Resonant detectors of gravitational wave in the linear and quadratic generalized uncertainty principle framework

• URL: http://arxiv.org/abs/2308.11215v2
• Date: Thu, 25 Apr 2024 13:31:20 GMT
• Title: Resonant detectors of gravitational wave in the linear and quadratic generalized uncertainty principle framework
• Authors: Sukanta Bhattacharyya, Soham Sen, Sunandan Gangopadhyay,
• Abstract summary: We consider a resonant bar detector of gravitational wave in the generalized uncertainty principle (GUP) framework. The phonon modes in these detectors vibrate due to the interaction with the incoming gravitational wave. We calculate the resonant and transition rates induced by the incoming gravitational waves on these detectors.
• Score: 0.10713888959520207
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: In this work, we consider a resonant bar detector of gravitational wave 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 [http://dx.doi.org/10.1088/1361-6382/abac45, Class. Quantum Grav. 37 (2020) 195006]. We finally obtain bounds on the dimensionless GUP parameters using the form of the transition rates obtained during this analysis.

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