Controllable spontaneous decay at material wedges

Skipsey, Samuel Cadellin; Al‐Amri, M.; Babiker, M.; Juzeliūnas, Gediminas

doi:10.1103/physreva.73.011803

Cited by 9 publications

(13 citation statements)

References 14 publications

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“…The interaction of an atom with a wedge was studied in Refs. [31,32,33,34,35]; this geometry is that of the experiment by Sukenik et al carried out more than 15 years ago [36].…”

Section: Introductionmentioning

confidence: 99%

Casimir effect for a semitransparent wedge and an annular piston

2009

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We consider the Casimir energy due to a massless scalar field in a geometry of an infinite wedge closed by a Dirichlet circular cylinder, where the wedge is formed by δ-function potentials, so-called semitransparent boundaries. A finite expression for the Casimir energy corresponding to the arc and the presence of both semitransparent potentials is obtained, from which the torque on the sidewalls can be derived. The most interesting part of the calculation is the nontrivial nature of the angular mode functions. Numerical results are obtained which are closely analogous to those recently found for a magnetodielectric wedge, with the same speed of light on both sides of the wedge boundaries.Alternative methods are developed for annular regions with radial semitransparent potentials, based on reduced Green's functions for the angular dependence, which allows calculations using the multiple-scattering formalism. Numerical results corresponding to the torque on the radial plates are likewise computed, which generalize those for the wedge geometry. Generally useful formulas for calculating Casimir energies in separable geometries are derived.

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“…The interaction of an atom with a wedge was studied in Refs. [31,32,33,34,35]; this geometry is that of the experiment by Sukenik et al carried out more than 15 years ago [36].…”

Section: Introductionmentioning

confidence: 99%

Casimir effect for a semitransparent wedge and an annular piston

2009

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“…where d = r 0 sin θ 0 denotes the distance between the atom and the plane. This is the usual expression for the Casimir-Polder interaction [18,30]. It should be noted that for the special case α = 2π, we have p = 1 2 , that is the wedge degenerates into a half-sheet.…”

Section: B the Energy Level Shiftmentioning

confidence: 88%

“…where d = r 0 sin θ 0 denotes the distance between the atom and the plane. This is the usual expression for the Casimir-Polder interaction [18,30].…”

Section: B the Energy Level Shiftmentioning

confidence: 99%

“…The presence of a boundary surface gives rise to alterations of vacuum field fluctuations and accordingly the energy level shifts and the decay rate of atomic systems change as the atom changes its position with respect to boundary surfaces [8][9][10][11][12][13][14][15]. The formalisms using different methods for the only dipole decay rate was explained in other literatures [16][17][18]. In this paper, we use another approach that describe both of the decay rate and the energy level shifts of a an atom in terms of the imaginary part of the dimensionless vector potential Green's function.…”

Section: Introductionmentioning

confidence: 99%

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Energy-level shifts and the decay rate of an atom in the presence of a conducting wedge

Mohammadi

Kheirandish

2015

Phys. Rev. A

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In the present article explicit expressions for the decay rate and energy level shifts of an atom in the presence of an ideal conducting wedge, two parallel plates and a half-sheet are obtained in the frame work of the canonical quantization approach. The angular and radial dependence of the decay rate for different atomic polarizations of an excited atom and also of the energy level shifts are depicted and discussed. The consistency of the present approach in some limiting cases is investigated by comparing the relevant results obtained here to the previously reported results.

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“…13 The theory of that interaction was worked out by Barton 14 and others. [15][16][17][18] The semitransparent wedge has very recently been considered by Milton, Wagner, and Kirsten. 19 The closely related case of circular symmetry has been treated in several papers, dealing with a perfectly conducting circular boundary, [20][21][22] as well as the case of a dielectric circular boundary.…”

Section: Introductionmentioning

confidence: 99%

Electromagnetic Casimir Effect in Wedge Geometry and the Energy-Momentum Tensor in Media

Brevik

Ellingsen

Milton

2010

Int. J. Mod. Phys. A

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The wedge geometry closed by a circular-cylindrical arc is a nontrivial generalization of the cylinder, which may have various applications. If the radial boundaries are not perfect conductors, the angular eigenvalues are only implicitly determined. When the speed of light is the same on both sides of the wedge, the Casimir energy is finite, unlike the case of a perfect conductor, where there is a divergence associated with the corners where the radial planes meet the circular arc. We advance the study of this system by reporting results on the temperature dependence for the conducting situation. We also discuss the appropriate choice of the electromagnetic energy-momentum tensor.

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Controllable spontaneous decay at material wedges

Cited by 9 publications

References 14 publications

Casimir effect for a semitransparent wedge and an annular piston

Casimir effect for a semitransparent wedge and an annular piston

Energy-level shifts and the decay rate of an atom in the presence of a conducting wedge

Electromagnetic Casimir Effect in Wedge Geometry and the Energy-Momentum Tensor in Media

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