Trace of phase-space noncommutativity in the response of a free particle to linearized gravitational waves

Abstract

Interaction of linearized gravitational waves with a otherwise free particle has been studied quantum mechanically in a noncommutative phase-space to examine whether the particle's response to the gravitational wave gets modified due to spatial and/or momentum noncommutativity. The result shows that momentum noncommutativity introduces a oscillatory noise with a specific frequency determined by the fundamental momentum scale and particle mass. Because of the global nature of the phase-space noncommutativity such noise will have similar characteristics for all detector sites and thus will stand out in a data cross-correlation procedure. If detected, this noise will provide evidence of momentum noncommutativity and also an estimation of the relevant noncommutative parameter.

9 pages, Latex, Published version, discussions and references added

References in corpus (14)

• An Atomic Gravitational Wave Interferometric Sensor (AGIS)
• Gravitational Wave Detection with Atom Interferometry
• A note on the noncommutative correction to gravity
• Noncommutative Point Sources
• Lie algebraic Noncommutative Gravity
• Remarks on the Noncommutative Gravitational Quantum Well
• Noncommutative oscillator, symmetry and Landau problem
• Time-Space Noncommutativity in Gravitational Quantum Well scenario
• Noncommutative quantum mechanics of a harmonic oscillator under linearized gravitational waves
• Upper Limit on Gravitational Wave Backgrounds at 0.2 Hz with Torsion-bar Antenna
• Harmonic oscillator in a background magnetic field in noncommutative quantum phase-space
• Non-Pauli Transitions From Spacetime Noncommutativity
• Noncommutative quantum mechanics of a test particle under linearized gravitational waves
• Gravitational-wave Detection With Matter-wave Interferometers Based On Standing Light Waves

Cited by in corpus (4)

• 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
• Signatures of noncommutativity in bar detectors of gravitational waves