Quantum Vacuum Radiation and Detection Proposals

Rosu, H. C.

doi:10.1007/s10773-005-3979-4

Cited by 12 publications

(17 citation statements)

References 80 publications

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“…As we shall see, this frequency dependence is also a feature along the Nulltor (cusped), Infrator (catenary) and Hypertor (helix) motions (see table 1). Rosu [27] notes that this terminology emphasizing the torsion was first used by Letaw. We must place special emphasis at this point on the fact that the temperatures for the latter two trajectories have not been discussed much in the literature.…”

Section: Jhep06(2020)059mentioning

confidence: 99%

Unruh-like effects: effective temperatures along stationary worldlines

Good

Juárez-Aubry

Moustos

et al. 2020

J. High Energ. Phys.

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We study the detailed balance temperatures recorded along all classes of stationary, uniformly accelerated worldlines in four-dimensional Minkowski spacetime, namely along (i) linear uniform acceleration, (ii) cusped, (iii) circular, (iv) catenary, and (v) helix worldlines, among which the Unruh temperature is the particular case for linear uniform acceleration. As a measuring device, we employ an Unruh-DeWitt detector, modeled as a qubit that interacts for a long time with a massless Klein-Gordon field in the vacuum state. The temperatures in each case (i)-(v) are functions of up to three invariant quantities: curvature or proper acceleration, κ, torsion, b, and hypertorsion, ν, and except for the case (i), they depend on the transition frequency difference of the detector, ω. We investigate numerically the behavior of the frequency-dependent temperatures for different values of κ, b, and ν along the stationary worldlines (ii)-(v) and evaluate analytically the regimes where the temperatures recorded along the different worldlines coincide with each other in terms of relevant asymptotic limits for κ, b, or ν, and discuss their physical meaning. We demonstrate that the temperatures in cases (ii)-(v) dip under the Unruh temperature at low frequencies and go above the Unruh temperature for large |ω|. It is our hope that this study will be relevant to the design of experiments seeking to verify the Unruh effect or generalizations thereof.

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Section: Jhep06(2020)059mentioning

confidence: 99%

Unruh-like effects: effective temperatures along stationary worldlines

Good

Juárez-Aubry

Moustos

et al. 2020

J. High Energ. Phys.

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“…We shall now examine the consequences of our transition rate formula (3.11) for the six families of stationary motions, classified in [19] and reviewed in [21,22]. These motions have the property that (∆x) 2 depends only on the proper time difference between the two points along the trajectory.…”

Section: Stationary Trajectoriesmentioning

confidence: 99%

How often does the Unruh–DeWitt detector click? Regularization by a spatial profile

Louko

Satz

2006

Class. Quantum Grav.

174

269

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We analyse within first-order perturbation theory the instantaneous transition rate of an accelerated Unruh-DeWitt particle detector whose coupling to a massless scalar field on four-dimensional Minkowski space is regularised by a spatial profile. For the Lorentzian profile introduced by Schlicht, the zero-size limit is computed explicitly and expressed as a manifestly finite integral formula that no longer involves regulators or limits. The same transition rate is obtained for an arbitrary profile of compact support under a modified definition of spatial smearing. Consequences for the asymptotic behaviour of the transition rate are discussed. A number of stationary and nonstationary trajectories are analysed, recovering in particular the Planckian spectrum for uniform acceleration.

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“…Each unique motion is a stationary world line solution of the Frenet equations when the curvature invariants of proper acceleration and proper angular velocity are constant. There is a dearth of papers that have treated these worldlines over the last four decades 5 , for instance the exactly solvable motion has been treated in only a handful of papers: [3,[20][21][22][23][24][25][26][27][28].…”

Section: Vacuum Spectramentioning

confidence: 99%

Stationary Worldline Power Distributions

2019

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A worldline with a time-independent spectrum is called stationary. Such worldlines are arguably the most simple motions in physics. Barring the trivially static motion, the non-trivial worldlines are uniformly accelerated. As such, a point charge moving along a stationary worldline will emit constant radiative power. The angular distribution, maximum angle scaling and Thomas precession of this power is found for all stationary worldlines including those with torsion and hypertorsion.

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Quantum Vacuum Radiation and Detection Proposals

Cited by 12 publications

References 80 publications

Unruh-like effects: effective temperatures along stationary worldlines

Unruh-like effects: effective temperatures along stationary worldlines

How often does the Unruh–DeWitt detector click? Regularization by a spatial profile

Stationary Worldline Power Distributions

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