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Laser Physics

Dipole–dipole interaction between motionless point atoms located near a charged conductive plate

A. S. Kuraptsev, Igor M. Sokolov

Published Jun 13, 2018• 15 citations
Publisher

Abstract

Abstract On the basis of a quantum microscopic approach, we study the excitation dynamics of two motionless point atoms located in fixed positions near a perfectly conductive charged surface. We analyze the spontaneous decay rate of individual atoms near the plate, as well as the strength of the dipole–dipole interaction between different atoms. It is shown that the spontaneous decay rate of an excited atom depends to a significant extent on its distance from the mirror. In the case where the interatomic separation is smaller than or comparable to the wavelength of the resonant radiation, the spontaneous decay dynamics of an excited atom is cooperative, so it is described by a multi-exponential law. It is shown that an electrostatic field caused by the charged plate modifies the character of the dipole–dipole interaction.

DOI
10.1088/1555-6611/aac508

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Abstract On the basis of a quantum microscopic approach, we study the excitation dynamics of two motionless point atoms located in fixed positions near a perfectly conductive charged surface. We analyze the spontaneous decay rate of individual atoms near the plate, as well as the strength of the dipole–dipole interaction between different atoms. It is shown that the spontaneous decay rate of an excited atom depends to a significant extent on its distance from the mirror. In the case where the interatomic separation is smaller than or comparable to the wavelength of the resonant radiation, the spontaneous decay dynamics of an excited atom is cooperative, so it is described by a multi-exponential law. It is shown that an electrostatic field caused by the charged plate modifies the character of the dipole–dipole interaction.
On the basis of quantum microscopic approach we study the excitation dynamics of two motionless point atoms located near the perfectly conducting mirror. We have analyzed the spontaneous decay rate of individual atoms near the mirror as well as the strength of dipole-dipole interaction between different atoms. It is shown that the spontaneous decay rate of an excited atom significantly depends on the distance from this atom to the mirror. In the case when the interatomic separation is less or comparable with the wavelength of resonant radiation, the spontaneous decay dynamics of an excited atom is described by multi-exponential law. It depends both the interatomic separation and the spatial orientation of diatomic quasimolecule.
Specific features of dipole–dipole interaction between two motionless point atoms located near a perfectly conducting charged plate are investigated theoretically within a consistent quantum microscopic approach. These features are analyzed on the basis of the dynamics of cooperative spontaneous decay of excited states of a diatomic quasimolecule. The decay rate is investigated as a function of the interatomic distance, the orientation angle of the quasimolecule with respect to the plane of the plate, and the distance between the quasimolecule and the plate. It is shown that the conducting plate significantly modifies the character of dipole–dipole interaction even when the plate is not charged. When the plate is charged, the Stark splitting of atomic levels leads to an additional modification of the interatomic interaction. The features observed are explained on the basis of the analysis of the spectrum of collective states of diatomic molecules.
Abstract On the basis of the general quantum microscopic theory we study the process of spontaneous decay of an excited atom in a dense and disordered ensemble of point-like impurity atoms embedded into transparent dielectric and located near a charged perfectly conducting surface. We have analyzed the simultaneous influence of the modified spatial structure of field modes near the conductive surface and the electric field on the character of interatomic dipole-dipole interaction. This leads to the modification of the transition spectrum of an excited atom inside an ensemble and the spontaneous decay dynamics. We have shown that the electric field changes the cooperative Lamb shift, as well as the character of sub- and superradiant decay.
On the basis of a quantum microscopic approach we study the cooperative effects induced by the dipole-dipole interaction in an ensemble of pointlike impurity centers located near a charged perfectly conducting surface. We analyze the simultaneous influence of the modified spatial structure of field modes near the conductive surface and the electric field on the transition spectrum of an excited atom inside an ensemble and on the radiation trapping. We show that the electric field modifies the cooperative Lamb shift, as well as the character of sub- and super-radiant decay. We also demonstrate that electro-optical effects in the presence of a surface are essentially different in comparison with those in free space. The nonmonotonic behavior of electro-optical effects in the presence of a surface with increasing of the electric field has been shown.
We investigate the spontaneous emission of one atom placed near an oscillating reflecting plate. We consider the atom modeled as a two-level system, interacting with the quantum electromagnetic field in the vacuum state, in the presence of the oscillating mirror. We suppose that the plate oscillates adiabatically, so that the time-dependence of the interaction Hamiltonian is entirely enclosed in the time-dependent mode functions, satisfying the boundary conditions at the plate surface, at any given time. Using time-dependent perturbation theory, we evaluate the transition rate to the ground-state of the atom, and show that it depends on the time-dependent atom–plate distance. We also show that the presence of the oscillating mirror significantly affects the physical features of the spontaneous emission of the atom, in particular the spectrum of the emitted radiation. Specifically, we find the appearance of two symmetric lateral peaks in the spectrum, not present in the case of a static mirror, due to the modulated environment. The two lateral peaks are separated from the central peak by the modulation frequency, and we discuss the possibility to observe them with actual experimental techniques of dynamical mirrors and atomic trapping. Our results indicate that a dynamical (i.e., time-modulated) environment can give new possibilities to control and manipulate also other radiative processes of two or more atoms or molecules nearby, for example their cooperative decay or the resonant energy transfer.