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 Journal of Quantum Chemistry

Monte Carlo Wave Function (MCWF) approach to dissipative quantum systems interacting with a single‐mode quantized field

Masayoshi Nakano, Kizashi Yamaguchi

Published Jan 1, 2003• 4 citations
Publisher

Abstract

Abstract We investigate the quantum dynamics of a dissipative molecular system interacting with a single‐mode coherent field (with an initial average photon number 8) using the Monte Carlo wave function (MCWF) method. As quantum dissipation, we consider cavity relaxation (the dissipation of an internal single mode to outer mode) and molecular population relaxation and molecular coherent (phase) relaxation caused by nuclear vibration. In this study, we elucidate the effects of these dissipations on the unique quantum dynamic behaviors of this coupled system, e.g., collapse–revival behavior of Rabi oscillations, using the diagonal and off‐diagonal molecular density matrices. It is found that although slight cavity relaxation suppresses the revival of molecular population similarly to other relaxation effects with larger decay rates the cavity relaxation hardly suppresses the increase in the off‐diagonal molecular density matrix (representing the degree of coherency between the ground and excited states) in the quiescent region, the feature of which is related to the generation of the Schrödinger cat state, in contrast to molecular phase and population relaxations. © 2003 Wiley Periodicals, Inc. Int J Quantum Chem, 2003

DOI
10.1002/qua.10752

Related papers

Monte Carlo wave-function approach to the quantum-phase dynamics of a dissipative molecular system interacting with a single-mode amplitude-squeezed field

Masayoshi Nakano, Ryohei Kishi, Tomoshige Nitta +1 more

We investigate the quantum-phase dynamics of a dissipative molecular system interacting with a single-mode amplitude-squeezed field (with a sub-Poissonian photon-number distribution) using the Monte Carlo wave-function method. As quantum dissipation, we consider molecular coherent (phase) and population relaxations, which are caused by nuclear vibration, and cavity relaxation (the dissipation of an internal single mode to outer mode). In this study, we elucidate the effects of these dissipations on the unique quantum dynamical behaviors of this coupled system, e.g., collapse-revival behavior of Rabi oscillations, using the quasiprobability (Q function) distribution of a single-mode field and the off-diagonal molecular density matrix. It is found that although the amplitude-squeezed field exhibits a distinct revival with larger amplitudes of molecular population in the presence of the molecular phase and population relaxations as compared to the coherent field, a very slight cavity relaxation suppresses the revival of molecular population and the increase in the magnitude of off-diagonal molecular density matrices during the quiescent region in the amplitude-squeezed field case more significantly than in the coherent field case. These features are shown to be closely related to the difference in the dynamics of Q function distributions between amplitude-squeezed and coherent fields.

The Journal of Chemical Physics•Dec 4, 2003•7 citations

Second-order Monte Carlo wave-function approach to the relaxation effects on ringing revivals in a molecular system interacting with a strongly squeezed coherent field

Masayoshi Nakano, Ryohei Kishi, Tomoshige Nitta +1 more

We investigate the relaxation effects on the quantum dynamics in a two-state molecular system interacting with a single-mode strongly amplitude-squeezed coherent field using the second-order Monte Carlo wave-function method. The molecular population inversion (collapse-revival behavior of Rabi oscillations) is known to show the echoes after each revival, which are referred to as ringing revivals, in the case of strongly squeezed coherent fields with oscillatory photon-number distributions due to the phase-space interference effect. Two types of relaxation effects, i.e., cavity relaxation (the dissipation of an internal single mode to outer mode) and molecular coherent (phase) relaxation caused by nuclear vibrations on ringing revivals are investigated from the viewpoint of the quantum-phase dynamics using the quasiprobability ($Q$ function) distribution of a single-mode field and the off-diagonal molecular density matrix $\ensuremath{\mid}{\ensuremath{\rho}}_{\mathrm{elec}\phantom{\rule{0.3em}{0ex}}1,2}(t)\ensuremath{\mid}$. It turns out that the molecular phase relaxation attenuates both the entire revival-collapse behavior and the increase in $\ensuremath{\mid}{\ensuremath{\rho}}_{\mathrm{elec}\phantom{\rule{0.3em}{0ex}}1,2}(t)\ensuremath{\mid}$ during the quiescent region, whereas a very slight cavity relaxation particularly suppresses the echoes in ringing revivals more significantly than the first revival but hardly changes a primary variation in envelope of $\ensuremath{\mid}{\ensuremath{\rho}}_{\mathrm{elec}\phantom{\rule{0.3em}{0ex}}1,2}(t)\ensuremath{\mid}$ in the nonrelaxation case.

Physical Review A•Sep 22, 2004•9 citations

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

Quantum‐phase and information‐entropy dynamics of dimers interacting with a single‐mode coherent field: The difference between one‐ and two‐exciton models

Masayoshi Nakano, Kizashi Yamaguchi

Abstract We develop a numerically exact approach to the quantum‐phase and information‐entropy dynamics of a molecular aggregate interacting with quantized fields. It is well known that a peculiar quantum nature, i.e., collapses and revivals, is observed in monomer and noninteracting aggregate models. In this article, we investigate the intermolecular interaction effects on the collapse‐revival behavior using several dimer models (composed of two‐state monomers with different intermolecular distances) interacting with a single‐mode coherent photon field. The intermolecular interaction is taken into account by using the dipole‐dipole interaction. Also, one‐ and two‐exciton dimer models are considered in order to elucidate the exciton contributions to collapse‐revival behavior. This quantum behavior is analyzed from the viewpoint of the dynamics of Pegg–Barnett photon‐phase and information‐entropy of dimers, which closely relate to the time evolution of quantum coherency between the ground and the excited dimer states and the degree of the entanglement between dimer and photon, respectively. It is found that the intermolecular interaction and the two‐exciton generation provide remarkable changes in the collapse‐revival behavior through their significant influence on the quantum‐phase dynamics and the photon‐dimer entanglement. From the dimer entropy dynamics, intermediate intermolecular interaction is found to cause the momentary decrease in the photon‐dimer correlation in the early time region. This feature leads to the enhancement of off‐diagonal density (quantum coherency) between two dimers. © 2001 John Wiley & Sons, Inc. Int J Quantum Chem, 2001

International Journal of Quantum Chemistry•Jan 1, 2001•2 citations

Quantum-phase and information-entropy dynamics of a molecular system interacting with a two-mode squeezed coherent field

Masayoshi Nakano, Kizashi Yamaguchi

We investigate the quantum dynamics for a molecular-state-model system interacting with a resonant two-mode squeezed coherent field, in which each mode is initially correlated. As an example, we consider a three-state molecular model, which mimics the electronic excited states of trans-octatetraene obtained by a full-configuration-interaction calculation using the Pariser-Parr-Pople Hamiltonian, interacting with a two-mode squeezed coherent field. For comparison, we also perform parallel studies, in which the initial fields are prepared in uncorrelated two-mode states, i.e., a two-mode coherent state and a two-mode thermal state. It is well known that the case of two-mode coherent field leads to the usual collapse-revival phenomena of the Rabi oscillations, while the case of a two-mode thermal state leads to an irregular evolution of them. Although the two-mode squeezed coherent field exhibits similar collapse-revival behavior to that for the two-mode coherent field, some differences are detected in the amplitudes and periods of collapse-revival oscillations. Further, the dynamics of off-diagonal molecular density matrices between the ground and second excited states for these two fields are found to be distinctively different from each other. Such attractive behavior is found to be closely associated with the two-mode photon-phase dynamics obtained by the Pegg-Barnett phase operator and the initial quasiprobability (Q function) distribution of photons. These differences in phase properties are also shown to significantly affect the dynamics of the information entropy for a molecule, i.e., molecular entropy, which represents the degree of entanglement between the molecule and photons.

Physical Review A•Aug 14, 2001•16 citations

Quantum-phase dynamics of dimer systems interacting with a two-mode squeezed coherent field

Masayoshi Nakano, Kizashi Yamaguchi

It is well-known that the interaction among atoms/molecules and quantized electromagnetic fields with a small number of photons provides a peculiar quantum nature, i.e., collapses and revivals in the Rabi oscillations. In this study, we investigate the intermolecular interaction (dipole–dipole interaction) effect on the collapse-revival behavior using several dimer models (composed of two kinds of two-state monomers with slightly different excitation energies) with different intermolecular distances in the presence of a two-mode squeezed coherent field, in which each mode is initially correlated. It is found that although the collapse-revival behavior is fairly overlapped and indistinct in the case of a noninteracting dimer under the present two-mode squeezed coherent field, the decrease in the intermolecular distance (the increase in the intermolecular interaction) resurrects relatively distinct collapse-revival behavior with longer collapse and revival times. By analyzing the quantum behavior from the viewpoint of the dynamics of two-mode Pegg–Barnett photon-phase distributions and off-diagonal dimer density matrices, this feature is found to closely relate to a significant change in the degree of contribution between one- and two-photon processes caused by the variation in the intermolecular interaction.

The Journal of Chemical Physics•May 30, 2002•12 citations
Abstract We investigate the quantum dynamics of a dissipative molecular system interacting with a single‐mode coherent field (with an initial average photon number 8) using the Monte Carlo wave function (MCWF) method. As quantum dissipation, we consider cavity relaxation (the dissipation of an internal single mode to outer mode) and molecular population relaxation and molecular coherent (phase) relaxation caused by nuclear vibration. In this study, we elucidate the effects of these dissipations on the unique quantum dynamic behaviors of this coupled system, e.g., collapse–revival behavior of Rabi oscillations, using the diagonal and off‐diagonal molecular density matrices. It is found that although slight cavity relaxation suppresses the revival of molecular population similarly to other relaxation effects with larger decay rates the cavity relaxation hardly suppresses the increase in the off‐diagonal molecular density matrix (representing the degree of coherency between the ground and excited states) in the quiescent region, the feature of which is related to the generation of the Schrödinger cat state, in contrast to molecular phase and population relaxations. © 2003 Wiley Periodicals, Inc. Int J Quantum Chem, 2003
We investigate the quantum-phase dynamics of a dissipative molecular system interacting with a single-mode amplitude-squeezed field (with a sub-Poissonian photon-number distribution) using the Monte Carlo wave-function method. As quantum dissipation, we consider molecular coherent (phase) and population relaxations, which are caused by nuclear vibration, and cavity relaxation (the dissipation of an internal single mode to outer mode). In this study, we elucidate the effects of these dissipations on the unique quantum dynamical behaviors of this coupled system, e.g., collapse-revival behavior of Rabi oscillations, using the quasiprobability (Q function) distribution of a single-mode field and the off-diagonal molecular density matrix. It is found that although the amplitude-squeezed field exhibits a distinct revival with larger amplitudes of molecular population in the presence of the molecular phase and population relaxations as compared to the coherent field, a very slight cavity relaxation suppresses the revival of molecular population and the increase in the magnitude of off-diagonal molecular density matrices during the quiescent region in the amplitude-squeezed field case more significantly than in the coherent field case. These features are shown to be closely related to the difference in the dynamics of Q function distributions between amplitude-squeezed and coherent fields.
We investigate the relaxation effects on the quantum dynamics in a two-state molecular system interacting with a single-mode strongly amplitude-squeezed coherent field using the second-order Monte Carlo wave-function method. The molecular population inversion (collapse-revival behavior of Rabi oscillations) is known to show the echoes after each revival, which are referred to as ringing revivals, in the case of strongly squeezed coherent fields with oscillatory photon-number distributions due to the phase-space interference effect. Two types of relaxation effects, i.e., cavity relaxation (the dissipation of an internal single mode to outer mode) and molecular coherent (phase) relaxation caused by nuclear vibrations on ringing revivals are investigated from the viewpoint of the quantum-phase dynamics using the quasiprobability (QQQ function) distribution of a single-mode field and the off-diagonal molecular density matrix $\ensuremath{\mid}{\ensuremath{\rho}}_{\mathrm{elec}\phantom{\rule{0.3em}{0ex}}1,2}(t)\ensuremath{\mid}$. It turns out that the molecular phase relaxation attenuates both the entire revival-collapse behavior and the increase in $\ensuremath{\mid}{\ensuremath{\rho}}_{\mathrm{elec}\phantom{\rule{0.3em}{0ex}}1,2}(t)\ensuremath{\mid}$ during the quiescent region, whereas a very slight cavity relaxation particularly suppresses the echoes in ringing revivals more significantly than the first revival but hardly changes a primary variation in envelope of $\ensuremath{\mid}{\ensuremath{\rho}}_{\mathrm{elec}\phantom{\rule{0.3em}{0ex}}1,2}(t)\ensuremath{\mid}$ in the nonrelaxation case.
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
Abstract We develop a numerically exact approach to the quantum‐phase and information‐entropy dynamics of a molecular aggregate interacting with quantized fields. It is well known that a peculiar quantum nature, i.e., collapses and revivals, is observed in monomer and noninteracting aggregate models. In this article, we investigate the intermolecular interaction effects on the collapse‐revival behavior using several dimer models (composed of two‐state monomers with different intermolecular distances) interacting with a single‐mode coherent photon field. The intermolecular interaction is taken into account by using the dipole‐dipole interaction. Also, one‐ and two‐exciton dimer models are considered in order to elucidate the exciton contributions to collapse‐revival behavior. This quantum behavior is analyzed from the viewpoint of the dynamics of Pegg–Barnett photon‐phase and information‐entropy of dimers, which closely relate to the time evolution of quantum coherency between the ground and the excited dimer states and the degree of the entanglement between dimer and photon, respectively. It is found that the intermolecular interaction and the two‐exciton generation provide remarkable changes in the collapse‐revival behavior through their significant influence on the quantum‐phase dynamics and the photon‐dimer entanglement. From the dimer entropy dynamics, intermediate intermolecular interaction is found to cause the momentary decrease in the photon‐dimer correlation in the early time region. This feature leads to the enhancement of off‐diagonal density (quantum coherency) between two dimers. © 2001 John Wiley & Sons, Inc. Int J Quantum Chem, 2001
We investigate the quantum dynamics for a molecular-state-model system interacting with a resonant two-mode squeezed coherent field, in which each mode is initially correlated. As an example, we consider a three-state molecular model, which mimics the electronic excited states of trans-octatetraene obtained by a full-configuration-interaction calculation using the Pariser-Parr-Pople Hamiltonian, interacting with a two-mode squeezed coherent field. For comparison, we also perform parallel studies, in which the initial fields are prepared in uncorrelated two-mode states, i.e., a two-mode coherent state and a two-mode thermal state. It is well known that the case of two-mode coherent field leads to the usual collapse-revival phenomena of the Rabi oscillations, while the case of a two-mode thermal state leads to an irregular evolution of them. Although the two-mode squeezed coherent field exhibits similar collapse-revival behavior to that for the two-mode coherent field, some differences are detected in the amplitudes and periods of collapse-revival oscillations. Further, the dynamics of off-diagonal molecular density matrices between the ground and second excited states for these two fields are found to be distinctively different from each other. Such attractive behavior is found to be closely associated with the two-mode photon-phase dynamics obtained by the Pegg-Barnett phase operator and the initial quasiprobability (Q function) distribution of photons. These differences in phase properties are also shown to significantly affect the dynamics of the information entropy for a molecule, i.e., molecular entropy, which represents the degree of entanglement between the molecule and photons.
It is well-known that the interaction among atoms/molecules and quantized electromagnetic fields with a small number of photons provides a peculiar quantum nature, i.e., collapses and revivals in the Rabi oscillations. In this study, we investigate the intermolecular interaction (dipole–dipole interaction) effect on the collapse-revival behavior using several dimer models (composed of two kinds of two-state monomers with slightly different excitation energies) with different intermolecular distances in the presence of a two-mode squeezed coherent field, in which each mode is initially correlated. It is found that although the collapse-revival behavior is fairly overlapped and indistinct in the case of a noninteracting dimer under the present two-mode squeezed coherent field, the decrease in the intermolecular distance (the increase in the intermolecular interaction) resurrects relatively distinct collapse-revival behavior with longer collapse and revival times. By analyzing the quantum behavior from the viewpoint of the dynamics of two-mode Pegg–Barnett photon-phase distributions and off-diagonal dimer density matrices, this feature is found to closely relate to a significant change in the degree of contribution between one- and two-photon processes caused by the variation in the intermolecular interaction.