Then again, how often does the Unruh–DeWitt detector click if we switch it carefully?

Satz, Alejandro

doi:10.1088/0264-9381/24/7/003

Cited by 111 publications

(211 citation statements)

References 18 publications

(76 reference statements)

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“…We shall show that most of the arguments in [8] carry over to this situation, and we shall find the expressions that generalise (2.12) and (2.13). These expressions will then be applied to two examples.…”

Section: Particle Detectors and Their Regularisationmentioning

confidence: 64%

“…Following the procedure used in [8], we split the s-integral into the subintervals (0, η) and (η, ∞), with η = √ ǫ, estimate the integrand in each subinterval and finally combine the results. We shall make use of the small s expansions…”

Section: Regulator-free Response Function In a Generalmentioning

confidence: 99%

“…Following [8], we take the term proportional to 1/η under the s-integral, add and subtract under the s-integral the term χ(u − s)/(4π 2 s 2 ) and group the terms in the form 15) where in the last term the interchange of the u-integral and the s-integral is justified by absolute convergence of the double integral. The limit η → 0 can now be taken by simply setting η = 0.…”

Section: Joining the Subintervalsmentioning

confidence: 99%

“…The second term in (3.16) was analysed in [8], with the result that it only depends on ∆τ and δ through the combination δ/∆τ and has at small δ/∆τ the asymptotic form…”

Section: Sharp Switching Limitmentioning

confidence: 99%

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Transition rate of the Unruh–DeWitt detector in curved spacetime

Louko¹,

Satz²

2008

Class. Quantum Grav.

Self Cite

164

252

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We examine the Unruh-DeWitt particle detector coupled to a scalar field in an arbitrary Hadamard state in four-dimensional curved spacetime. Using smooth switching functions to turn on and off the interaction, we obtain a regulatorfree integral formula for the total excitation probability, and we show that an instantaneous transition rate can be recovered in a suitable limit. Previous results in Minkowski space are recovered as a special case. As applications, we consider an inertial detector in the Rindler vacuum and a detector at rest in a static Newtonian gravitational field. Gravitational corrections to decay rates in atomic physics laboratory experiments on the surface of the Earth are estimated to be suppressed by 42 orders of magnitude.

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Section: Particle Detectors and Their Regularisationmentioning

confidence: 64%

Section: Regulator-free Response Function In a Generalmentioning

confidence: 99%

Section: Joining the Subintervalsmentioning

confidence: 99%

“…The second term in (3.16) was analysed in [8], with the result that it only depends on ∆τ and δ through the combination δ/∆τ and has at small δ/∆τ the asymptotic form…”

Section: Sharp Switching Limitmentioning

confidence: 99%

See 2 more Smart Citations

Transition rate of the Unruh–DeWitt detector in curved spacetime

Louko¹,

Satz²

2008

Class. Quantum Grav.

Self Cite

164

252

View full text Add to dashboard Cite

show abstract

“…First, the firewall Wightman function must be evolved from the initial data at t = 0 using the (3 + 1)-dimensional field commutator. Second, recall that while the transition probability of a pointlike Unruh-DeWitt detector is well defined in 3 + 1 dimensions (an account that includes the switching effects can be found in [25,26]), the evolution of the full density operator is singular even in Minkowski vacuum, as seen from (16) and from the nonintegrable coincidence limit singularity of the (3 + 1)-dimensional Wightman function [27,28]. A decoherence analysis would hence require an additional regularisation of the detector model, for example by a spatial smearing, a standard and well documented procedure [16,[29][30][31].…”

mentioning

confidence: 99%

(1+1)DCalculation Provides Evidence that Quantum Entanglement Survives a Firewall

Martín-Martínez

Louko

2015

Phys. Rev. Lett.

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We analyze how pre-existing entanglement between two Unruh-DeWitt particle detectors evolves when one of the detectors falls through a Rindler firewall in (1+1)-dimensional Minkowski space. The firewall effect is minor and does not wash out the detector-detector entanglement, in some regimes even preserving the entanglement better than Minkowski vacuum. The absence of cataclysmic events should continue to hold for young black hole firewalls. A firewall's prospective ability to resolve the information paradox must hence hinge on its detailed gravitational structure, presently poorly understood.Introduction.-If black hole evaporation preserves unitarity, it has been argued from preservation of correlations that the horizon of a shrinking black hole must develop a singularity even when the evaporation is still slow and the black hole remains macroscopic [1-3] (for a selection of debate and reviews see [4][5][6][7][8][9][10][11]). Modeling the gravitational aspects of this proposed singularity has remained elusive. For instance, the emergence of a Planck scale shell near the horizon of an astrophysical black hole seems to be in tension with the gravitational dynamics predicted by general relativity [12]. Nevertheless, the nongravitational aspects of the "firewall" version of the singularity [3] can be modeled with a quantum field in Minkowski spacetime: a state in which correlations across a Rindler horizon are severed can be written down by hand [13], mimicking the severing that the firewall argument of [3] posits to develop dynamically during black hole evaporation. This severing of correlations has strong similarities to that which ensues on the sudden insertion of a reflective wall in a spacetime [14,15]. The Rindler firewall state can be studied by usual quantum field theory techniques, and the conclusions should apply to young gravitational firewalls where the backreaction on the metric is still small.

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Unruh-DeWitt Detector on the BTZ Black Hole

Hodgkinson

Louko

2014

Springer Proceedings in Physics

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Abstract. We examine an Unruh-DeWitt particle detector coupled to a scalar field in three-dimensional curved spacetime, within first-order perturbation theory. We first obtain a causal and manifestly regular expression for the instantaneous transition rate in an arbitrary Hadamard state. We then specialise to the Bañados-Teitelboim-Zanelli black hole and to a massless conformally coupled field in the Hartle-Hawking vacuum. A co-rotating detector responds thermally in the expected local Hawking temperature, while a freely-falling detector shows no evidence of thermality in regimes that we are able to probe, not even far from the horizon. The boundary condition at the asymptotically anti-de Sitter infinity has a significant effect on the transition rate.

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Then again, how often does the Unruh–DeWitt detector click if we switch it carefully?

Cited by 111 publications

References 18 publications

Transition rate of the Unruh–DeWitt detector in curved spacetime

Transition rate of the Unruh–DeWitt detector in curved spacetime

(1+1)DCalculation Provides Evidence that Quantum Entanglement Survives a Firewall

Unruh-DeWitt Detector on the BTZ Black Hole

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