Probing deformed commutators with macroscopic harmonic oscillators

Mateusz Bawaj, Ciro Biancofiore, Michele Bonaldi, Federica Bonfigli, Antonio Borrielli, Giovanni Di Giuseppe, Lorenzo Marconi, Francesco Marino, Riccardo Natali, Antonio Pontin, Giovanni A. Prodi, Enrico Serra, David Vitali and Francesco Marin ()
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Mateusz Bawaj: School of Science and Technology, University of Camerino, via Madonna delle Carceri 9
Ciro Biancofiore: School of Science and Technology, University of Camerino, via Madonna delle Carceri 9
Michele Bonaldi: Institute of Materials for Electronics and Magnetism
Federica Bonfigli: School of Science and Technology, University of Camerino, via Madonna delle Carceri 9
Antonio Borrielli: Institute of Materials for Electronics and Magnetism
Giovanni Di Giuseppe: School of Science and Technology, University of Camerino, via Madonna delle Carceri 9
Lorenzo Marconi: Università di Firenze, Via Sansone 1
Francesco Marino: INFN, Sezione di Firenze
Riccardo Natali: School of Science and Technology, University of Camerino, via Madonna delle Carceri 9
Antonio Pontin: Università di Firenze, Via Sansone 1
Giovanni A. Prodi: Istituto Nazionale di Fisica Nucleare (INFN), Trento Institute for Fundamental Physics and Application
Enrico Serra: Istituto Nazionale di Fisica Nucleare (INFN), Trento Institute for Fundamental Physics and Application
David Vitali: School of Science and Technology, University of Camerino, via Madonna delle Carceri 9
Francesco Marin: Università di Firenze, Via Sansone 1

Nature Communications, 2015, vol. 6, issue 1, 1-7

Abstract: 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 with a nonzero minimal uncertainty in position measurements, which is encoded in deformed commutation relations. In spite of increasing theoretical interest, the subject suffers from the complete lack of dedicated experiments and bounds to the deformation parameters have just been extrapolated from indirect measurements. As recently proposed, low-energy mechanical oscillators could allow to reveal the effect of a modified commutator. Here we analyze the free evolution of high-quality factor micro- and nano-oscillators, spanning a wide range of masses around the Planck mass mP (≈22 μg). The direct check against a model of deformed dynamics substantially lowers the previous limits on the parameters quantifying the commutator deformation.

Date: 2015
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DOI: 10.1038/ncomms8503

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