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Technologies 2017, 5(2), 17; doi:10.3390/technologies5020017

Accelerated Detector Response Function in Squeezed Vacuum

Department of Physics and Astronomy, College of Science, King Saud University, Riyadh 11451, Saudi Arabia
Academic Editors: Ahmed Farag Ali and Manoj Gupta
Received: 18 February 2017 / Revised: 12 April 2017 / Accepted: 19 April 2017 / Published: 20 April 2017
(This article belongs to the Special Issue Quantum Gravity Phenomenology and Experimental Implications)
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Abstract

Casimir/squeezed vacuum breaks Lorentz symmetry, by allowing light to propagate faster than c. We looked at the possible transformation symmetry group such vacuum could obey. By solving the semi-classical Einstein field equation in squeezed vacuum, we have found that the background geometry describes an Anti-deSitter (AdS) geometry. Therefore, the proper transformation symmetry group is the (A)dS group. One can describe quantum field theory in a finite volume as a quantum field theory (QFT) on AdS background, or vice versa. In particular, one might think of QFT vacuum on AdS as a QFT that posses a squeezed vacuum with boundary conditions proportional to R A d S 2 . Applying this correspondence to an accelerating detector-scalar field system, we notice at low acceleration the system is at equilibrium at ground state, however if the detector’s acceleration (a) is greater than a critical acceleration, the system experience a phase transition similar to Hawking-Page Phase transition at the detector gets excited, with equivalent temperature Θ = a 2 - R A d S 2 2 π . View Full-Text
Keywords: quantum field theory in curved spacetime; anti-deSitter spacetime; Unruh effect; Hawking Effect; first-order phase transition quantum field theory in curved spacetime; anti-deSitter spacetime; Unruh effect; Hawking Effect; first-order phase transition
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Alsaleh, S. Accelerated Detector Response Function in Squeezed Vacuum. Technologies 2017, 5, 17.

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