Gravitationally induced decoherence vs space-time diffusion: testing the
quantum nature of gravity
- URL: http://arxiv.org/abs/2203.01982v1
- Date: Thu, 3 Mar 2022 19:52:11 GMT
- Title: Gravitationally induced decoherence vs space-time diffusion: testing the
quantum nature of gravity
- Authors: Jonathan Oppenheim and Carlo Sparaciari and Barbara \v{S}oda and
Zachary Weller-Davies
- Abstract summary: We consider two interacting systems when one is treated classically while the other system remains quantum.
We prove that such hybrid dynamics necessarily results in decoherence of the quantum system, and a breakdown in predictability in the classical phase space.
Applying the trade-off relation to gravity, we find a relationship between the strength of gravitationally-induced decoherence versus diffusion of the metric and its conjugate momenta.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: We consider two interacting systems when one is treated classically while the
other system remains quantum. Consistent dynamics of this coupling has been
shown to exist, and explored in the context of treating space-time classically.
Here, we prove that such hybrid dynamics necessarily results in decoherence of
the quantum system, and a breakdown in predictability in the classical phase
space. We further prove that a trade-off between the rate of this decoherence
and the degree of diffusion induced in the classical system is a general
feature of all classical quantum dynamics; long coherence times require strong
diffusion in phase-space relative to the strength of the coupling. Applying the
trade-off relation to gravity, we find a relationship between the strength of
gravitationally-induced decoherence versus diffusion of the metric and its
conjugate momenta. This provides an experimental signature of theories in which
gravity is fundamentally classical. Bounds on decoherence rates arising from
current interferometry experiments, combined with precision measurements of
mass, place significant restrictions on theories where Einstein's classical
theory of gravity interacts with quantum matter. We find that part of the
parameter space of such theories are already squeezed out, and provide figures
of merit which can be used in future mass measurements and interference
experiments.
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