Testing Quantum Gravity Induced Nonlocality via Optomechanical Quantum Oscillators

Belenchia, Alessio; Benincasa, Dionigi M. T.; Liberati, Stefano; Marín, F.; Marino, Francesco; Ortolan, A.

doi:10.1103/physrevlett.116.161303

Cited by 65 publications

(88 citation statements)

References 34 publications

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“…Data from yet other physical systems or processes can provide a cross-check of the above bounds. In particular, one could study the multiscale version of massive quantum oscillators and use those observations to get independent constraints, especially because table-top high-precision experiments already under construction will be able to improve such bounds by several orders of magnitude [73]. We also foresee a number of cosmological applications, some of which have already been worked out [43] or will appear soon [55].…”

Section: Discussionmentioning

confidence: 99%

Standard Model in multiscale theories and observational constraints

2016

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We construct and analyze the Standard Model of electroweak and strong interactions in multiscale spacetimes with (i) weighted derivatives and (ii) q-derivatives. Both theories can be formulated in two different frames, called fractional and integer picture. By definition, the fractional picture is where physical predictions should be made. (i) In the theory with weighted derivatives, it is shown that gauge invariance and the requirement of having constant masses in all reference frames make the Standard Model in the integer picture indistinguishable from the ordinary one. Experiments involving only weak and strong forces are insensitive to a change of spacetime dimensionality also in the fractional picture, and only the electromagnetic and gravitational sectors can break the degeneracy. For the simplest multiscale measures with only one characteristic time, length and energy scale t Ã , l Ã and E Ã , we compute the Lamb shift in the hydrogen atom and constrain the multiscale correction to the ordinary result, getting the absolute upper bound t Ã < 10 −23 s. For the natural choice α 0 ¼ 1=2 of the fractional exponent in the measure, this bound is strengthened to t Ã < 10 −29 s, corresponding to l Ã < 10 −20 m and E Ã > 28 TeV. Stronger bounds are obtained from the measurement of the fine-structure constant.(ii) In the theory with q-derivatives, considering the muon decay rate and the Lamb shift in light atoms, we obtain the independent absolute upper bounds t Ã < 10 −13 s and E Ã > 35 MeV. For α 0 ¼ 1=2, the Lamb shift alone yields t Ã < 10

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Section: Discussionmentioning

confidence: 99%

Standard Model in multiscale theories and observational constraints

2016

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“…There have been some very interesting recent ideas by Belenchia et al (2016b) for testing CST type non-locality via its effect on propagation in the continuum using the d'Alembertian operator. Belenchia et al (2015) have looked at the associated quantum field theory which contain critical instabilities.…”

Section: Phenomenologymentioning

confidence: 99%

The causal set approach to quantum gravity

2019

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The causal set theory (CST) approach to quantum gravity postulates that at the most fundamental level, spacetime is discrete, with the spacetime continuum replaced by locally finite posets or "causal sets". The partial order on a causal set represents a proto-causality relation while local finiteness encodes an intrinsic discreteness. In the continuum approximation the former corresponds to the spacetime causality relation and the latter to a fundamental spacetime atomicity, so that finite volume regions in the continuum contain only a finite number of causal set elements. CST is deeply rooted in the Lorentzian character of spacetime, where a primary role is played by the causal structure poset. Importantly, the assumption of a fundamental discreteness in CST does not violate local Lorentz invariance in the continuum approximation. On the other hand, the combination of discreteness and Lorentz invariance gives rise to a characteristic non-locality which distinguishes CST from most other approaches to quantum gravity.In this review we give a broad, semi-pedagogical introduction to CST, highlighting key results as well as some of the key open questions. This review is intended both for the beginner student in quantum gravity as well as more seasoned researchers in the field.

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“…Albeit promising, the analysis of [5,22] was based on solving the Schrödinger equation perturbatively by choosing ad hoc initial conditions, an ansatz for the form of the solutions, and it did not contain the interaction with external degrees of freedom, limiting de facto the type of experimental protocols that can be used.…”

Section: Introductionmentioning

confidence: 99%

“…A step forward with respect to these limitations is taken in the present work, in which we shall derive the Hamiltonian formulation of the non-local harmonic oscillator model investigated in [5,22]. Obtaining the Hamiltonian will allow us to perform a new perturbative study of the solutions of the non-local oscillator by way of standard time-dependent and time-independent perturbation theory.…”

Section: Introductionmentioning

confidence: 99%

Tests of quantum gravity-induced non-locality: Hamiltonian formulation of a non-local harmonic oscillator

Belenchia

Benincasa

Marín

et al. 2019

Class. Quantum Grav.

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Motivated by the development of on-going optomechanical experiments aimed at constraining non-local effects inspired by some quantum gravity scenarios, the Hamiltonian formulation of a non-local harmonic oscillator, and its coupling to a cavity field mode(s), is investigated. In particular, we consider the previously studied model of non-local oscillators obtained as the non-relativistic limit of a class of non-local Klein-Gordon operators, f ( ), with f an analytical function. The results of previous works, in which the interaction was not included, are recovered and extended by way of standard perturbation theory. At the same time, the perturbed energy spectrum becomes available in this formulation, and we obtain the Langevin's equations characterizing the interacting system. arXiv:1901.05819v2 [gr-qc]

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Testing Quantum Gravity Induced Nonlocality via Optomechanical Quantum Oscillators

Cited by 65 publications

References 34 publications

Standard Model in multiscale theories and observational constraints

Standard Model in multiscale theories and observational constraints

The causal set approach to quantum gravity

Tests of quantum gravity-induced non-locality: Hamiltonian formulation of a non-local harmonic oscillator

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