Transition rate of the Unruh–DeWitt detector in curved spacetime

Louko, Jorma; Satz, Alejandro

doi:10.1088/0264-9381/25/5/055012

Cited by 164 publications

(267 citation statements)

References 33 publications

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“…The explicit expression for 14) where K d/2−1 is the modified Bessel function of the second kind [27] and…”

Section: Quantum Dirac Fieldmentioning

confidence: 99%

“…Despite its mathematical simplicity, this modelling captures the core features of the dipole interaction by which atomic orbitals couple to the electromagnetic field [3,4]. In the special case of a uniformly linearly accelerated observer coupled to a field in its Minkowski vacuum, detector analyses have provided significant evidence that the Unruh effect [1], the thermal response of the observer, occurs whenever the interaction time is long, the interaction switch-on and switch-off are sufficiently slow and the back-reaction of the observer on the quantum field remains small [1,2,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19].…”

Section: Introductionmentioning

confidence: 99%

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Unruh-DeWitt detector’s response to fermions in flat spacetimes

Louko

Toussaint

2016

Phys. Rev. D

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We examine an Unruh-DeWitt particle detector that is coupled linearly to the scalar density of a massless Dirac field in Minkowski spacetimes of dimension d ≥ 2 and on the static Minkowski cylinder in spacetime dimension two, allowing the detector's motion to remain arbitrary and working to leading order in perturbation theory. In d-dimensional Minkowski, with the field in the usual Fock vacuum, we show that the detector's response is identical to that of a detector coupled linearly to a massless scalar field in 2d-dimensional Minkowski. In the special case of uniform linear acceleration, the detector's response hence exhibits the Unruh effect with a Planckian factor in both even and odd dimensions, in contrast to the Rindler power spectrum of the Dirac field, which has a Planckian factor for odd d but a Fermi-Dirac factor for even d. On the two-dimensional cylinder, we set the oscillator modes in the usual Fock vacuum but allow an arbitrary state for the zero mode of the periodic spinor. We show that the detector's response distinguishes the periodic and antiperiodic spin structures, and the zero mode of the periodic spinor contributes to the response by a state-dependent but well defined amount. Explicit analytic and numerical results on the cylinder are obtained for inertial and uniformly accelerated trajectories, recovering the d = 2 Minkowski results in the limit of large circumference. The detector's response has no infrared ambiguity for d = 2, neither in Minkowski nor on the cylinder.

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“…The explicit expression for 14) where K d/2−1 is the modified Bessel function of the second kind [27] and…”

Section: Quantum Dirac Fieldmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Unruh-DeWitt detector’s response to fermions in flat spacetimes

Louko

Toussaint

2016

Phys. Rev. D

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“…It should be noted the appearance of Minkowski contribution, as a function of the conformal time η. The transition probability per unit proper time of the detector depends on the response function per unit proper time which, for radial trajectories, at finite time τ may be written as [53,54] …”

Section: The Unruh-dewitt Detectormentioning

confidence: 99%

Unruh–DeWitt Detectors in Spherically Symmetric Dynamical Space-Times

et al. 2011

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In the present paper, Unruh-DeWitt detectors are used in order to investigate the issue of temperature associated with a spherically symmetric dynamical space-times. Firstly, we review the semi-classical tunneling method, then we introduce the Unruh-DeWitt detector approach. We show that for the generic static black hole case and the FRW de Sitter case, making use of peculiar Kodama trajectories, semiclassical and quantum field theoretic techniques give the same standard and well known thermal interpretation, with an associated temperature, corrected by appropriate Tolman factors. For a FRW space-time interpolating de Sitter space with the Einstein-de Sitter universe (that is a more realistic situation in the frame of ΛCDM cosmologies), we show that the detector response splits into a de Sitter contribution plus a fluctuating term containing no trace of Boltzmann-like factors, but rather describing the way thermal equilibrium is reached in the late time limit. As a consequence, and unlike the case of black holes, the identification of the dynamical surface gravity of a cosmological trapping horizon as an effective temperature parameter seems lost, at least for our co-moving simplified detectors. The possibility remains that a detector performing a proper motion along a Kodama trajectory may register something more, in which case the horizon surface gravity would be associated more likely to vacuum correlations than to particle creation.

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“…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].…”

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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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Transition rate of the Unruh–DeWitt detector in curved spacetime

Cited by 164 publications

References 33 publications

Unruh-DeWitt detector’s response to fermions in flat spacetimes

Unruh-DeWitt detector’s response to fermions in flat spacetimes

Unruh–DeWitt Detectors in Spherically Symmetric Dynamical Space-Times

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

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