Regular and chaotic dynamics in systems with excitonic-vibronic coupling

Esser, B.; Schanz, Holger

doi:10.1016/0960-0779(94)90121-x

Cited by 11 publications

(15 citation statements)

References 4 publications

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“…The stability properties of a fixed point are determined by a linearization of the equations of motion using canonical variables [11].…”

Section: Fixed Points and Bifurcationmentioning

confidence: 99%

“…We have recently investigated the dynamical properties of this model in the mixed description by integrating the corresponding Bloch-oscillator equations and demonstrated the presence of a phase space with an underlying separatrix structure for overcritical coupling and chaos developing from the region of the hyperbolic point at the center of this structure. For increasing total energy chaos spreads over the product phase space of the system constituted by the Bloch sphere and oscillator plane, leaving only regular islands in the region of the antibonding states [11]. Here we consider the problem of the relation between the dynamics in the mixed and fully quantum levels of description of the coupled quasiparticle-oscillator motion.…”

Section: Introductionmentioning

confidence: 99%

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Mixed quantum-classical versus full quantum dynamics: Coupled quasiparticle-oscillator system

Schanz

Esser

1997

Phys. Rev. A

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The relation between the dynamical properties of a coupled quasiparticle-oscillator system in the mixed quantum-classical and fully quantized descriptions is investigated. The system is considered as a model for applying a stepwise quantization. Features of the nonlinear dynamics in the mixed description such as the presence of a separatrix structure or regular and chaotic motion are shown to be reflected in the evolution of the quantum state vector of the fully quantized system. In particular, it is demonstrated how wave packets propagate along the separatrix structure of the mixed description, and that chaotic dynamics leads to a strongly entangled quantum state vector. Special emphasis is given to viewing the system from a dynamical Born-Oppenheimer approximation defining integrable reference oscillators, and elucidating the role of the nonadiabatic couplings which complement this approximation into a rigorous quantization scheme.

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“…The stability properties of a fixed point are determined by a linearization of the equations of motion using canonical variables [11].…”

Section: Fixed Points and Bifurcationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Mixed quantum-classical versus full quantum dynamics: Coupled quasiparticle-oscillator system

Schanz

Esser

1997

Phys. Rev. A

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“…Namely, our equations, which describe the dimer dynamics, are obtained from the RDF model, which is more general than DavydovÏs model. The main differences can be easily seen if one compares, for example, the RDF hamiltonian and the hamiltonian used in the papers [30,31]. The equations analysed in these papers are obtained from the system hamiltonian which was used in the Davydov solitonic model, which is a particular approximation of the RDF hamiltonian.…”

Section: Introductionmentioning

confidence: 99%

Supernova explosions and historical chronology

Imshennik

2000

Phys.-Usp.

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A detailed analysis of the metastable states of two interacting monomer units, supplied with energy by an external energy pumping system, assigned here as Fro hlich states, is presented, which includes the analysis of the criteria of the system stability as well. The basic starting point of this analysis is the hamiltonian of the microscopic RDF model, which o †ers a uniÐed theory of the well known Davydov and Fro hlich models of energy transport in proteins. Our results show that Fro hlichÏs metastable states could not be considered as a many body e †ect, because every pair of interacting complex monomer units, in which vibronic excitations could be excited, will prefer states with higher ordering of the dipole momenta, corresponding to lower system energy. This is a consequence of the softening of the dipole oscillation modes, caused by the monomer deformation, which is connected with the vibrations of the monomer constituents.

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“…More sophisticated approaches take the dynamics of the vibrations explicitly into account by using a mixed quantum-classical description [21,22] or by treating the coupled system quantum mechanically [23]. Another interesting point is the effect of dissipation on self trapping [24][25][26].…”

Section: Introductionmentioning

confidence: 99%

“…In this paper we will adopt the latter way and take account of the dynamics of a particular vibronic variable, too. For this purpose the coupled excitonicvibronic system will be treated in a mixed quantum-classical description [21,22], which is justified whenever the quantum fluctuations in the vibronic subsystem are negligible. The model we use will be specified and developed further in section II, where we also indicate the modifications that lead to the DST equation.…”

Section: Introductionmentioning

confidence: 99%

Transfer and decay of an exciton coupled to vibrations in a dimer

1997

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Transfer and decay dynamics of an exciton coupled to a polarization vibration in a dimer is investigated in a mixed quantum-classical picture with the exciton decay incorporated by a sink site. Using a separation of time scales, it is possible to explain analytically the most important characteristics of the model.If the vibronic subsystem is fast, these are the enhancement of nonlinear self trapping due to the sink and the slowing down of the exciton decay for large coupling or sink strength. Numerical results obtained recently for the DST approximation to the model are quantitatively explained and new dynamic effects beyond this approximation are found.If the vibronic subsystem is slow, the behavior of the system follows closely the predictions of the adiabatic approximation. In this regime, the exciton decay crucially depends on the initial conditions of the vibronic subsystem.In the transition regime between adiabatic and DST approximation, complex dynamics is observed by numerical computation. We discuss the correspondence to the chaotic behavior of the excitonic-vibronic coupled dimer without trap.

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Regular and chaotic dynamics in systems with excitonic-vibronic coupling

Cited by 11 publications

References 4 publications

Mixed quantum-classical versus full quantum dynamics: Coupled quasiparticle-oscillator system

Mixed quantum-classical versus full quantum dynamics: Coupled quasiparticle-oscillator system

Supernova explosions and historical chronology

Transfer and decay of an exciton coupled to vibrations in a dimer

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