Quantum interference in external gravitational fields beyond General Relativity
arXiv:2104.11154 · doi:10.1140/epjc/s10052-021-09740-2
Abstract
In this paper, we study the phenomenon of quantum interference in the presence of external gravitational fields described by alternative theories of gravity. We analyze both non-relativistic and relativistic effects induced by the underlying curved background on a superposed quantum system. In the non-relativistic regime, it is possible to come across a gravitational counterpart of the Bohm-Aharonov effect, which results in a phase shift proportional to the derivative of the modified Newtonian potential. On the other hand, beyond the Newtonian approximation, the relativistic nature of gravity plays a crucial rôle. Indeed, the existence of a gravitational time dilation between the two arms of the interferometer causes a loss of coherence that is in principle observable in quantum interference patterns. We work in the context of generalized quadratic theories of gravity to compare their physical predictions with the analogous outcomes in general relativity. In so doing, we show that the decoherence rate strongly depends on the gravitational model under investigation, which means that this approach turns out to be a promising test bench to probe and discriminate among all the extensions of Einstein's theory in future experiments.
arXiv comment14 pages, 5 figures. V2: typos corrected, some discussion expanded, references added
References in corpus (51)
- The Confrontation between General Relativity and Experiment
- Tests of the Gravitational Inverse-Square Law below the Dark-Energy Length Scale
- A Spin Entanglement Witness for Quantum Gravity
- Gravitationally-induced entanglement between two massive particles is sufficient evidence of quantum effects in gravity
- Towards singularity and ghost free theories of gravity
- Super-renormalizable Quantum Gravity
- Quantum wave packet revivals
- Bouncing Universes in String-inspired Gravity
- Noncommutative Gravitational Quantum Well
- Universal decoherence due to gravitational time dilation
- Quantum interferometric visibility as a witness of general relativistic proper time
- Measurement of quantum states of neutrons in the Earth's gravitational field
- Quantum Superposition of Massive Objects and the Quantization of Gravity
- Some remarks on high derivative quantum gravity
- The Schrödinger-Newton equation and its foundations
- General Relativistic Effects in Atom Interferometry
- Study of the neutron quantum states in the gravity field
- Locality & Entanglement in Table-Top Testing of the Quantum Nature of Linearized Gravity
- The effects of minimal length and maximal momentum on the transition rate of ultra cold neutrons in gravitational field
- Generalized ghost-free quadratic curvature gravity
- Mass-gap for black hole formation in higher derivative and ghost free gravity
- Classical properties of non-local, ghost- and singularity-free gravity
- On the quantum field theory of the gravitational interactions
- Behavior of the Newtonian potential for ghost-free gravity and singularity-free gravity
- Consistent Higher Derivative Gravitational theories with stable de Sitter and Anti-de Sitter Backgrounds
- A self-interfering clock as a "which path" witness
- The gravitational field of static p-branes in linearized ghost-free gravity
- Conformally-flat, non-singular static metric in infinite derivative gravity
- inflation to probe non-perturbative quantum gravity
- Quantum motion of a neutron in a wave-guide in the gravitational field
- Probing Models of Extended Gravity using Gravity Probe B and LARES experiments
- Gravitation and quantum interference experiments with neutrons
- Towards nonsingular rotating compact object in ghost-free infinite derivative gravity
- Non-singular metric for an electrically charged point-source in ghost-free infinite derivative gravity
- Neutrino oscillations in extended theories of gravity
- Interference of Clocks: A Quantum Twin Paradox
- Astrophysical constraints on extended gravity models
- Non-Gaussianities and tensor-to-scalar ratio in non-local -like inflation
- Atom Interferometers and the Gravitational Redshift
- Casimir effect in quadratic theories of gravity
- Casimir effect in Post-Newtonian Gravity with Lorentz-violation
- Constraints on NonCommutative Spectral Action from Gravity Probe B and Torsion Balance Experiments
- Atom-interferometric test of the universality of gravitational redshift and free fall
- Casimir effect in Extended Theories of Gravity
- Impulsive waves in ghost free infinite derivative gravity in anti-de Sitter spacetime
- NUT charge in linearized infinite derivative gravity
- Light bending by a slowly rotating source in quadratic theories of gravity
- Quantum nonlocality in extended theories of gravity
- Quantum solitonic wave-packet of a meso-scopic system in singularity free gravity
- Testing fundamental physics with photon frequency shift
- Quantum spreading of a self-gravitating wave-packet in singularity free gravity