Tuning the collective decay of two entangled emitters by means of a nearby surface

Palacino, Roberta; Passante, Roberto; Rizzuto, Lucia; Barcellona, Pablo; Buhmann, Stefan Yoshi

doi:10.1088/1361-6455/aa75f4

Cited by 20 publications

(15 citation statements)

References 36 publications

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“…Our conclusions are also fully consistent with recent investigations concerning the collective spontaneous decay of two entangled atoms near a perfectly conducting plate [67], where the presence of the boundary can enhance or inhibit the superradiant or subradiant decay of the two-atom system, according to the specific orientation of the two dipole moments and to the atom-plate distances (with respect to the atomic transition wavelength).…”

Section: Resonance Interaction Between Two Atoms At Rest Near a supporting

confidence: 92%

Vacuum fluctuations and radiation reaction contributions to the resonance dipole-dipole interaction between two atoms near a reflecting boundary

2018

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We investigate the resonance dipole-dipole interaction energy between two identical atoms, one in the ground state and the other in the excited state, interacting with the electromagnetic field in the presence of a perfectly reflecting plane boundary. The atoms are prepared in a correlated (symmetric or anti-symmetric) Bell-type state. Following a procedure due to Dalibard et. al. [J. Dalibard et. al., J. Phys. (Paris) 43, 1617; 45, 637 (1984)], we separate the contributions of vacuum fluctuations and radiation reaction (source) field to the resonance interaction energy between the two atoms, and show that only the source field contributes to the interatomic interaction, while vacuum field fluctuations do not. By considering specific geometric configurations of the two-atom-system with respect to the mirror and specific choices of dipole orientations, we show that the presence of the mirror significantly affects the resonance interaction energy and that different features appear with respect to the case of atoms in free space, for example a change in the spatial dependence of the interaction. Our findings also suggest that the presence of a boundary can be exploited to tailor and control the resonance interaction between two atoms, as well as the related energy transfer process. The possibility of observing these phenomena is also discussed.

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Section: Resonance Interaction Between Two Atoms At Rest Near a supporting

confidence: 92%

Vacuum fluctuations and radiation reaction contributions to the resonance dipole-dipole interaction between two atoms near a reflecting boundary

2018

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“…and the functions f ⊥(0) ij (a, L, ω) and h ⊥(0) ij (a, L, ω) are given by Equations (A3) and (A4) of Appendix A. The complete resonance interaction energy of the accelerated two-atom system is then obtained by summing Equations (45) and (47):…”

Section: A Atoms Aligned Perpendicularly To the Platementioning

confidence: 99%

“…These investigations reveal that the effects of a uniform acceleration are not always equivalent to Unruh thermal effects.Motivated by these issues, in this paper, we investigate the effect of a non-inertial motion on the resonance interaction between two atoms, that accelerate with the same constant acceleration, parallel to a reflecting plate. 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].…”

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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

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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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“…This method has been widely used in many contexts, from quantum electrodynamics to quantum optics, and its merit is that all relevant properties and effects of the environment are included in the Green's tensor expression. It has been used, for example, to evaluate van der Waals and Casimir-Polder forces in external environments [13,[39][40][41][42], or to investigate the collective spontaneous decay of two quantum emitters placed nearby a reflecting mirror [43]. We will use this approach to obtain the energy transfer amplitude when two emitters are inside an environment such as a conducting cylindrical waveguide.…”

Section: Energy Transfer In Terms Of the Electromagnetic Green's mentioning

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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Tuning the collective decay of two entangled emitters by means of a nearby surface

Cited by 20 publications

References 36 publications

Vacuum fluctuations and radiation reaction contributions to the resonance dipole-dipole interaction between two atoms near a reflecting boundary

Vacuum fluctuations and radiation reaction contributions to the resonance dipole-dipole interaction between two atoms near a reflecting boundary

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

Resonance energy transfer between two atoms in a conducting cylindrical waveguide

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