Signatures of noncommutativity in bar detectors of gravitational waves

Abstract

The comparison between the noncommutative length scale $\sqrt{\theta }$ and the length variation $\delta L=hL$, detected in the GW detectors indicate that there is a strong possibility to detect the noncommutative structure of space in the GW detector set up. We therefore explore how the response of a bar detector gets affected due to the presence of noncommutative structure of space keeping terms upto second order in the gravitational wave perturbation ($h$) in the Hamiltonian. Interestingly, the second order term in $h$ shows a transition between the ground state and one of the perturbed second excited states that was absent when the calculation was restricted only to first order in $h$.

arXiv commentThis write up is based on a talk presented at the XI Bolyai-Gauss-Lobachevsky (BGL-2019) Conference on Non-Euclidean, Non-Commutative Geometry and Quantum Physics, held at the Bogolyubov Institute for Theoretical Physics, Kyiv from 19-24 May,2019 and is based on the work by the authors published in Class.Quant.Grav. 36 (2019) 055006 and contains some new results and observations

References in corpus (29)

• String Theory and Noncommutative Geometry
• GW151226: Observation of Gravitational Waves from a 22-Solar-Mass Binary Black Hole Coalescence
• Noncommutative Field Theory
• Noncommutative Field Theory and Lorentz Violation
• Quantum mechanics on the noncommutative plane and sphere
• Stable Operation of a 300-m Laser Interferometer with Sufficient Sensitivity to Detect Gravitational-Wave Events within our Galaxy
• Noncommutative Gravitational Quantum Well
• Noncommutative Quantum Mechanics from Noncommutative Quantum Field Theory
• Low-energy Limits on the Antisymmetric Tensor Field Background on the Brane and on the Non-commutative Scale
• Quantum Measurement, Gravitation, and Locality
• Symmetry, Gravity and Noncommutativity
• The Allegro gravitational wave detector: Data acquisition and analysis
• Voros product, Noncommutative Schwarzschild Black Hole and Corrected Area Law
• Dual families of non-commutative quantum systems
• A note on the noncommutative correction to gravity
• Noncommutative Point Sources
• Seiberg-Witten map and Galilean symmetry violation in a non-commutative planar system
• Interactions and non-commutativity in quantum Hall systems
• Path integral action of a particle in the non commutative plane
• Time-Space Noncommutativity in Gravitational Quantum Well scenario
• Noncommutative quantum mechanics of a harmonic oscillator under linearized gravitational waves
• Noncommutative quantum mechanics of a test particle under linearized gravitational waves
• Noncommutative magnetic moment of charged particles
• Response of simple quantum systems to different polarizations of gravitational waves in noncommutative phase-space
• Resonant-bar detectors of gravitational wave as possible probe of the noncommutative structure of space
• Footprint of spatial noncommutativity in resonant detectors of gravitational wave
• Equivalence principle in context of large uniform acceleration - a quantum mechanical perspective
• Noncommutative quantum mechanics of simple matter systems interacting with circularly polarized gravitational waves
• Trace of phase-space noncommutativity in the response of a free particle to linearized gravitational waves

Cited by in corpus (5)

• Generalized uncertainty principle in resonant detectors of gravitational waves
• Path integral action for a resonant detector of gravitational waves in the generalized uncertainty principle framework
• Resonant detectors of gravitational wave in the linear and quadratic generalized uncertainty principle framework
• Lewis and Berry phases for a gravitational wave interacting with a quantum harmonic oscillator
• Quantum gravity signatures in gravitational wave detectors placed inside a harmonic trap potential