scholarly journals Relativistic quantum measurements, the Unruh effect, and black holes

1998 ◽  
Vol 115 (2) ◽  
pp. 542-553 ◽  
Author(s):  
M. B. Mensky
2017 ◽  
Vol 14 (08) ◽  
pp. 1740008 ◽  
Author(s):  
A. P. Balachandran

In non-relativistic quantum mechanics, Born’s principle of localization is as follows: For a single particle, if a wave function [Formula: see text] vanishes outside a spatial region [Formula: see text], it is said to be localized in [Formula: see text]. In particular, if a spatial region [Formula: see text] is disjoint from [Formula: see text], a wave function [Formula: see text] localized in [Formula: see text] is orthogonal to [Formula: see text]. Such a principle of localization does not exist compatibly with relativity and causality in quantum field theory (QFT) (Newton and Wigner) or interacting point particles (Currie, Jordan and Sudarshan). It is replaced by symplectic localization of observables as shown by Brunetti, Guido and Longo, Schroer and others. This localization gives a simple derivation of the spin-statistics theorem and the Unruh effect, and shows how to construct quantum fields for anyons and for massless particles with “continuous” spin. This review outlines the basic principles underlying symplectic localization and shows or mentions its deep implications. In particular, it has the potential to affect relativistic quantum information theory and black hole physics.


2012 ◽  
Vol 90 (1) ◽  
pp. 25-37 ◽  
Author(s):  
A. Sepehri ◽  
M.E. Zomorrodian ◽  
A. Moradi Marjaneh ◽  
P. Eslami ◽  
S. Shoorvazi

In curved space–time near TeV black holes many gluons and quarks produced by the Unruh effect interact with each other and create Higgs bosons. We study the Unruh effect and show that, for gluons and quarks, the internal stationary state of a Schwarzschild black hole can be represented by a maximally entangled two-mode squeezed state of outgoing and infalling Hawking radiation. We consider different channels for Higgs boson production near event horizons of mini black holes at the Large Hadron Collider (LHC) and obtain the cross section in each channel. We observe that the cross section of a Higgs boson produced via gluon fusion near a single black hole is much larger for smaller black hole masses. This is because the temperature of the black hole becomes larger as the mass becomes smaller and the thermal radiation of the gluons is enhanced. At lower mass, MBH < 4 TeV, the black hole will not be able to emit Higgs, but will still be able to produce a quark; for MBH < 3 TeV the black hole can only emit massless gluons. We show that as the black hole mass at the LHC increases (4 TeV < MBH < 8 TeV) most of the Higgs boson production is due to the Unruh effect near the event horizon of the black hole. Comparing these Higgs boson cross sections with Higgs boson cross sections in perturbative quantum chromodynamics, we find that micro black holes can be a source of Higgs production at the LHC. Finally, we calculate the effects of Higgs boson radiation due to mini black holes on the hadronic cross section at the LHC. We observe that as the order of perturbation theory increases this effect becomes systematically more significant because at higher orders there exist more channels for Higgs production and, in our calculations, Higgs decay into massive quark–antiquark pairs. At smaller masses, MBH < 2 TeV, the hadronic cross section at leading order is large while the cross sections at next-to-leading order and at next-to-next-to-leading order are rising at MBH ∼ 2 and 3 TeV, respectively, and exhibit a turn-over at moderate values of black hole mass.


2019 ◽  
Vol 79 (12) ◽  
Author(s):  
Zehua Tian ◽  
Jiangfeng Du

AbstractHawking radiation is one of the most intriguing and elusive predictions of quantum field theory in curved spacetime. Previous works simulating Hawking radiation have been mostly based on Unruh’s scenario, where the propagation of quantum field in classical gravitational background is mimicked. Here, guided by the duality between black holes in Jackiw-Teitelboim (JT) dilaton gravity and solitons in sine-Gordon (SG) field theory, we propose the use of a superconducting circuit for investigating analogue Hawking radiation. $$1+1$$1+1 dimensional black holes can be realized as solitons of the SG equation of superconducting phase. It is found despite the absence of field theoretic dynamical modes, the analogue Hawking radiation is emitted in terms of the quantum soliton evaporation as a result of quantum perturbation of the black hole metric. Our theoretical proposal could not only facilitate the observation of relativistic quantum effects in lab, but also contribute to experimentally exploring the quantum mechanics of solitons, especially to the deep relationship between such mechanics and black hole physics.


1997 ◽  
Vol 55 (6) ◽  
pp. 3603-3613 ◽  
Author(s):  
R. Parentani ◽  
S. Massar

2021 ◽  
pp. 301-316
Author(s):  
Andrew M. Steane

The chapter presents the Penrose process, Hawking radiation, entropy and the laws of black hole thermodynamics. The Penrose process is derived and the area theorem is stated. A heuristic argument for the Hawking effect is given, emphasising a correct grasp of the concepts and the nature of the result. The Hawking effect and the Unruh effect are further discussed and linked together in a precise calculation. Evaporation of black holes is described. The information paradox is presented.


Nature ◽  
2008 ◽  
Author(s):  
Geoff Brumfiel
Keyword(s):  

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