Generalized uncertainty principle in resonant detectors of gravitational waves
| Autor: | Sukanta Bhattacharyya, Anirban Saha, Sunandan Gangopadhyay |
|---|---|
| Rok vydání: | 2020 |
| Předmět: |
High Energy Physics - Theory
Physics Uncertainty principle Physics and Astronomy (miscellaneous) 010308 nuclear & particles physics Gravitational wave FOS: Physical sciences General Relativity and Quantum Cosmology (gr-qc) 01 natural sciences General Relativity and Quantum Cosmology LIGO Gravitation High Energy Physics - Theory (hep-th) Quantum mechanics 0103 physical sciences Quantum gravity Sensitivity (control systems) 010306 general physics Hamiltonian (control theory) Dimensionless quantity |
| Zdroj: | Classical and Quantum Gravity. 37:195006 |
| ISSN: | 1361-6382 0264-9381 |
| Popis: | With the direct detection of gravitational waves by advanced LIGO detector, a new "window" to quantum gravity phenomenology has been opened. At present, these detectors achieve the sensitivity to detect the length variation ($\delta L$), $\mathcal{O} \approx 10^{-17}-10^{-21}$ meter. Recently a more stringent upperbound on the dimensionless parameter $\beta_0$, bearing the effect of generalized uncertainty principle has been given which corresponds to the intermediate length scale $l_{im}= \sqrt{\beta_0} l_{pl} \sim 10^{-23} m$. Hence the flavour of the generalized uncertainty principle can be realised by observing the response of the vibrations of phonon modes in such resonant detectors in the near future. In this paper, therefore, we calculate the resonant frequencies and transition rates induced by the incoming gravitational waves on these detectors in the generalized uncertainty principle framework. It is observed that the effects of the generalized uncertainty principle bears its signature in both the time independent and dependent part of the gravitational wave-harmonic oscillator Hamiltonian. We also make an upper bound estimate of the GUP parameter. Comment: 12 pages Latex, thoroughly revised |
| Databáze: | OpenAIRE |
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