Violation of equivalence in an accelerating atom-mirror system in the
generalized uncertainty principle framework
- URL: http://arxiv.org/abs/2104.10531v2
- Date: Thu, 4 Nov 2021 17:37:23 GMT
- Title: Violation of equivalence in an accelerating atom-mirror system in the
generalized uncertainty principle framework
- Authors: Riddhi Chatterjee, Sunandan Gangopadhyay and A. S. Majumdar
- Abstract summary: We study the spontaneous excitation of a two-level atom in the presence of a perfectly reflecting mirror, when the atom, or the mirror, is uniformly accelerating in the framework of the generalised uncertainty principle (GUP)
We show that in the case when the mirror is accelerating, the GUP modulates the spatial oscillation of the excitation probability of the atom, thus breaking the symmetry between the excitation of an atom accelerating relative to a stationary mirror, and a stationary atom excited by an accelerating mirror.
- Score: 0.32771631221674324
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: We study the spontaneous excitation of a two-level atom in the presence of a
perfectly reflecting mirror, when the atom, or the mirror, is uniformly
accelerating in the framework of the generalised uncertainty principle (GUP).
The quantized scalar field obeys a modified dispersion relation leading to a
GUP deformed Klein-Gordon equation. The solutions of this equation with
suitable boundary conditions are obtained to calculate the spontaneous
excitation probability of the atom for the two separate cases. We show that in
the case when the mirror is accelerating, the GUP modulates the spatial
oscillation of the excitation probability of the atom, thus breaking the
symmetry between the excitation of an atom accelerating relative to a
stationary mirror, and a stationary atom excited by an accelerating mirror. An
explicit violation of the equivalence principle seems to be thus manifested. We
further obtain an upper bound on the GUP parameter using standard values of the
system parameters.
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