Onset and decay of the 1 + 1 Hawking–Unruh effect: what the derivative-coupling detector saw

Juárez-Aubry, Benito A.; Louko, Jorma

doi:10.1088/0264-9381/31/24/245007

Cited by 63 publications

(126 citation statements)

References 88 publications

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“…For detectors static in the (t, x) coordinates, we have t = τ and the proper time derivative reduces to partial derivative ∂ t . As shown in [28], in addition to removing the dependence of the excitation probability on the infrared cut-off, this coupling also results in an expression for the probability that looks more similar to the (3+1)D case. In the current case, we can see this by the following: the expressions for P (Ω) and X given in Sec.…”

Section: Detector Response and Concurrence In The Presence Of A Boundarymentioning

confidence: 98%

Entanglement harvesting with moving mirrors

Cong

Tjoa

Mann

2019

J. High Energ. Phys.

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We study the phenomenon of entanglement extraction from the vacuum of a massless scalar field in (1 + 1) dimensional spacetime in presence of a moving Dirichlet boundary condition, i.e. mirror spacetime, using two inertial Unruh-DeWitt detectors. We consider a variety of non-trivial trajectories for these accelerating mirrors and find (1) an entanglement inhibition phenomenon similar to that recently seen for black holes, as well as (2) trajectory-independent entanglement enhancement in some regimes. We show that the qualitative result obtained is the same for both linear and derivative couplings of the detector with the field. arXiv:1810.07359v3 [quant-ph]

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Section: Detector Response and Concurrence In The Presence Of A Boundarymentioning

confidence: 98%

Entanglement harvesting with moving mirrors

Cong

Tjoa

Mann

2019

J. High Energ. Phys.

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“…While we have focused the present paper on static flat spacetimes and to quantum states that are invariant under translations in the Killing time, there would be scope for examining the detector coupled to the Dirac field in more general spacetimes and for more general quantum states, including collapsing star spacetimes [34] and their flat "moving mirror" counterparts [5,18], or spatially homogeneous cosmologies, where Dirac's equation can be solved by separation of variables [35]. For example, if a cosmological spacetime has a de Sitter era, exactly or approximately, how does the detector register the associated Gibbons-Hawking temperature [36]?…”

Section: Discussionmentioning

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%

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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“…with the response function is given by (22). As it is explained in [21] that this quantity (52) is well defined as a function where the pole atȗ = 0 can be avoided by subtracting the extra factor (A similar regularised Wightman function for (1 + 1) dimensional case has been advocated in [28] for a derivative type coupling).…”

Section: A Detector Responsementioning

confidence: 99%

How robust is the indistinguishability between quantum fluctuation seen from noninertial frame and real thermal bath

et al. 2019

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We re-advocated the conjecture of indistinguishability between the quantum fluctuation observed from a Rindler frame and a real thermal bath, for the case of a free massless scalar field. To clarify the robustness and how far such is admissible, in this paper, we investigate the issue from two different non-inertial observers' perspective. A detailed analysis is being done to find the observable quantities as measured by two non-inertial observers (one is Rindler and another is uniformly rotating) on the real thermal bath and Rindler frame in Minkowski spacetime. More precisely, we compare Thermal-Rindler with Rindler-Rindler and Thermal-rotating with Rindler-rotating situations. In the first model it is observed that although some of the observables are equivalent, all the components of renormalised stress-tensor are not same. In the later model we again find that this equivalence is not totally guaranteed. Therefore we argue that the indistinguishability between the real thermal bath and the Rindler frame may not be totally true.PACS numbers: * blue chandramouli@alumni.iitg.ac.in,chandramouli.chowdhury@icts.res.in † blue susmita.das@alumni.iitg.ac.in, susmitad210@gmail.com ‡ blue suroj176121013@iitg.ac.in § blue bibhas.majhi@iitg.ac.in 1 Similar findings have also been obtained for conformal vacuum, seen by the comoving observers, in the case of de-Sitter (dS) Friedmann-Lamatre-Robertson-Walker (FLRW) Universe. An extension to (1 + 1) Schwarzschild black hole revels that the particles in Kruskal and Unruh vacuum states, seen by the Schwarzschild static observer, exhibits same fluctuationdissipation theorem (see [11] for details).

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Onset and decay of the 1 + 1 Hawking–Unruh effect: what the derivative-coupling detector saw

Cited by 63 publications

References 88 publications

Entanglement harvesting with moving mirrors

Entanglement harvesting with moving mirrors

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

How robust is the indistinguishability between quantum fluctuation seen from noninertial frame and real thermal bath

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