-area pulse can reduce considerably energy absorbed by a molecule as well as dissociation probabilities for intensities below and near the chaotic region. It is found that the two-level model (describing the interaction of light resonant with the ground to first excited level transition) works well up to the intensity

{10}^{12}

{\mathrm{cm}}^{2}

, above which transitions to higher levels must be considered.