Enhanced resonant force between two entangled identical atoms in a photonic crystal

Passante, Roberto; Rizzuto, Lucia; Petrosky, Tomio; Fukuta, Taku; Tanaka, Satoshi

doi:10.1103/physreva.89.062117

Cited by 25 publications

(37 citation statements)

References 43 publications

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“…These investigations have shown how a structured environment, such as a cavity or a medium with periodic refractive index, can be exploited to control and tailor the spontaneous decay, as well as energy shifts of atomic levels, resonance and dispersion interactions between atoms, or the resonant energy transfer between atoms or molecules [21][22][23][24][25][26].…”

Section: Introductionmentioning

confidence: 99%

“…Spontaneous decay of excited atoms in the presence of a driving laser field has been also investigated [15]. Many experiments showing modifications of spontaneous emission of atoms in external environments (a single mirror, optical cavities, photonic crystals and waveguides, for example), have been also performed [16][17][18][19][20].These investigations have shown how a structured environment, such as a cavity or a medium with periodic refractive index, can be exploited to control and tailor the spontaneous decay, as well as energy shifts of atomic levels, resonance and dispersion interactions between atoms, or the resonant energy transfer between atoms or molecules [21][22][23][24][25][26].New interesting features appear when the boundary conditions on the field, or some relevant parameter of the system, change in time. Dynamical environments, whose optical properties change periodically in time, have been recently investigated, in particular in connection with the dynamical Casimir and Casimir-Polder effects [27][28][29][30].…”

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Spontaneous Emission of an Atom Near an Oscillating Mirror

et al. 2019

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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. I. INTRODUCTIONRecent advances in quantum optics techniques and atomic physics have opened new perspectives for cavity quantum electrodynamics and solid state physics, making possible engineering systems with a tunable atom-photon coupling. Nowadays, the possibility to tailor and control radiative processes through suitable environments is of crucial importance in many different areas, ranging from condensed matter physics to quantum optics and quantum information theory [1,2].One of the most fundamental quantum processes is the spontaneous emission of radiation by atoms [3]. Purcell in 1946 first suggested that spontaneous emission is not an unvarying property of the atoms, but it can be controlled (enhanced or inhibited) through the environment [4]. Physical properties of spontaneously emitted radiation depend strongly on the environment where the atom is placed: modifying the photon density of states and vacuum field fluctuations allows to change the spontaneous emission rate [5,6]. Many physical systems have been explored in the literature to investigate this important process. These include, for example, atoms in cavities or waveguides [5,[7][8][9][10], quantum dots in photonic crystals or in a medium with a photonic band gap [11][12][13], and quantum emitters in metamaterials [14]. Spontaneous decay of excited atoms in the presence of a driving laser field has been also investigated [15]. Many experiments showing modifications of spontaneous emission of atoms in external environments (a single mirror, optical cavit...

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Spontaneous Emission of an Atom Near an Oscillating Mirror

et al. 2019

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“…Recently, it has been discussed that resonant interactions can be modified (enhanced or inhibited) in various circumstances, for example when the atoms are immersed in a structured environment such as a photonic crystal or a waveguide [50,51]. The relation of the resonance interaction with other physical processes, such as the resonant energy transfer [47], as well as its role in some coherent biological processes [52], have been also investigated.…”

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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“…All this is relevant because these methods can provide very useful computational tools to evaluate dispersion interactions in complicated geometries, also allowing the possibility to change and manipulate radiation-mediated interactions between atoms or molecules through the environment. This is still more striking for the resonance interaction, where the exchange of real photons is also present [43,112,113].…”

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Dispersion Interactions between Neutral Atoms and the Quantum Electrodynamical Vacuum

Passante

2018

Symmetry

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Dispersion interactions are long-range interactions between neutral ground-state atoms or molecules, or polarizable bodies in general, due to their common interaction with the quantum electromagnetic field. They arise from the exchange of virtual photons between the atoms, and, in the case of three or more atoms, are not additive. In this review, after having introduced the relevant coupling schemes and effective Hamiltonians, as well as properties of the vacuum fluctuations, we outline the main properties of dispersion interactions, both in the nonretarded (van der Waals) and retarded (Casimir-Polder) regime. We then discuss their deep relation with the existence of the vacuum fluctuations of the electromagnetic field and vacuum energy. We describe some transparent physical models of two-and three-body dispersion interactions, based on dressed vacuum field energy densities and spatial field correlations, which stress their deep connection with vacuum fluctuations and vacuum energy. These models give a clear insight of the physical origin of dispersion interactions, and also provide useful computational tools for their evaluation. We show that this aspect is particularly relevant in more complicated situations, for example when macroscopic boundaries are present. We also review recent results on dispersion interactions for atoms moving with noninertial motions and the strict relation with the Unruh effect, and on resonance interactions between entangled identical atoms in uniformly accelerated motion. * roberto.passante@unipa.it arXiv:1812.05078v1 [quant-ph]

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Enhanced resonant force between two entangled identical atoms in a photonic crystal

Cited by 25 publications

References 43 publications

Spontaneous Emission of an Atom Near an Oscillating Mirror

Spontaneous Emission of an Atom Near an Oscillating Mirror

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

Dispersion Interactions between Neutral Atoms and the Quantum Electrodynamical Vacuum

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