Nonlocal Properties of Dynamical Three-Body Casimir-Polder Forces

Rizzuto, Lucia; Passante, Roberto; Persico, F.

doi:10.1103/physrevlett.98.240404

Cited by 22 publications

(23 citation statements)

References 24 publications

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“…The imposition of boundary conditions on the quantum field on the plate changes vacuum field fluctuations and the density of states of the quantized radiation field, and, thus, it can significantly influence radiative properties of atoms placed nearby [40][41][42][43][44][45]. Our aim is to investigate in detail physical manifestations of atomic acceleration in the radiation-mediated resonance interaction between the two atoms located in the proximity of a reflecting plate.Resonance and dispersion Casimir-Polder interactions are long-range interactions involving neutral objects such as atoms or molecules [46,47], due to the zero-point fluctuations of the quantum electromagnetic field or to the source field [47][48][49]. When one or more atoms are in their excited state, a resonance interaction between the atoms can occur, as a result of the exchange of real photons between them.…”

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confidence: 99%

Resonance Dipole-Dipole Interaction Between Two Accelerated Atoms in the Presence of a Reflecting Plane Boundary

Zhou

Passante²,

Rizzuto³

2018

Preprint

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We study the resonant dipole-dipole interaction energy between two non-inertial identical atoms, one excited and the other in the ground state, prepared in a correlated Bell-type state, and interacting with the scalar field or the electromagnetic field nearby a perfectly reflecting plate. We suppose the two atoms move with the same uniform acceleration, parallel to the plane boundary, and that their separation is constant during the motion. By separating the contributions of radiation reaction field and vacuum fluctuations to the resonance energy shift of the two-atom system, we show that Unruh thermal fluctuations do not affect the resonance interaction, which is exclusively related to the radiation reaction field. However, non-thermal effects of acceleration in the radiation-reaction contribution, beyond the Unruh acceleration-temperature equivalence, affect the resonance interaction energy. By considering specific geometric configurations of the two-atom system relative to the plate, we show that the presence of the mirror significantly modifies the resonance interaction energy between the two accelerated atoms. In particular, we find that new and different features appear with respect to the case of atoms in the free-space, related to the presence of the boundary and to the peculiar structure of the quantum electromagnetic field vacuum in the locally inertial frame. Our results suggest the possibility to exploit the resonance interaction between accelerated atoms as a probe for detecting the elusive effects of atomic acceleration on radiative processes. * zhouwenting@nbu.edu.cn † roberto.passante@unipa.it ‡ lucia.rizzuto@unipa.it been argued that the Unruh effect is a fundamental requirement to ensure the consistency of quantum field theory [19]. In any case, a direct verification of the effect, and in general of acceleration-dependent effects, could allow us to solve some fundamental controversies about its physical interpretation.Recently, the effects of an accelerated motion on the radiative properties of atoms/molecules in vacuum have been discussed in the literature [20][21][22][23][24][25][26]. Changes in the spontaneous emission rate [20,[27][28][29] or in the Lamb shift of single uniformly accelerating atoms [21,22], as well as the dispersion Casimir-Polder interaction between a uniformly accelerated atom and a reflecting plate [30][31][32][33][34] or between two uniformly accelerated atoms [35,36], have been investigated, and their relation with the Unruh effect was discussed. The effect of non-equilibrium boundaries on radiative properties of atoms has been also considered [37,38].Another, albeit related, problem, recently addressed in the literature, concerns the equivalence between acceleration and temperature. For example, it has been discussed that non-thermal features (related to a uniform acceleration) manifest in the dispersion (van der Waals/Casimir-Polder) and resonance interaction between non inertial atoms in the free-space [25,26,36,39]. These investigations reveal that the effects of a ...

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confidence: 99%

Resonance Dipole-Dipole Interaction Between Two Accelerated Atoms in the Presence of a Reflecting Plane Boundary

Zhou

Passante²,

Rizzuto³

2018

Preprint

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“…However, if the two identical atoms are prepared in a correlated (symmetric or antisymmetric) state, with one atom in its ground state and the other in an excited state, the excitation is delocalized among the two atoms and the resonance interaction is a second-order effect in the atom-field coupling constant [46,47]. This stems from the fact that, in the symmetric or antisymmetric state, the two atomic dipoles are correlated, while for factorized states (as in the case of dispersion interaction, for example) they must be correlated by vacuum fluctuations [48,49]. For this reason this interaction can be much stronger than the resonance interaction between atoms in factorized states, even if it requires preparing the system in a correlated state.…”

Section: Introductionmentioning

confidence: 99%

Resonance interaction energy between two accelerated identical atoms in a coaccelerated frame and the Unruh effect

2016

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We investigate the resonance interaction energy between two uniformly accelerated identical atoms, interacting with the scalar field or the electromagnetic field in the vacuum state, in the reference frame coaccelerating with the atoms. We assume that one atom is excited and the other in the ground state, and that they are prepared in their correlated symmetric or antisymmetric state. Using perturbation theory, we separate, at the second order in the atom-field coupling, the contributions of vacuum fluctuations and radiation reaction field to the energy shift of the interacting system. We show that only the radiation reaction term contributes to the resonance interaction between the two atoms, while Unruh thermal fluctuations, related to the vacuum fluctuations contribution, do not affect the resonance interatomic interaction. We also show that the resonance interaction between two uniformly accelerated atoms, recently investigated in the comoving (locally inertial) frame, can be recovered in the coaccelerated frame, without the additional assumption of the Fulling-Davies-Unruh temperature for the quantum fields (as necessary for the Lamb shift, for example). This indicates, in the case considered, the equivalence between the coaccelerated frame and the locally inertial frame.

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“…Since the pioneering work of Purcell, it is known that radiative processes of any quantum emitter(s), for example the spontaneous emission of one or more atoms, are affected by the environment [9]. Radiation-mediated interactions, such as van der Waals and Casimir-Polder interactions, can be also significantly affected by the environment, that changes the photon density of states and the dispersion relation [10][11][12][13], as well as from the presence of neighbouring atoms [14], or due to a uniformly accelerated motion of the atoms [15,16]. Recently, investigations on how to control and tailor radiative processes through the environment have become a very active field of research, even in the case of time-modulated environments [17][18][19].…”

Section: Introductionmentioning

confidence: 99%

Resonance energy transfer between two atoms in a conducting cylindrical waveguide

2018

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We consider the energy transfer process between two identical atoms placed inside a perfectly conducting cylindrical waveguide. We first introduce a general analytical expression of the energy transfer amplitude in terms of the electromagnetic Green's tensor; we then evaluate it in the case of a cylindrical waveguide made of a perfect conductor, for which analytical expressions of the Green's tensor exist. We numerically analyse the energy transfer amplitude when the radius of the waveguide is such that the transition frequency of both atoms is below the lower cutoff frequency of the waveguide, so that the resonant photon exchange is strongly suppressed. We consider both cases of atomic dipoles parallel and orthogonal to the axis of the guide. In both cases, we find that the energy transfer is modified by the presence of the waveguide. In the near zone, that is when the atomic separation is smaller than the atomic transition wavelength, the change, with respect to the free-space case, is small for axial dipoles, while it is larger for radial dipoles; it grows when the intermediate region between near and far zone is approached. In the far zone, we find that the energy transfer amplitude is strongly suppressed by the waveguide, becoming virtually zero. A physical interpretation of these results is discussed. Finally, we discuss the resonance interaction energy and force between two identical correlated atoms in the waveguide, one excited and the other in the ground state, prepared in their symmetric or antisymmetric superposition.

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Nonlocal Properties of Dynamical Three-Body Casimir-Polder Forces

Cited by 22 publications

References 24 publications

Resonance Dipole-Dipole Interaction Between Two Accelerated Atoms in the Presence of a Reflecting Plane Boundary

Resonance Dipole-Dipole Interaction Between Two Accelerated Atoms in the Presence of a Reflecting Plane Boundary

Resonance interaction energy between two accelerated identical atoms in a coaccelerated frame and the Unruh effect

Resonance energy transfer between two atoms in a conducting cylindrical waveguide

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