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.

Probing deformed commutators with micro- and nano-oscillators

Giovanni Di Giuseppe;Riccardo Natali;David Vitali;
2017-01-01

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.
2017
978-981-3226-59-3
273
File in questo prodotto:
File Dimensione Formato  
MG14-9789813226609_0464.pdf

accesso aperto

Descrizione: paper
Tipologia: Versione Editoriale
Licenza: PUBBLICO - Creative Commons
Dimensione 469.42 kB
Formato Adobe PDF
469.42 kB Adobe PDF Visualizza/Apri
fmatter-contents Part D.pdf

accesso aperto

Tipologia: Altro materiale allegato
Licenza: PUBBLICO - Creative Commons
Dimensione 640.51 kB
Formato Adobe PDF
640.51 kB Adobe PDF Visualizza/Apri

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11581/411077
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 0
  • ???jsp.display-item.citation.isi??? ND
social impact