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Chemical Physics

Quantum-phase dynamics of an atomic/molecular system interacting with a two-mode squeezed vacuum field: coexistence of quantum and thermal features

Masayoshi Nakano, Kizashi Yamaguchi

Published Dec 28, 2002• 6 citations
Publisher
DOI
10.1016/s0301-0104(02)00918-7

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We investigate the intermolecular-interaction (dipole–dipole interaction) effects on the quantum dynamics of dimer density matrices and photon-phase distributions using several dimer models with different intermolecular distances in the presence of a two-mode squeezed vacuum field. In this photon field, each mode is initially correlated and the reduced one-mode photon distribution is equivalent with that of a thermal field. For comparison, we perform parallel studies, in which the initial fields are two types of noncorrelated two-mode fields, i.e., a two-mode coherent field and a two-mode thermal field. It is found that although the two-mode squeezed vacuum field causes the random oscillations of dimer populations in the noninteracting dimer, the periodic oscillations like the collapse–revival behavior emerge as the intermolecular distance decreases (the intermolecular interaction increases). Similar and dissimilar features among quantum dynamics caused by these three types of fields are investigated by analyzing the dynamical behavior of two-mode Pegg–Barnett photon-phase distributions and off-diagonal dimer density matrices, which indicate the coherency between dimer states. In addition to the quantum statistical properties of initial photon field, the change in the degree of contribution between one- and two-photon processes caused by the intermolecular interaction is found to be important to determine these features.

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Quantum‐phase dynamics of molecular systems interacting with a two‐mode squeezed vacuum field: Detuning effects

Masayoshi Nakano, Kizashi Yamaguchi

Abstract We investigated several three‐state molecular models interacting with an on/off‐resonant two‐mode squeezed vacuum field (TSV) to clarify the detuning effects on the dynamic behaviors of on/off‐diagonal molecular density matrices. For comparison, we perform a parallel study in which the initial field is an on/off‐resonant two‐mode coherent field. In the case of satisfying both a large one‐photon detuning and a two‐photon resonance conditions, the magnitude of off‐diagonal density matrix (|ρ13|) between the second excited and the ground states for (TSV) exhibits distinct increase and decrease behaviors similar to the case of a two‐mode coherent field in contrast to the case of one‐ and two‐photon resonances, in which a random oscillation of |ρ13| with a relatively high averaged value is observed. The change in the contribution of one‐ and two‐photon processes due to the detuning of external fields and the differences in the quantum statistics of the initial quantum fields are found to cause such attractive variations in dynamics of the coherency between molecular electronic states as well as their populations. © 2004 Wiley Periodicals, Inc. Int J Quantum Chem, 2004

International Journal of Quantum Chemistry•Feb 18, 2004•2 citations
We investigate the intermolecular-interaction (dipole–dipole interaction) effects on the quantum dynamics of dimer density matrices and photon-phase distributions using several dimer models with different intermolecular distances in the presence of a two-mode squeezed vacuum field. In this photon field, each mode is initially correlated and the reduced one-mode photon distribution is equivalent with that of a thermal field. For comparison, we perform parallel studies, in which the initial fields are two types of noncorrelated two-mode fields, i.e., a two-mode coherent field and a two-mode thermal field. It is found that although the two-mode squeezed vacuum field causes the random oscillations of dimer populations in the noninteracting dimer, the periodic oscillations like the collapse–revival behavior emerge as the intermolecular distance decreases (the intermolecular interaction increases). Similar and dissimilar features among quantum dynamics caused by these three types of fields are investigated by analyzing the dynamical behavior of two-mode Pegg–Barnett photon-phase distributions and off-diagonal dimer density matrices, which indicate the coherency between dimer states. In addition to the quantum statistical properties of initial photon field, the change in the degree of contribution between one- and two-photon processes caused by the intermolecular interaction is found to be important to determine these features.
Abstract We investigated several three‐state molecular models interacting with an on/off‐resonant two‐mode squeezed vacuum field (TSV) to clarify the detuning effects on the dynamic behaviors of on/off‐diagonal molecular density matrices. For comparison, we perform a parallel study in which the initial field is an on/off‐resonant two‐mode coherent field. In the case of satisfying both a large one‐photon detuning and a two‐photon resonance conditions, the magnitude of off‐diagonal density matrix (|ρ13|) between the second excited and the ground states for (TSV) exhibits distinct increase and decrease behaviors similar to the case of a two‐mode coherent field in contrast to the case of one‐ and two‐photon resonances, in which a random oscillation of |ρ13| with a relatively high averaged value is observed. The change in the contribution of one‐ and two‐photon processes due to the detuning of external fields and the differences in the quantum statistics of the initial quantum fields are found to cause such attractive variations in dynamics of the coherency between molecular electronic states as well as their populations. © 2004 Wiley Periodicals, Inc. Int J Quantum Chem, 2004