Effects of a uniform acceleration on atom–field interactions

Marino, Jamir; Noto, Antonio; Passante, Roberto; Rizzuto, Lucia; Spagnolo, S.

doi:10.1088/0031-8949/2014/t160/014031

Cited by 6 publications

(9 citation statements)

References 23 publications

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“…This physical picture is also consistent with the paradigmatic interpretation of Casimir-Polder forces by Power and Thirunamachandran in [25], and often used to calculate also many-body Casimir-Polder forces [26][27][28]. The radiation reaction contribution can be obtained similarly [24], but for brevity we do not report here its explicit expression. It describes the complementary physical mechanism, in which the atom A has a fluctuating dipole moment (C A ) and it polarizes the field (χ F ); a dipole moment is thus induced in the second atom (χ B ) and it polarizes the field (χ F ), which eventually acts back on atom A.…”

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confidence: 84%

“…The method consists in rewriting these contributions at a given order in perturbation theory as quantum evolutions given by two effective Hamiltonians, H vf /rr ef f , and then compute the vf and rr contributions to the atomic energy level shift (a second-order calculation is sufficient for the Lamb shift). In order to derive the Casimir-Polder interaction for two atoms (A,B), in the quantum states |α and |β respectively, and moving with two arbitrary stationary trajectories x A (τ ) and x B (τ ) (the trajectories of the two atoms differ by a space translation only), we derive the effective Hamiltonians H vf /rr ef f at fourth order in λ for one of the two atoms, as we shall report in detail elsewhere [24]. We disregard the energy shifts independent from the atomic separation, because they do not contribute to the interatomic force.…”

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confidence: 99%

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Thermal and Nonthermal Signatures of the Unruh Effect in Casimir-Polder Forces

2014

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We show that Casimir-Polder forces between two relativistic uniformly accelerated atoms exhibit a transition from the short distance thermal-like behavior predicted by the Unruh effect to a long distance nonthermal behavior, associated with the breakdown of a local inertial description of the system. This phenomenology extends the Unruh thermal response detected by a single accelerated observer to an accelerated spatially extended system of two particles, and we identify the characteristic length scale for this crossover with the inverse of the proper acceleration of the two atoms. Our results are derived separating at fourth order in perturbation theory the contributions of vacuum fluctuations and radiation reaction field to the Casimir-Polder interaction between two atoms moving in two generic stationary trajectories separated by a constant distance and linearly coupled to a scalar field. The field can be assumed in its vacuum state or at finite temperature, resulting in a general method for the computation of Casimir- Polder forces in stationary regimes

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confidence: 99%

Thermal and Nonthermal Signatures of the Unruh Effect in Casimir-Polder Forces

2014

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“…The method consists of rewriting these two different contributions in terms of two effective Hamiltonians, H ef f vf and H ef f sr , and then computing their contribution to the resonant energy shift. This approach has been used to investigate the effect of the atomic acceleration on the radiative properties of single atoms [15,[18][19][20][21][22] and has been recently generalized to calculate the Casimir-Polder interaction between two uniformly accelerated atoms [17].…”

Section: Resonance Interaction Energy Between Accelerated Atoms: mentioning

confidence: 99%

Nonthermal effects of acceleration in the resonance interaction between two uniformly accelerated atoms

et al. 2016

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We study the resonance interaction between two uniformly accelerated identical atoms, one excited and the other in the ground state, prepared in a correlated (symmetric or antisymmetric) state and interacting with the scalar field or the electromagnetic field in the vacuum state. In this case (resonance interaction), the interatomic interaction is a second-order effect in the atom-field coupling. We separate the contributions of vacuum fluctuations and radiation reaction to the resonance energy shift of the system, and show that only radiation reaction contributes, while Unruh thermal fluctuations do not affect the resonance interaction. We also find that beyond a characteristic length scale related to the atomic acceleration, non-thermal-like effects in the radiation reaction contribution change the distance-dependence of the resonance interaction. Finally, we find that previously unidentified features appear, compared with the scalar field case, when the interaction with the electromagnetic field is considered, as a consequence of the peculiar nature of the vacuum quantum noise of the electromagnetic field in a relativistically accelerated background.

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“…It is therefore relevant to investigate theoretically all physical manifestations of the Unruh effect in different physical systems, as well as possible experimental setups to detect this elusive phenomenon at the boundary between quantum mechanics and general relativity. Recently, radiative properties of atoms in noninertial motion [14,[24][25][26][27][28][29][30][31][32][33][34][35][36] or atoms at rest immersed in a thermal bath [37][38][39][40], have been investi-gated, also aiming for proposals of experimental verifications of the Unruh effect. The main aim of these investigations is also to explore the effect of a uniform acceleration on the dynamical properties of atomic systems, and at which extent the Unruh equivalence of acceleration and temperature is valid.…”

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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Effects of a uniform acceleration on atom–field interactions

Cited by 6 publications

References 23 publications

Thermal and Nonthermal Signatures of the Unruh Effect in Casimir-Polder Forces

Thermal and Nonthermal Signatures of the Unruh Effect in Casimir-Polder Forces

Nonthermal effects of acceleration in the resonance interaction between two uniformly accelerated atoms

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

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