Probing quantum vacuum fluctuations over a charged particle near a reflecting wall

Lorenci, V. A. De; Ribeiro, C. C. H.; Silva, M. M.

doi:10.1103/physrevd.94.105017

Cited by 22 publications

(69 citation statements)

References 16 publications

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“…Panel b on the other hand, exhibits negative dispersions in some interval of time. Negative dispersion has also been reported in previous works with both original [17] and modified [18,29,30] system and has been often intrepreted as a consequence of the renormalization with respect to the Minkowski vacuum fluctuations. In Sec.…”

Section: A Slab Space -E 16supporting

confidence: 71%

“…1 also illustrate the different behavior in this limit for small time and signs of the dispersions in x and y (or z) directions in this limit. Equations (29) and (30) along with these panels show the absolute values of mean squared velocity fluctuation tends distinctively to zero. The nontrivial topology plays different role even for small time in compact and noncompact directions.…”

Section: A Slab Space -E 16mentioning

confidence: 96%

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Electromagnetic vacuum fluctuations and topologically induced motion of a charged particle

Béssa

Rebouças

2020

Class. Quantum Grav.

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We show that a nontrivial topologies of the spatial section of Minkowski space-time allow for motion of a charged particle under quantum vacuum fluctuation of the electromagnetic field. This is a potentially observable effect of the quantum vacuum fluctuations of the electromagnetic field.We derive mean squared velocity dispersion when the charged particle lies in Minkowski spacetime with compact spatial sections in one, two and/or three directions. We concretely examine the details of these stochastic motions when the spatial section is endowed with different globally homogeneous and inhomogeneous topologies. We also show that compactification in just one

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Section: A Slab Space -E 16supporting

confidence: 71%

Section: A Slab Space -E 16mentioning

confidence: 96%

Electromagnetic vacuum fluctuations and topologically induced motion of a charged particle

Béssa

Rebouças

2020

Class. Quantum Grav.

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“…Thus, operating with the derivatives, and using the result (see the appendix in Ref. [14]) where j, k, l are positive integers or null and ψ n,p = e i π 2n (1+2p) , the dispersion in the perpendicular direction yields Simple inspection shows that the divergent behavior at τ = 2z, that appears when the sudden switching is assumed, do not occur in this more realistic scenario. Even the divergence at z = 0, usually linked to the Dirichlet boundary condition on the wall, is here regularized.…”

Section: Smooth Switching Scenario Imentioning

confidence: 98%

“…In order to bring more reality to the description of the system under study we can implement a smooth switching by selecting one of the functions in the sequence of functions given by [14] F (n)…”

Section: Smooth Switching Scenario Imentioning

confidence: 99%

“…Before closing, it is worth making a parallel with the similar system of a charged test particle interacting with the vacuum fluctuations of the electromagnetic field in the presence of a perfectly conducting flat wall [7][8][9][10][12][13][14]. First of all, when a sudden switching is implemented, the dispersions of the velocity components perpendicular and parallel to the wall are plagued with the same sort of divergences at z = 0 and τ = 2z as it occurs in the scalar field case.…”

Section: Final Remarksmentioning

confidence: 99%

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Vacuum fluctuations of a scalar field near a reflecting boundary and their effects on the motion of a test particle

Camargo

Lorenci

Ribeiro

et al. 2018

J. High Energ. Phys.

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The contribution from quantum vacuum fluctuations of a real massless scalar field to the motion of a test particle that interacts with the field in the presence of a perfectly reflecting flat boundary is here investigated. There is no quantum induced dispersions on the motion of the particle when it is alone in the empty space. However, when a reflecting wall is introduced, dispersions occur with magnitude dependent on how fast the system evolves between the two scenarios. A possible way of implementing this process would be by means of an idealized sudden switching, for which the transition occurs instantaneously. Although the sudden process is a simple and mathematically convenient idealization it brings some divergences to the results, particularly at a time corresponding to a round trip of a light signal between the particle and the wall. It is shown that the use of smooth switching functions, besides regularizing such divergences, enables us to better understand the behavior of the quantum dispersions induced on the motion of the particle. Furthermore, the action of modifying the vacuum state of the system leads to a change in the particle energy that depends on how fast the transition between these states is implemented. Possible implications of these results to the similar case of an electric charge near a perfectly conducting wall are discussed.

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Remarks on the influence of quantum vacuum fluctuations over a charged test particle near a conducting wall

Lorenci

Ribeiro

2019

J. High Energ. Phys.

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Quantum vacuum fluctuations of the electromagnetic field in empty space seem not to produce observable effects over the motion of a charged test particle. However, when a change in the background vacuum state is implemented, as for instance when a conducting boundary is introduced, dispersions of the particle velocity may occur. As a consequence, besides the existence of classical effects due to the interaction between particle and boundary, there will be a quantum contribution to the motion of the particle whose magnitude depends on how fast the transition between the different vacuum states occurs. Here this issue is revisited and a smooth transition with a controllable switching time between the vacuum states of the system is implemented. Dispersions of the particle velocity in both, zero and finite temperature regimes are examined. More than just generalizing previous results for specific configurations, new effects are unveiled. Particularly, it is shown that the well known vacuum dominance reported to occur arbitrarily near the wall is a consequence of assumed idealizations. The use of a controllable switching enables us to conclude that thermal effects can be as important as, or even stronger than, vacuum effects arbitrarily near the wall. Additionally, the residual effect predicted to occur in the late time regime was here shown to be linked to the duration of the transition. In this sense, such effect is understood to be a sort of particle energy exchanging due to the vacuum state transition. Furthermore, in certain arrangements a sort of cooling effect over the motion of the particle can occur, i.e., the kinetic energy of the particle is lessen by a certain amount due to subvacuum quantum fluctuations.

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Probing quantum vacuum fluctuations over a charged particle near a reflecting wall

Cited by 22 publications

References 16 publications

Electromagnetic vacuum fluctuations and topologically induced motion of a charged particle

Electromagnetic vacuum fluctuations and topologically induced motion of a charged particle

Vacuum fluctuations of a scalar field near a reflecting boundary and their effects on the motion of a test particle

Remarks on the influence of quantum vacuum fluctuations over a charged test particle near a conducting wall

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