Many-body probes for quantum features of spacetime
File(s)
Published version
Author(s)
Chevalier, Hadrien
Kwon, Hyukjoon
Khosla, Kiran E
Pikovski, Igor
Kim, MS
Type
Journal Article
Abstract
Many theories of quantum gravity can be understood as imposing a minimum length scale the signatures of which can potentially be seen in precise table top experiments. In this work, we inspect the capacity for correlated many-body systems to probe non-classicalities of spacetime through modifications of the commutation relations. We find an analytic derivation of the dynamics for a single mode light field interacting with a single mechanical oscillator and with coupled oscillators to first order corrections to the commutation relations. Our solution is valid for any coupling function as we work out the full Magnus expansion. We numerically show that it is possible to have superquadratic scaling of a nonstandard phase term, arising from the modification to the commutation relations, with coupled mechanical oscillators.
Date Issued
2022-06
Date Acceptance
2022-03-14
Citation
AVS Quantum Science, 2022, 4 (2), pp.1-10
ISSN
2639-0213
Publisher
American Institute of Physics
Start Page
1
End Page
10
Journal / Book Title
AVS Quantum Science
Volume
4
Issue
2
Copyright Statement
© 2022 Author(s). All article content, except where otherwise noted, is licensed under a Creative Commons Attribution (CC BY) license (http://creativecommons.org/licenses/by/4.0/).
License URL
Identifier
https://avs.scitation.org/doi/10.1116/5.0079675
Subjects
quant-ph
quant-ph
Publication Status
Published
Date Publish Online
2022-04-06