Distinguishing de Sitter universe from thermal Minkowski spacetime by Casimir-Polder-like force

Abstract

We demonstrate that the static ground state atom, which interacts with a conformally coupled massless scalar field in the de Sitter invariant vacuum, can obtain a position-dependent energy-level shift and this shift could cause a Casimir-Polder-like force on it. Interestingly no such force arises on the inertial atom bathed in a thermal radiation in the Minkowski universe. Thus, although the energy-level shifts of the static atom for these two cases are structurally the same, whether the energy-level shift causes the Casimir-Polder-like force, in principle, could be as an indicator to distinguish de Sitter universe from the thermal Minkowski spacetime.

arXiv comment11 pages

References in corpus (7)

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• Radiative energy shifts of accelerated atoms
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• Remarks on distinguishability of Schwarzschild spacetime and thermal Minkowski spacetime using Resonance Casimir-Polder interaction
• How the mass of a scalar field influences Resonance Casimir-Polder interaction in Schwarzschild spacetime
• System-environment dynamics of GHZ-like states in noninertial frames
• Retarded resonance Casimir-Polder interaction of a uniformly rotating two-atom system
• Harvesting entanglement from the Lorentz-violating quantum field vacuum in a dipolar Bose-Einstein condensate