Probing deformed commutators with micro- and nano-oscillators

Mateusz Bawaj; Ciro Biancofiore; Michele Bonaldi; Federica Bonfigli; Antonio Borrielli; Giovanni Di Giuseppe; Lorenzo Marconi; Francesco Marino; Enrico Serra; null More Authors

doi:10.1142/9789813226609_0464

Probing deformed commutators with micro- and nano-oscillators

Mateusz Bawaj, Ciro Biancofiore, Michele Bonaldi, Federica Bonfigli, Antonio Borrielli, Giovanni Di Giuseppe, Lorenzo Marconi, Francesco Marino, Enrico Serra, More Authors

Tera-Hertz Sensing

Research output: Chapter in Book/Conference proceedings/Edited volume › Conference contribution › Scientific › peer-review

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.

Original language	English
Title of host publication	14th Marcel Grossman Meeting On Recent Developments in Theoretical and Experimental General Relativity, Astrophysics and Relativistic Field Theories, Proceedings
Editors	Massimo Bianchi, Robert T Jantzen, Remo Ruffini, Remo Ruffini
Publisher	World Scientific Publishing
Pages	3576-3581
Number of pages	6
ISBN (Electronic)	9789813226593
DOIs	https://doi.org/10.1142/9789813226609_0464
Publication status	Published - 2018
Event	14th Marcel Grossman Meeting On Recent Developments in Theoretical and Experimental General Relativity, Astrophysics and Relativistic Field Theories - Rome, Italy Duration: 12 Jul 2015 → 18 Jul 2015

Publication series

Name	14th Marcel Grossman Meeting On Recent Developments in Theoretical and Experimental General Relativity, Astrophysics and Relativistic Field Theories, Proceedings

Conference

Conference	14th Marcel Grossman Meeting On Recent Developments in Theoretical and Experimental General Relativity, Astrophysics and Relativistic Field Theories
Country/Territory	Italy
City	Rome
Period	12/07/15 → 18/07/15

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.

Keywords

Mechanical oscillator
Modified uncertainty relations
Planck scale

Access to Document

10.1142/9789813226609_0464

bawaj-et-al-2017-probing-deformed-commutators-with-micro-and-nano-oscillatorsFinal published version, 506 KB

Cite this

Bawaj, M., Biancofiore, C., Bonaldi, M., Bonfigli, F., Borrielli, A., Giuseppe, G. D., Marconi, L., Marino, F., Serra, E., & More Authors (2018). Probing deformed commutators with micro- and nano-oscillators. In M. Bianchi, R. T. Jantzen, R. Ruffini, & R. Ruffini (Eds.), 14th Marcel Grossman Meeting On Recent Developments in Theoretical and Experimental General Relativity, Astrophysics and Relativistic Field Theories, Proceedings (pp. 3576-3581). (14th Marcel Grossman Meeting On Recent Developments in Theoretical and Experimental General Relativity, Astrophysics and Relativistic Field Theories, Proceedings). World Scientific Publishing. https://doi.org/10.1142/9789813226609_0464

Bawaj, Mateusz ; Biancofiore, Ciro ; Bonaldi, Michele et al. / Probing deformed commutators with micro- and nano-oscillators. 14th Marcel Grossman Meeting On Recent Developments in Theoretical and Experimental General Relativity, Astrophysics and Relativistic Field Theories, Proceedings. editor / Massimo Bianchi ; Robert T Jantzen ; Remo Ruffini ; Remo Ruffini. World Scientific Publishing, 2018. pp. 3576-3581 (14th Marcel Grossman Meeting On Recent Developments in Theoretical and Experimental General Relativity, Astrophysics and Relativistic Field Theories, Proceedings).

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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.",

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Bawaj, M, Biancofiore, C, Bonaldi, M, Bonfigli, F, Borrielli, A, Giuseppe, GD, Marconi, L, Marino, F, Serra, E & More Authors 2018, Probing deformed commutators with micro- and nano-oscillators. in M Bianchi, RT Jantzen, R Ruffini & R Ruffini (eds), 14th Marcel Grossman Meeting On Recent Developments in Theoretical and Experimental General Relativity, Astrophysics and Relativistic Field Theories, Proceedings. 14th Marcel Grossman Meeting On Recent Developments in Theoretical and Experimental General Relativity, Astrophysics and Relativistic Field Theories, Proceedings, World Scientific Publishing, pp. 3576-3581, 14th Marcel Grossman Meeting On Recent Developments in Theoretical and Experimental General Relativity, Astrophysics and Relativistic Field Theories, Rome, Italy, 12/07/15. https://doi.org/10.1142/9789813226609_0464

Probing deformed commutators with micro- and nano-oscillators. / Bawaj, Mateusz; Biancofiore, Ciro; Bonaldi, Michele et al.
14th Marcel Grossman Meeting On Recent Developments in Theoretical and Experimental General Relativity, Astrophysics and Relativistic Field Theories, Proceedings. ed. / Massimo Bianchi; Robert T Jantzen; Remo Ruffini; Remo Ruffini. World Scientific Publishing, 2018. p. 3576-3581 (14th Marcel Grossman Meeting On Recent Developments in Theoretical and Experimental General Relativity, Astrophysics and Relativistic Field Theories, Proceedings).

Research output: Chapter in Book/Conference proceedings/Edited volume › Conference contribution › Scientific › peer-review

TY - GEN

T1 - Probing deformed commutators with micro- and nano-oscillators

AU - Bawaj, Mateusz

AU - Biancofiore, Ciro

AU - Bonaldi, Michele

AU - Bonfigli, Federica

AU - Borrielli, Antonio

AU - Giuseppe, Giovanni Di

AU - Marconi, Lorenzo

AU - Marino, Francesco

AU - Serra, Enrico

AU - More Authors, null

N1 - 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.

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AB - 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.

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KW - Modified uncertainty relations

KW - Planck scale

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M3 - Conference contribution

AN - SCOPUS:85059079888

T3 - 14th Marcel Grossman Meeting On Recent Developments in Theoretical and Experimental General Relativity, Astrophysics and Relativistic Field Theories, Proceedings

SP - 3576

EP - 3581

BT - 14th Marcel Grossman Meeting On Recent Developments in Theoretical and Experimental General Relativity, Astrophysics and Relativistic Field Theories, Proceedings

A2 - Bianchi, Massimo

A2 - Jantzen, Robert T

A2 - Ruffini, Remo

PB - World Scientific Publishing

T2 - 14th Marcel Grossman Meeting On Recent Developments in Theoretical and Experimental General Relativity, Astrophysics and Relativistic Field Theories

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Bawaj M, Biancofiore C, Bonaldi M, Bonfigli F, Borrielli A, Giuseppe GD et al. Probing deformed commutators with micro- and nano-oscillators. In Bianchi M, Jantzen RT, Ruffini R, Ruffini R, editors, 14th Marcel Grossman Meeting On Recent Developments in Theoretical and Experimental General Relativity, Astrophysics and Relativistic Field Theories, Proceedings. World Scientific Publishing. 2018. p. 3576-3581. (14th Marcel Grossman Meeting On Recent Developments in Theoretical and Experimental General Relativity, Astrophysics and Relativistic Field Theories, Proceedings). doi: 10.1142/9789813226609_0464

Probing deformed commutators with micro- and nano-oscillators

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Keywords

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