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

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

Modeling of quantum beats of the state populations of a molecule

V. A. Morozov

Analytical expressions for describing the dynamics of the populations of the states of a five-level model molecule during fluorescence reflecting the quantum beats of the populations of its two excited degenerate states coupled by dynamic interaction are derived. The cases of excitation of the molecule by a short light pulse in a state with an energy higher than the energy of the degenerate states and into one of the degenerate states are considered. The populations of states are determined by solving the Schrödinger equation for the amplitudes of probability of populating the states of the composite system comprised of the molecule and a quantized radiation field. It was found that the resulting expressions satisfy the optical Bloch equations for the considered dynamics of the populations of the molecule’s states. Significant distinctions of the present results on the simulation of quantum beats from the corresponding simulation results reported in some works, performed based on different approaches, are revealed. The reasons for these differences are discussed.Analytical expressions for describing the dynamics of the populations of the states of a five-level model molecule during fluorescence reflecting the quantum beats of the populations of its two excited degenerate states coupled by dynamic interaction are derived. The cases of excitation of the molecule by a short light pulse in a state with an energy higher than the energy of the degenerate states and into one of the degenerate states are considered. The populations of states are determined by solving the Schrödinger equation for the amplitudes of probability of populating the states of the composite system comprised of the molecule and a quantized radiation field. It was found that the resulting expressions satisfy the optical Bloch equations for the considered dynamics of the populations of the molecule’s states. Significant distinctions of the present results on the simulation of quantum beats from the corresponding simulation results reported in some works, performed based on different approaches, are revealed. The reasons for these differences are discussed.

Russian Journal of Physical Chemistry BMay 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

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.