Accelerated Detector Response Function in Squeezed Vacuum

Journal Article

Alsaleh, Salwa . 2017

• رابط المنشور على الويب: http://www.mdpi.com/2227-7080/5/2/17/
• المجلة \ الصحيفة: Technologies

مستخلص المنشور

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_{AdS}^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 $\Theta = \frac{\sqrt{a^2 - R_{AdS}'^2}}{2 \pi}
$.