Many-body probes for quantum features of spacetime
- URL: http://arxiv.org/abs/2111.12006v1
- Date: Tue, 23 Nov 2021 17:14:30 GMT
- Title: Many-body probes for quantum features of spacetime
- Authors: Hadrien Chevalier, Hyukjoon Kwon, Kiran E. Khosla, Igor Pikovski and
M. S. Kim
- Abstract summary: 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 numerically show that it is possible to have superquadratic scaling of a non-classical phase term, arising from the modification to the commutation relations.
- Score: 3.9198548406564604
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- 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 non-classical phase term, arising from the
modification to the commutation relations, with coupled mechanical oscillators.
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