https://doi.org/10.1140/epjc/s10052-024-12786-7
Regular Article - Theoretical Physics
Resonant detectors of gravitational wave in the linear and quadratic generalized uncertainty principle framework
1
Department of Physics, West Bengal State University, Barasat, 700126, Kolkata, India
2
Department of Astrophysics and High Energy Physics, S. N. Bose National Centre for Basic Sciences, JD Block, Sector-III, Salt Lake City, 700 106, Kolkata, India
c
sunandan.gangopadhyay@gmail.com
Received:
22
August
2023
Accepted:
8
April
2024
Published online:
23
April
2024
In this work, we consider a resonant bar detector of gravitational waves in the generalized uncertainty principle (GUP) framework with linear and quadratic momentum uncertainties. The phonon modes in these detectors vibrate due to the interaction with the incoming gravitational wave. In this uncertainty principle framework, we calculate the resonant frequencies and transition rates induced by the incoming gravitational waves on these detectors. We observe that the energy eigenstates and the eigenvalues get modified by the GUP parameters. We also observe non-vanishing transition probabilities between two adjacent energy levels due to the existence of the linear order momentum correction in the generalized uncertainty relation which was not present in the quadratic GUP analysis (Class Quantum Gravity 37:195006, 2020). We finally obtain bounds on the dimensionless GUP parameters using the form of the transition rates obtained during this analysis.
© The Author(s) 2024
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