Uniformly accelerated point charge along a cusp

Good, Michael R. R.; Oikonomou, Thomas; Akhmetzhanova, G.

doi:10.1002/asna.201713453

Cited by 5 publications

(7 citation statements)

References 33 publications

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“…The Nulltor and Parator cases both have uniform acceleration of κ, with an exactly analytic spectrum, confirmed in, e.g. [19], as first found in Letaw [2].…”

Section: Vacuum Spectrasupporting

confidence: 65%

“…For the case of Nulltor and Parator motions, the answer does not depend on curvature invariants, and we will always get the same maximum angle, as it was demonstrated in [19]. For the case of Infrator and Hypertor motions we removed the constant variables κ, τ , and ν, because they do not affect the final scaling results with respect to γ.…”

Section: Scaling At High Speedsmentioning

confidence: 57%

“…The current work is a continuation of [19] which focused exclusively on Parator. This work contains the new power distributions of both Infrator and Hypertor which are harder because they are not single parameter systems and their spectra are not analytic despite being time-independent.…”

Section: Vacuum Spectramentioning

confidence: 99%

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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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“…The Nulltor and Parator cases both have uniform acceleration of κ, with an exactly analytic spectrum, confirmed in, e.g. [19], as first found in Letaw [2].…”

Section: Vacuum Spectrasupporting

confidence: 65%

Section: Scaling At High Speedsmentioning

confidence: 57%

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Stationary Worldline Power Distributions

2019

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“…In the Nulltor case this is the Unruh temperature along a linearly uniformly accelerated trajectory, see, e.g., [1,7,8,28,[38][39][40]. For the Parator trajectory, see, e.g., [7,12,28,41]. The effective temperature in the Ultrator (circular) case was studied already in [4][5][6], and is also discussed thoroughly in the recent work [10], but the rigorous analytic results as b → κ and as κ → 0 that we present here are new.…”

Section: Jhep06(2020)059 3 the Effective Temperaturesmentioning

confidence: 69%

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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“…which can be written as We should stress that some results reported in the literature (e.g. [9,20,21]) for a detector following the cusped trajectory (5.7) would seem to suggest that the detector becomes thermalised at a temperature a/(12) 1/2 . However, our result (5.10), which is in agreement with [12,Eq.…”

Section: The Hawking Effectmentioning

confidence: 99%

Asymptotic states for stationary Unruh-DeWitt detectors

Juárez-Aubry

Moustos

2019

Phys. Rev. D

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We study the late-time asymptotic state of a stationary Unruh-DeWitt detector interacting with a field in a thermal state. We work in an open system framework, where the field plays the role of an environment for the detector. The long-time interaction between the detector and the field is modelled with the aid of a one-parameter family of switching functions that turn on and off the interaction Hamiltonian between the two subsystems, such that the long-time interaction limit is reached as the family parameter goes to infinity. In such limit, we show that if the field is in a Kubo-Martin-Schwinger (KMS) state and the detector is stationary with respect to the notion of positive frequency of the field, in the Born-Markov approximation, the asymptotic state of the detector is a Gibbs state at the KMS temperature. We then relax the KMS condition for the field state, and require only that a frequencydependent version of the detailed balance condition for the Wightman function pulled back to the detector worldline hold, in the sense that the inverse temperature appearing in the detailed balance relation need not be constant. In this setting, we show that the late-time asymptotic state of the detector has the form of a thermal density matrix, but with a frequency-dependent temperature. We present examples of these results, which include the classical Unruh effect and idealised Hawking radiation (for fields in the HHI state), and also the study of the late-time behaviour of detectors following stationary "cusped" and circular motions in Minkowski space interacting with a massless Klein-Gordon field in the Minkowski vacuum. In the cusped motion case, a frequency-dependent, effective temperature for the asymptotic late-time detector state is obtained analytically. In the circular motion case, such effective temperature is obtained numerically. * Electronic address: benito.juarez@iimas.unam.mx † Electronic address: dmoustos@upatras.gr

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Uniformly accelerated point charge along a cusp

Abstract: A uniformly accelerated point charge with an analytic vacuum excitation spectrum is examined. We find the angular distribution of the Larmor radiation.

Cited by 5 publications

References 33 publications

Stationary Worldline Power Distributions

Stationary Worldline Power Distributions

Unruh-like effects: effective temperatures along stationary worldlines

Asymptotic states for stationary Unruh-DeWitt detectors

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