Probing Modified Gravity with Entanglement of Microspheres
arXiv:2306.14938 · doi:10.1103/PhysRevD.109.L101501
Abstract
While a wide variety of astrophysical and cosmological phenomena suggest the presence of Dark Matter, all evidence remains via its gravitational effect on the known matter. As such, it is conceivable that this evidence could be explained by a modification to gravitation and/or concepts of inertia. Various formulations of modified gravity exist, each giving rise to several non-canonical outcomes. This motivates us to propose an experiment searching for departures from (quantum) Newtonian predictions in a bipartite setting with gravitational accelerations m/s, i.e., where the effective force needs to be stronger than Newtonian to account for the Dark Matter effects. Since quantum particles naturally source weak gravitation, their non-relativistic dynamics offers opportunities to test this small acceleration regime. We show that two nearby mesoscopic quantum masses accumulate significantly larger entanglement in modified gravity models, such as the Modified Newtonian Dynamics. Our calculations include Casimir-Polder forces as well as tidal effects next to the surface of the earth, and confirm that entanglement is observable within the limits imposed by environmental decoherence. We demonstrate how the temperature can be fine-tuned such that modified gravity is certified simply by witnessing the entanglement generated from uncorrelated thermal states, eliminating the need for precise noise characterization. Overall, the required parameters could be realized in a tabletop experiment.
Accepted for publication as a Letter in Physical Review D
References in corpus (28)
- Cavity Optomechanics
- A computable measure of entanglement
- Peres-Horodecki separability criterion for continuous variable systems
- Relativistic gravitation theory for the MOND paradigm
- A History of Dark Matter
- A Spin Entanglement Witness for Quantum Gravity
- Gravitationally-induced entanglement between two massive particles is sufficient evidence of quantum effects in gravity
- Extremal entanglement and mixedness in continuous variable systems
- Motional Quantum Ground State of a Levitated Nanoparticle from Room Temperature
- Casimir forces between arbitrary compact objects
- Modified Newtonian Dynamics in the Milky Way
- Quasi-linear formulation of MOND
- Dynamics with a non-standard inertia-acceleration relation: an alternative to dark matter
- Gaussian measures of entanglement versus negativities: the ordering of two-mode Gaussian states
- A new relativistic theory for Modified Newtonian Dynamics
- Observable quantum entanglement due to gravity
- THINGS about MOND
- MOND habitats within the solar system
- Decoherence effects in non-classicality tests of gravity
- Signatures of the quantum nature of gravity in the differential motion of two masses
- The case for testing MOND using LISA Pathfinder
- Modified Kepler's Law, Escape Speed and Two-body Problem in MOND-like Theories
- General virial theorem for modified-gravity MOND
- Tripotential MOND theories
- Generalizations of Quasilinear MOND (QUMOND)
- Quantum neuromorphic approach to efficient sensing of gravity-induced entanglement
- Satellite Test of the Equivalence Principle as a Probe of Modified Newtonian Dynamics
- Continuous-Variable Entanglement through Central Forces: Application to Gravity between Quantum Masses