Abstract

A new signature of quantum gravity, connected to a concept used in the area of quantum computation, may enable a table-top test of quantum gravity using just a single quantum system and without assumptions on locality.

Highlights

  • After Einstein formulated general relativity (GR), he wondered how quantum theory (QT) would modify it [1]

  • In comparison with previous studies testing quantum gravity (QG) with quantum information science (QIS) where entanglement is used to witness QG when all other quantum interactions are excluded, our non-Gaussianity witness cannot be created by direct classical gravity interactions, facilitating tests that are not constrained by the existence of such processes

  • We describe a tabletop test of QG that uses our non-Gaussianity signature and that is based on just a single quantum system, a Bose-Einstein condensate, in a single location

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Summary

INTRODUCTION

After Einstein formulated general relativity (GR), he wondered how quantum theory (QT) would modify it [1]. It is in theory possible that CG could cause two spatially separated quantum matter systems to directly couple with one another, invalidating the LOCC and classical-information mediator arguments and leading to entanglement generation in experiments [27,28,29,30]. In BECs, this is immediately apparent since the atoms have zero overall electromagnetic charge, resulting in them naturally interacting only through van der Waals interactions and, in most cases, magnetic dipole-dipole interactions (MDDIs) at very low temperatures This allows the use of an extraordinary property of BEC and cold atom experiments to distinguish the electromagnetic and gravitational effects. Both the electromagnetic interactions and the gravitational interactions are suppressed by increasing the distance, whereas applying an external magnetic or optical field to a BEC affects only the former

NON-GAUSSIANITY AS A SIGNATURE OF QUANTUM GRAVITY
TESTING QUANTUM GRAVITY WITH A SINGLE QUANTUM SYSTEM
Measurement scheme
Distinguishing quantum gravity from the electromagnetic interaction
Role of Planck mass in the proposed experiment
Nonquantum interactions and continuous-time measurements
Alternative theories of gravity
Non-Gaussianity in cosmology
Applicability
SUMMARY
Weak-field limit
Newtonian limit
Quantum and classical gravity in a single BEC
Creating the nonclassical initial states
Measuring non-Gaussianity
Nonperturbative approach
Including the reverse process
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