Probing deformed commutators with micro- and nano-oscillators

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Probing deformed commutators with micro- and nano-oscillators

Conference Paper (2018)

Author(s)

Mateusz Bawaj (University of Camerino, Sezione di Perugia)

Ciro Biancofiore (Sezione di Perugia, University of Camerino)

Michele Bonaldi (Fondazione Bruno Kessler)

Federica Bonfigli (University of Camerino, Sezione di Perugia)

Antonio Borrielli (Fondazione Bruno Kessler)

Giovanni Di Giuseppe (University of Camerino, Sezione di Perugia)

Lorenzo Marconi (University of Florence)

Francesco Marino (Sezione di Firenze)

Enrico Serra (TU Delft - Electrical Engineering, Mathematics and Computer Science, Università degli Studi di Trento, Fondazione Bruno Kessler, Trento Institute for Fundamental Physics and Applications)

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Research Group

Tera-Hertz Sensing

Mechanical oscillator Modified uncertainty relations Planck scale

DOI related publication

https://doi.org/10.1142/9789813226609_0464 Final published version

To reference this document use

https://resolver.tudelft.nl/uuid:c5c490ea-2d9c-46e9-beca-d592bdf21ff0

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Publication Year

2018

Language

English

Research Group

Tera-Hertz Sensing

Bibliographical Note

Green Open Access added to TU Delft Institutional Repository ‘You share, we take care!’ – Taverne project https://www.openaccess.nl/en/you-share-we-take-care Otherwise as indicated in the copyright section: the publisher is the copyright holder of this work and the author uses the Dutch legislation to make this work public.

Pages (from-to)

3576-3581

Publisher

World Scientific Publishing

ISBN (electronic)

9789813226593

Event

14th Marcel Grossman Meeting On Recent Developments in Theoretical and Experimental General Relativity, Astrophysics and Relativistic Field Theories (2015-07-12 - 2015-07-18), Rome, Italy

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283

Abstract

A minimal observable length is a common feature of theories that aim to merge quantum physics and gravity. Quantum mechanically, this concept is associated to a minimal uncertainty in position measurements, which is encoded in deformed commutation relations. Once applied in the Heisenberg dynamics, they give effects potentially detectable in low energy experiments. For instance, an isolated harmonic oscillator becomes intrinsically nonlinear and its dynamics shows a dependence of the oscillation frequency on the amplitude, as well as the appearance of higher harmonics. Here we analyze the free decay of micro and nano-oscillators, spanning a wide range of masses, and we place upper limits to the parameters quantifying the commutator deformation.