Violation of equivalence in an accelerating atom-mirror system in the generalized uncertainty principle framework

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.

References in corpus (47)

• Hilbert Space Representation of the Minimal Length Uncertainty Relation
• A Generalized Uncertainty Principle in Quantum Gravity
• The Unruh effect and its applications
• Observation of the Dynamical Casimir Effect in a Superconducting Circuit
• Gravity with a dynamical preferred frame
• The Generalized Uncertainty Principle and Black Hole Remnants
• Discreteness of Space from the Generalized Uncertainty Principle
• Probing Planck-scale physics with quantum optics
• The algebraic structure of the generalized uncertainty principle
• Quantum Groups, Gravity, and the Generalized Uncertainty Principle
• A proposal for testing Quantum Gravity in the lab
• Dynamical Casimir effect in a Josephson metamaterial
• The dynamical Casimir effect in a superconducting coplanar waveguide
• Hybrid quantum devices and quantum engineering
• Black Hole Thermodynamics
• Spontaneous excitation of an accelerated atom: The contributions of vacuum fluctuations and radiation reaction
• Probing deformed commutators with macroscopic harmonic oscillators
• Corrections to the thermodynamics of Schwarzschild-Tangherlini black hole and the generalized uncertainty principle
• Quantum corrections to the thermodynamics of Schwarzschild-Tangherlini black hole and the generalized uncertainty principle
• Testing the equivalence principle through freely falling quantum objects
• Constraining the generalized uncertainty principle with the gravitational wave event GW150914
• Exercices de style: a homotopy theory for set theory, I
• Hawking radiation, Unruh radiation and the equivalence principle
• Generalized uncertainty principle and black hole thermodynamics
• Radiation from Atoms Falling into a Black Hole
• Generally covariant model of a scalar field with high frequency dispersion and the cosmological horizon problem
• Constraints on the Generalized Uncertainty Principle from Black Hole Thermodynamics
• Potential tests of the Generalized Uncertainty Principle in the advanced LIGO experiment
• Spontaneous excitation of an accelerated atom in a spacetime with a reflecting plane boundary
• Unruh-deWitt detectors in quantum superpositions of trajectories
• Non-thermal effects of acceleration in the resonance interaction between two uniformly accelerated atoms
• Amplified transduction of Planck-scale effects using quantum optics
• Loop Quantum Gravity
• Unruh Acceleration Radiation Revisited
• The Equivalence Principle at Work in Radiation from Unaccelerated Atoms and Mirrors
• On the quantum analogue of Galileo's leaning tower experiment
• Remnant mass and entropy of black holes and modified uncertainty principle
• Testing Generalised Uncertainty Principles through Quantum Noise
• Unruh Effect of Detectors with Quantized Center-of-Mass
• Generalized uncertainty principle in resonant detectors of gravitational waves
• Resonance dipole-dipole interaction between two accelerated atoms in the presence of a reflecting plane boundary
• Strong quantum violation of the gravitational weak equivalence principle by a non-Gaussian wave-packet
• Quantum Circuit Model for a Uniformly Accelerated Mirror
• Resonance interaction of two entangled atoms accelerating between two mirrors
• Uniformly accelerated quantum counting detector in Minkowski and Fulling vacuum states
• Effect of quantum statistics on the gravitational weak equivalence principle
• Photon velocity, power spectrum in Unruh effect with modified dispersion relation

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• Virtual transitions in an atom-mirror system in the presence of two scalar photons
• Bell's inequality violation by dynamical Casimir photons in a superconducting microwave circuit