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Probing Planck-scale Physics With Quantum Optics

I. Pikovski, M. R. Vanner, M. Aspelmeyer, M. Kim, C. Brukner
Published 2011 · Physics

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One of the main challenges in physics today is to merge quantum theory and the theory of general relativity into a unified framework. Researches are developing various approaches towards such a theory of quantum gravity, but a major hindrance is the lack of experimental evidence of quantum gravitational effects. Yet, the quantization of space-time itself can have experimental implications: the existence of a minimal length scale is widely expected to result in a modification of the Heisenberg uncertainty relation. Here we introduce a scheme to experimentally test this conjecture by probing directly the canonical commutation relation of the center-of-mass mode of a mechanical oscillator with a mass close to the Planck mass. Our protocol utilizes quantum optical control and readout of the mechanical system to probe possible deviations from the quantum commutation relation even at the Planck scale. We show that the scheme is within reach of current technology. It thus opens a feasible route for table-top experiments to explore possible quantum gravitational phenomena.
This paper references
10.1103/PhysRevA.80.032103
Quantum-limited metrology and Bose-Einstein condensates
S. Boixo (2009)
10.1093/acprof:oso/9780198563617.001.0001
Methods in Theoretical Quantum Optics
P. Radmore (1997)
10.1063/1.530798
Uncertainty relation in quantum mechanics with quantum group symmetry
A. Kempf (1994)
10.1038/NPHYS1793
Simulations of efficient Raman amplification into the multipetawatt regime
R. Trines (2010)
10.1103/PhysRevLett.101.260401
Scheme for proving the bosonic commutation relation using single-photon interference.
M. Kim (2008)
A Hamiltonian Formulation of General Relativity
F. Tong (2006)
10.1103/PhysRevD.67.044017
Generalized Lorentz invariance with an invariant energy scale
J. Magueijo (2003)
10.1038/nature10261
Sideband cooling of micromechanical motion to the quantum ground state
J. Teufel (2011)
10.1103/PhysRevA.62.022311
Entanglement and quantum computation with ions in thermal motion
A. Sorensen (2000)
10.1016/S0273-1177(99)00980-1
The Laser Interferometer Gravitational-Wave Observatory LIGO
B. Barish (2000)
10.1103/PhysRevLett.102.103601
A scheme to probe optomechanical correlations between two optical beams down to the quantum level
P. Verlot (2009)
10.1038/nature01492
Experimental demonstration of a robust, high-fidelity geometric two ion-qubit phase gate
D. Leibfried (2003)
10.1038/nature08171
Observation of strong coupling between a micromechanical resonator and an optical cavity field
S. Groeblacher (2009)
10.1016/S0370-2693(99)00167-7
Generalized Uncertainty Principle in Quantum Gravity from Micro-Black Hole Gedanken Experiment
F. Scardigli (1999)
10.1126/science.256.5055.325
LIGO: The Laser Interferometer Gravitational-Wave Observatory
A. Abramovici (1992)
10.1103/PhysRevD.34.470
Unified dynamics for microscopic and macroscopic systems.
Ghirardi (1986)
10.1103/PhysRevD.81.084030
Uncertainty relation on a world crystal and its applications to micro black holes
P. Jizba (2010)
10.1103/PHYSREVLETT.100.240801
Doppler optomechanics of a photonic crystal.
K. Karrai (2008)
10.1038/nature10461
Laser cooling of a nanomechanical oscillator into its quantum ground state
Jasper Chan (2011)
10.1126/science.1146204
Probing Quantum Commutation Rules by Addition and Subtraction of Single Photons to/from a Light Field
V. Parigi (2007)
10.1063/1.881493
Reflections on the Fate of Spacetime
Edward Witten (1996)
Coherent States Inspired By Generalized Uncertainty Principle. Pre-print hep-ph/11105136 available at (http://arXiv.org
S. Ghosh (2011)
10.1103/PhysRevLett.91.130401
Towards quantum superpositions of a mirror.
William K. Marshall (2003)
10.1103/PhysRevD.84.044013
A proposal for testing quantum gravity in the lab
A. Ali (2011)
Back-action at the mesoscale
T. J. Kippenberg (2008)
10.1103/PhysRevLett.99.160801
Optical dilution and feedback cooling of a gram-scale oscillator to 6.9 mK.
T. Corbitt (2007)
10.1126/science.1156032
Cavity Optomechanics: Back-Action at the Mesoscale
T. Kippenberg (2008)
10.1038/nature08967
Quantum ground state and single-phonon control of a mechanical resonator
A. O’Connell (2010)
10.1038/31647
Potential Sensitivity of Gamma-Ray Burster Observations to Wave Dispersion in Vacuo
G. Amelino-Camelia (1997)
10.1073/pnas.1105098108
Pulsed quantum optomechanics
M. Vanner (2011)
10.1016/0370-2693(93)90785-G
The algebraic structure of the generalized uncertainty principle
M. Maggiore (1993)
10.1142/S021827180200302X
DOUBLY-SPECIAL RELATIVITY: FIRST RESULTS AND KEY OPEN PROBLEMS
G. Amelino-Camelia (2002)
10.1016/j.physletb.2009.06.061
Discreteness of space from the generalized uncertainty principle
A. Ali (2009)
10.1016/j.physletb.2005.09.057
Some aspects of Planck scale quantum optics
K. Nozari (2005)
10.1103/PhysRevD.52.1108
Hilbert space representation of the minimal length uncertainty relation.
Kempf (1995)
10.1364/JOSAB.27.00A189
Quantum optomechanics—throwing a glance [Invited]
M. Aspelmeyer (2010)
10.1088/0264-9381/22/10/009
The status of GEO 600
H. Grote (2006)
First Results and Key Open Problems
G. Amelino-Camelia
10.1103/PhysRevD.84.084010
Principle of relative locality
G. Amelino-Camelia (2011)
10.1016/0550-3213(88)90390-2
String theory beyond the Planck scale
D. Gross (1988)
10.1002/1521-3978(200009)48:9/11<801::AID-PROP801>3.0.CO;2-1
Ion Trap Quantum Computing with Warm Ions
G. Milburn (2000)
10.1364/OE.19.019708
Optomechanical trampoline resonators.
D. Kleckner (2011)
10.1103/PhysRevLett.103.231301
Information-theoretic natural ultraviolet cutoff for spacetime.
A. Kempf (2009)
10.1103/PhysRevLett.101.221301
Universality of quantum gravity corrections.
S. Das (2008)
10.1088/0264-9381/25/11/114045
Status of VIRGO
F. Acernese (2004)
10.1007/BF02105068
On Gravity's role in Quantum State Reduction
R. Penrose (1996)
Pulsed quantum optomechan
M. R. Vanner (2011)
10.1038/nphys506
Neutrinos from gamma-ray bursts as a tool to explore quantum-gravity-induced Lorentz violation
U. Jacob (2007)
10.1038/nature09898
Circuit cavity electromechanics in the strong-coupling regime
J. Teufel (2011)
Methods in Theoretical Quantum Optics (Oxford
S. M. Barnett (2002)
10.1063/1.1705306
Exponential Operators and Parameter Differentiation in Quantum Physics
R. M. Wilcox (1967)
10.1103/PHYSREVA.51.2537
Interaction between a moving mirror and radiation pressure: A Hamiltonian formulation.
L. Ck (1995)
10.1007/BF01397280
Über den anschaulichen Inhalt der quantentheoretischen Kinematik und Mechanik
W. Heisenberg (1927)
10.1051/0004-6361/201015808
No quantum gravity signature from the farthest quasars
F. Tamburini (2011)
10.1088/1742-6596/120/3/032010
Recent progress of TAMA300
K. Arai (2008)
10.1038/31647
Tests of quantum gravity from observations of γ-ray bursts
G. Amelino-Camelia (1998)
10.1103/PhysRevLett.107.020405
Large quantum superpositions and interference of massive nanometer-sized objects.
O. Romero-Isart (2011)
10.1038/NATURE06898
Strong dispersive coupling of a high-finesse cavity to a micromechanical membrane
J. Thompson (2008)
10.1016/j.physletb.2012.04.033
'Stringy' Coherent States Inspired By Generalized Uncertainty Principle
S. Ghosh (2012)
10.1038/nature08574
A limit on the variation of the speed of light arising from quantum gravity effects
A. Abdo (2009)
10.1364/CLEO_AT.2012.JM1K.1
Quantum-coherent coupling of a mechanical oscillator to an optical cavity mode
E. Verhagen (2012)
10.1088/1367-2630/8/6/096
Lorentz invariant intrinsic decoherence
G.J.Milburn (2003)
10.1016/0370-2693(87)90346-7
Superstring Collisions at Planckian Energies
D. Amati (1987)
10.1088/0954-3899/37/7A/075021
Review of Particle Physics
K. Nakamura (2010)
10.1142/S0217751X95000085
Quantum Gravity and Minimum Length
L. Garay (1995)
10.1016/0370-2693(93)91401-8
A generalized uncertainty principle in quantum gravity
M. Maggiore (1993)



This paper is referenced by
10.1088/1367-2630/15/4/043025
Quantum state preparation of a mechanical resonator using an optomechanical geometric phase
K. Khosla (2013)
10.1088/1361-6455/aaa2d9
Ground state cooling in a hybrid optomechanical system with a three-level atomic ensemble
Tan Hui Li (2017)
10.1088/1742-6596/1275/1/012004
The deformation parameter of the generalized uncertainty principle.
Fabio Scardigli (2019)
10.1103/PhysRevLett.110.060501
Open timelike curves violate Heisenberg's uncertainty principle.
J. Pienaar (2013)
10.1088/1475-7516/2015/09/025
Short Distance Physics of the Inflationary de Sitter Universe
A. Ali (2015)
Prospects for observing gravitational forces between nonclassical mechanical oscillators
Y. Liu (2020)
10.1088/1367-2630/ab7ddd
Generating mechanical and optomechanical entanglement via pulsed interaction and measurement
J. Clarke (2019)
10.1142/S0218271813500041
Coherent States in Gravitational Quantum Mechanics
P. Pedram (2013)
Minimal Length Effects on Motion of a Particle in Rindler Space
Xiaobo Guo (2020)
10.1155/2013/853696
On the Boundary Conditions in Deformed Quantum Mechanics with Minimal Length Uncertainty
P. Pedram (2013)
10.1142/S0219887817500050
Lorentz force and ponderomotive force in the presence of a minimal length
Behrooz Khosropour (2017)
Quantum Measurement with Atomic Cavity Optomechanics
Sydney Schreppler (2016)
10.1103/PhysRevResearch.2.023208
Optical squeezing for an optomechanical system without quantising the mechanical motion
Y. Ma (2020)
10.2478/s11534-014-0441-3
Planck-scale corrections to Friedmann equation
Adel Awad (2014)
10.1016/j.physletb.2018.08.061
Potential tests of the generalized uncertainty principle in the advanced LIGO experiment
Pasquale Bosso (2018)
10.1103/PhysRevA.98.033836
Enhanced nonlinear interaction effects in a four-mode optomechanical ring
Li-Jing Jin (2018)
10.14264/uql.2015.684
Cavity optomechanics with feedback and fluids
Glen I Harris (2015)
10.1038/srep02132
Extremely Low Loss Phonon-Trapping Cryogenic Acoustic Cavities for Future Physical Experiments
S. Galliou (2013)
10.1038/ncomms13022
A universal test for gravitational decoherence
C. Pfister (2016)
10.1088/1367-2630/16/11/113020
Superfluid optomechanics: coupling of a superfluid to a superconducting condensate
L. DeLorenzo (2013)
10.1038/NPHYS2503
Gravitational bar detectors set limits to Planck-scale physics on macroscopic variables
F. Marin (2013)
10.1103/PhysRevD.86.084053
The Constraints and Spectra of a Deformed Quantum Mechanics
Chee-Leong Ching (2012)
10.1016/j.physletb.2016.01.059
Discreteness of space from GUP in a weak gravitational field
Soumen Deb (2016)
10.1103/PhysRevD.96.066008
Planck scale Corrections to the Harmonic Oscillator, Coherent and Squeezed States
Pasquale Bosso (2017)
10.1016/j.physletb.2017.01.029
Short distance modification of the quantum virial theorem
Q. X. Zhao (2017)
10.1117/12.2309286
Interference-based multimode opto-electro-mechanical transducers
Iman Moaddel Haghighi (2018)
10.1364/JOSAB.378791
Optomechanically induced transparency, amplification, and fast–slow light transitions in an optomechanical system with multiple mechanical driving phases
Ying-jian Zhu (2020)
Viewing Generalised Uncertainty Principles through Quantum Noise
Parth Girdhar (2020)
10.1088/1367-2630/14/9/095015
Optomechanical sideband cooling of a thin membrane within a cavity
M. Karuza (2012)
10.1109/JMEMS.2018.2876593
Silicon Nitride MOMS Oscillator for Room Temperature Quantum Optomechanics
E. Serra (2018)
10.1142/S0218271814300250
Generalized Uncertainty Principle: Approaches and Applications
A. Tawfik (2014)
10.1038/nature.2012.11871
Single photon could detect quantum-scale black holes
Ron Cowen (2012)
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