Testing Generalised Uncertainty Principles through Quantum Noise

Abstract

Motivated by several approaches to quantum gravity, there is a considerable literature on generalised uncertainty principles particularly through modification of the canonical position-momentum commutation relations. Some of these modified relations are also consistent with general principles that may be supposed of any physical theory. Such modified commutators have significant observable consequences. Here we study the noisy behaviour of an optomechanical system assuming a certain commonly studied modified commutator. From recent observations of radiation pressure noise in tabletop optomechanical experiments as well as the position noise spectrum of Advanced LIGO we derive bounds on the modified commutator. We find how such experiments can be adjusted to provide significant improvements in such bounds, potentially surpassing those from sub-atomic measurements.

16+11 pages, 5 figures. Journal version

References in corpus (8)

• Universality of Quantum Gravity Corrections
• Discreteness of Space from the Generalized Uncertainty Principle
• Observation of Radiation Pressure Shot Noise on a Macroscopic Object
• What Do We Know About Lorentz Invariance?
• GUP parameter from quantum corrections to the Newtonian potential
• The Holometer: An Instrument to Probe Planckian Quantum Geometry
• Optimal uncertainty relations in a modified Heisenberg algebra
• Probing quantum gravity effects with quantum mechanical oscillators

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