Abstract
We study the effects of horizons on the entanglement harvested between two Unruh-DeWitt detectors via the use of moving mirrors with and without strict horizons. The entanglement reveals the sensitivity of the entanglement harvested to the global dynamics of the trajectories disclosing aspects of the effect that global information loss (where incoming massless scalar field modes from past null infinity cannot reach right future null infinity) has on local particle detectors. We also show that entanglement harvesting is insensitive to the sign of emitted radiation flux.
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References
D. Finkelstein, Past-future asymmetry of the gravitational field of a point particle, Phys. Rev. 110 (1958) 965 [INSPIRE].
N. Birrell and P. Davies, Quantum fields in curved space, Cambridge University Press, Cambridge, U.K. (1984).
L.E. Parker and D. Toms, Quantum field theory in curved spacetime: quantized field and gravity, Cambridge University Press, Cambridge, U.K. (2009).
P.C.W. Davies, Scalar particle production in Schwarzschild and Rindler metrics, J. Phys. A 8 (1975) 609 [INSPIRE].
W.G. Unruh, Notes on black hole evaporation, Phys. Rev. D 14 (1976) 870 [INSPIRE].
S.W. Hawking, Particle creation by black holes, Commun. Math. Phys. 43 (1975) 199 [Erratum ibid. 46 (1976) 206] [INSPIRE].
R.B. Mann, Black holes: thermodynamics, information and firewalls, Springer, Cham, Switzerland (2015).
G. Salton, R.B. Mann and N.C. Menicucci, Acceleration-assisted entanglement harvesting and rangefinding, New J. Phys. 17 (2015) 035001 [arXiv:1408.1395] [INSPIRE].
A. Pozas-Kerstjens and E. Martin-Martinez, Harvesting correlations from the quantum vacuum, Phys. Rev. D 92 (2015) 064042 [arXiv:1506.03081] [INSPIRE].
A. Valentini, Non-local correlations in quantum electrodynamics, Phys. Lett. A 153 (1991) 321.
G.L. Ver Steeg and N.C. Menicucci, Entangling power of an expanding universe, Phys. Rev. D 79 (2009) 044027 [arXiv:0711.3066] [INSPIRE].
E. Martín-Martínez, A.R.H. Smith and D.R. Terno, Spacetime structure and vacuum entanglement, Phys. Rev. D 93 (2016) 044001 [arXiv:1507.02688] [INSPIRE].
K.K. Ng, R.B. Mann and E. Martín-Martínez, Unruh-DeWitt detectors and entanglement: the anti-de Sitter space, Phys. Rev. D 98 (2018) 125005 [arXiv:1809.06878] [INSPIRE].
L.J. Henderson, R.A. Hennigar, R.B. Mann, A.R.H. Smith and J. Zhang, Entangling detectors in anti-de Sitter space, JHEP 05 (2019) 178 [arXiv:1809.06862] [INSPIRE].
L.J. Henderson, R.A. Hennigar, R.B. Mann, A.R.H. Smith and J. Zhang, Harvesting entanglement from the black hole vacuum, Class. Quant. Grav. 35 (2018) 21LT02 [arXiv:1712.10018] [INSPIRE].
P.C.W. Davies and S.A. Fulling, Radiation from a moving mirror in two-dimensional space-time conformal anomaly, Proc. Roy. Soc. Lond. A 348 (1976) 393 [INSPIRE].
P.C.W. Davies and S.A. Fulling, Radiation from moving mirrors and from black holes, Proc. Roy. Soc. Lond. A 356 (1977) 237 [INSPIRE].
A.A. Svidzinsky, J.S. Ben-Benjamin, S.A. Fulling and D.N. Page, Excitation of an atom by a uniformly accelerated mirror through virtual transitions, Phys. Rev. Lett. 121 (2018) 071301 [INSPIRE].
M.R.R. Good, P.R. Anderson and C.R. Evans, Time dependence of particle creation from accelerating mirrors, Phys. Rev. D 88 (2013) 025023 [arXiv:1303.6756] [INSPIRE].
M.R.R. Good, P.R. Anderson and C.R. Evans, Mirror reflections of a black hole, Phys. Rev. D 94 (2016) 065010 [arXiv:1605.06635] [INSPIRE].
M.R.R. Good, K. Yelshibekov and Y.C. Ong, On horizonless temperature with an accelerating mirror, JHEP 03 (2017) 013 [arXiv:1611.00809] [INSPIRE].
W. Cong, E. Tjoa and R.B. Mann, Entanglement harvesting with moving mirrors, JHEP 06 (2019) 021 [Erratum ibid. 07 (2019) 051] [arXiv:1810.07359] [INSPIRE].
J.R. Johansson, G. Johansson, C.M. Wilson, P. Delsing and F. Nori, Nonclassical microwave radiation from the dynamical Casimir effect, Phys. Rev. A 87 (2013) 043804 [arXiv:1207.1988] [INSPIRE].
P. Chen and G. Mourou, Accelerating plasma mirrors to investigate black hole information loss paradox, Phys. Rev. Lett. 118 (2017) 045001 [arXiv:1512.04064] [INSPIRE].
P. Chen and G. Mourou, Trajectory of a flying plasma mirror traversing a target with density gradient, arXiv:2004.10615 [INSPIRE].
M.R.R. Good, A. Zhakenuly and E.V. Linder, Mirror at the edge of the universe: reflections on an accelerated boundary correspondence with de Sitter cosmology, Phys. Rev. D 102 (2020) 045020 [arXiv:2005.03850] [INSPIRE].
M. Good and E. Abdikamalov, Radiation from an inertial mirror horizon, Universe 6 (2020) 131 [arXiv:2008.08776] [INSPIRE].
M.R.R. Good, J. Foo and E.V. Linder, Accelerating boundary analog of a Kerr black hole, arXiv:2006.01349 [INSPIRE].
M.R.R. Good and E.V. Linder, Finite energy but infinite entropy production from moving mirrors, Phys. Rev. D 99 (2019) 025009 [arXiv:1807.08632] [INSPIRE].
A. Fabbri and J. Navarro-Salas, Modeling black hole evaporation, Imperial College Press, London, U.K. (2005).
M.R.R. Good, E.V. Linder and F. Wilczek, Moving mirror model for quasithermal radiation fields, Phys. Rev. D 101 (2020) 025012 [arXiv:1909.01129] [INSPIRE].
M.R.R. Good, Spacetime continuity and quantum information loss, Universe 4 (2018) 122 [INSPIRE].
L.H. Ford, Constraints on negative energy fluxes, Phys. Rev. D 43 (1991) 3972 [INSPIRE].
K.K. Ng, R.B. Mann and E. Martín-Martínez, The equivalence principle and QFT: can a particle detector tell if we live inside a hollow shell?, Phys. Rev. D 94 (2016) 104041 [arXiv:1606.06292] [INSPIRE].
W. Cong, E. Tjoa and R.B. Mann, Entanglement harvesting with moving mirrors, JHEP 06 (2019) 021 [Erratum ibid. 07 (2019) 051] [arXiv:1810.07359] [INSPIRE].
A.R.H. Smith and R.B. Mann, Looking inside a black hole, Class. Quant. Grav. 31 (2014) 082001 [arXiv:1309.4125] [INSPIRE].
W.K. Wootters, Entanglement of formation and concurrence, Quantum Info. Comput. 1 (2001) 27.
W. Cong, J. Bicak, D. Kubiznak and R.B. Mann, Quantum distinction of inertial frames: local versus global, Phys. Rev. D 101 (2020) 104060 [arXiv:2003.09719] [INSPIRE].
K.K. Ng, R.B. Mann and E. Martin-Martinez, The equivalence principle and QFT: can a particle detector tell if we live inside a hollow shell?, Phys. Rev. D 94 (2016) 104041 [arXiv:1606.06292] [INSPIRE].
B.S. DeWitt, Quantum field theory in curved space-time, Phys. Rept. 19 (1975) 295 [INSPIRE].
M.R.R. Good, Y.C. Ong, A. Myrzakul and K. Yelshibekov, Information preservation for null shell collapse: a moving mirror model, Gen. Rel. Grav. 51 (2019) 92 [arXiv:1801.08020] [INSPIRE].
S.-Y. Lin, C.-H. Chou and B.L. Hu, Disentanglement of two harmonic oscillators in relativistic motion, Phys. Rev. D 78 (2008) 125025 [arXiv:0803.3995] [INSPIRE].
D.C.M. Ostapchuk, S.-Y. Lin, R.B. Mann and B.L. Hu, Entanglement dynamics between inertial and non-uniformly accelerated detectors, JHEP 07 (2012) 072 [arXiv:1108.3377] [INSPIRE].
E. Bianchi and M. Smerlak, Entanglement entropy and negative energy in two dimensions, Phys. Rev. D 90 (2014) 041904 [arXiv:1404.0602] [INSPIRE].
E. Bianchi, T. De Lorenzo and M. Smerlak, Entanglement entropy production in gravitational collapse: covariant regularization and solvable models, JHEP 06 (2015) 180 [arXiv:1409.0144] [INSPIRE].
M.R.R. Good and E.V. Linder, Eternal and evanescent black holes and accelerating mirror analogs, Phys. Rev. D 97 (2018) 065006 [arXiv:1711.09922] [INSPIRE].
P. Chen and D.-H. Yeom, Entropy evolution of moving mirrors and the information loss problem, Phys. Rev. D 96 (2017) 025016 [arXiv:1704.08613] [INSPIRE].
M.R.R. Good, Extremal Hawking radiation, Phys. Rev. D 101 (2020) 104050 [arXiv:2003.07016] [INSPIRE].
F. Wilczek, Quantum purity at a small price: easing a black hole paradox, in International symposium on black holes, membranes, wormholes and superstrings, (1993), pg. 1 [hep-th/9302096] [INSPIRE].
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Cong, W., Qian, C., Good, M.R. et al. Effects of horizons on entanglement harvesting. J. High Energ. Phys. 2020, 67 (2020). https://doi.org/10.1007/JHEP10(2020)067
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DOI: https://doi.org/10.1007/JHEP10(2020)067