Virtual transitions in an atom-mirror system in the presence of two scalar photons

Abstract

We examine the virtual transition of an atom-mirror system with the simultaneous emission of two scalar photons, where the atom and the mirror admit a relative acceleration between them. For the single photon emission, literature (Phys. Rev. Lett. 121 (2018) 071301) dictates that the transition probabilities of two individual systems, such as an atom accelerating with respect to the mirror and its reverse, turn out to be equivalent under the exchange of the frequencies of atom and the field. Addressing the observational merit of such excitation process, a detectable probability ($P\sim 10^{-2}$) is also reported in the above literature. In the present manuscript our finding dictates that the simultaneous emission of dual photon instead of one, destroys the equivalence between the transition probabilities as reported in the above literature.

9 pages, 3 figures

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• Derivative coupling in horizon brightened acceleration radiation: a quantum optics approach
• Near horizon approximation and beyond for a two-level atom falling into a Kerr-Newman black hole
• Acceleration Radiation of Freely Falling Atoms: Nonlinear Electrodynamic Effects
• Equivalence in virtual transitions between uniformly accelerated and static atoms: from a bird's eye
• Quasinormal Mode Spectroscopy via Horizon-Brightened Quantum Optics
• Acceleration radiation from vibrating atoms in Schwarzschild spacetime