A new bound on polymer quantization via an opto-mechanical setup
arXiv:1801.00273 · doi:10.1038/s41598-018-19181-9
Abstract
The existence of a minimal measurable length as a characteristic length in the Planck scale is one of the main features of quantum gravity and has been widely explored in the context. Various different deformations of spacetime have been employed successfully for the purpose. However, polymer quantization approach is a relatively new and dynamic field towards the quantum gravity phenomenology, which emerges from the symmetric sector of the loop quantum gravity. In this article, we extend the standard ideas of polymer quantization to find a new and tighter bound on the polymer deformation parameter. Our protocol relies on an opto-mechanical experimental setup that was originally proposed in Ref.\cite{ref:Igor} to explore some interesting phenomena by embedding the minimal length into the standard canonical commutation relation. We extend this scheme to probe the \emph{polymer length} deformed canonical commutation relation of the center of mass mode of a mechanical oscillator with a mass around the Planck scale. The method utilizes the novelty of exchanging the relevant mechanical information with a high intensity optical pulse inside an optical cavity. We also demonstrate that our proposal is within the reach of the current technologies and, thus, it could uncover a decent realization of quantum gravitational phenomena thorough a simple table-top experiment.
7 pages, 1 figure, Accepted for Publication in Scientific Reports (Nature)
References in corpus (44)
- Sideband Cooling Micromechanical Motion to the Quantum Ground State
- Hilbert Space Representation of the Minimal Length Uncertainty Relation
- Potential Sensitivity of Gamma-Ray Burster Observations to Wave Dispersion in Vacuo
- Strong dispersive coupling of a high finesse cavity to a micromechanical membrane
- Discreteness of area and volume in quantum gravity
- Lorentz invariance with an invariant energy scale
- Relativity in space-times with short-distance structure governed by an observer-independent (Planckian) length scale
- A Generalized Uncertainty Principle in Quantum Gravity
- Observation of strong coupling between a micromechanical resonator and an optical cavity field
- Quantum Theory of Gravity I: Area Operators
- Quantum Spacetime Phenomenology
- Discreteness of Space from the Generalized Uncertainty Principle
- Probing Planck-scale physics with quantum optics
- Quantum Groups, Gravity, and the Generalized Uncertainty Principle
- A proposal for testing Quantum Gravity in the lab
- Uncertainty Relation in Quantum Mechanics with Quantum Group Symmetry
- Quantum gravity, shadow states, and quantum mechanics
- Pulsed quantum optomechanics
- Black-hole thermodynamics with modified dispersion relations and generalized uncertainty principles
- Optical dilution and feedback cooling of a gram-scale oscillator to 6.9 mK
- Minimal length, maximal momentum and Hilbert space representation of quantum mechanics
- Polymer Quantum Mechanics and its Continuum Limit
- The effects of minimal length and maximal momentum on the transition rate of ultra cold neutrons in gravitational field
- Cooling-by-measurement and mechanical state tomography via pulsed optomechanics
- Probing deformed commutators with macroscopic harmonic oscillators
- Composite system in deformed space with minimal length
- Minimal length in Quantum Mechanics and non-Hermitian Hamiltonian systems
- Quantum theory's last challenge
- Probing optomechanical correlations between two optical beams down to the quantum level
- Position-dependent noncommutativity in quantum mechanics
- Modified Dispersion Relation, Photon's Velocity, and Unruh Effect
- Optomechanical test of the Schrödinger-Newton equation
- Amplified transduction of Planck-scale effects using quantum optics
- Non-singular inflationary universe from polymer matter
- Polymer quantization of the free scalar field and its classical limit
- Polymer quantization, singularity resolution and the 1/r^2 potential
- Quantum-optical tests of Planck-scale physics
- Probing noncommutative theories with quantum optical experiments
- Do the Modified Uncertainty Principle and Polymer Quantization predict same physics?
- Optomechanical tests of a Schrödinger-Newton equation for gravitational quantum mechanics
- Polymeric Quantization and Black Hole Thermodynamics
- Quantum and Classical Phases in Optomechanics
- Band structure in the polymer quantization of the harmonic oscillator
- Polymer quantization versus the Snyder noncommutative space
Cited by in corpus (27)
- GUP Modified Hawking Radiation in Bumblebee Gravity
- Modified Unruh effect from Generalized Uncertainty Principle
- The deformation parameter of the generalized uncertainty principle
- Generalized uncertainty principle or curved momentum space?
- Planck scale effects on the stochastic gravitational wave background generated from cosmological hadronization transition: A qualitative study
- Non-commutative space engine: a boost to thermodynamic processes
- Probing Planck Scale Spacetime By Cavity Opto-Atomic Rb Interferometry
- Minimal length, maximal momentum and stochastic gravitational waves spectrum generated from cosmological QCD phase transition
- Heat flow and noncommutative quantum mechanics in phase-space
- Semiclassical and Quantum Polymer Effects in the Flat Isotropic Universe
- Heuristic derivation of the Casimir effect from Generalized Uncertainty Principle
- Polymer Quantum Mechanics as a Deformation Quantization
- Quantum Cycle in Relativistic Non-Commutative Space with Generalized Uncertainty Principle correction
- Noncommutative phase-space effects in thermal diffusion of Gaussian states
- Squeezed atom laser for Bose-Einstein condensate with minimal length
- Information Theoretical Approach to Detecting Quantum Gravitational Corrections
- An introductory review on resource theories of generalized nonclassical light
- Derivation of the deformed Heisenberg algebra from discrete spacetime
- Deformation of Nanowires and Nanotubes
- Superfluids in Polymer Quantum Mechanics
- Quantum Gravity Corrections to the Mean Field Theory of Nucleons
- Constraining the quantum gravity polymer scale using LIGO data
- Universality of Short Distance Corrections to Quantum Optics
- Low Energy Consequences of Loop Quantum Gravity
- Ergodic Concepts for a Self-Organizing Trivalent Spin Network: A Path to -dimensional Black Hole Entropy
- Probing Planck scale effects on absolute mass limit in neutrino flavor evolution
- Compactification, T-Duality and Quantum Erasers