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Probing Planck-scale physics with quantum optics
Open accessAbstract
One of the main challenges in physics today is to merge quantum theory and the theory of general relativity into a unified framework. Researchers 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 spacetime 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 centre-of-mass mode of a mechanical oscillator with a mass close to the Planck mass. Our protocol uses 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. Commutation relations define the limit to which two complementary properties can be simultaneously known—Heisenberg’s uncertainty principle. Yet it is thought that these canonical relations might be different in the quantum gravity regime. Researchers now show how quantum-optics experiments might provide a direct route for studying these effects.
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Citations
Cites
Nakamura, K. (2010) · Journal of Physics G: Nuclear and Particle Physics · doi:10.1088/0954-3899/37/7a/075021 · Cited by 5,797
�ber den anschaulichen Inhalt der quantentheoretischen Kinematik und Mechanik
Heisenberg, W. (1927) · Zeitschrift f�r Physik · doi:10.1007/bf01397280 · Cited by 4,278
Unified dynamics for microscopic and macroscopic systems
Ghirardi, G. C., Rimini, A., & Weber, T. (1986) · Physical Review D · doi:10.1103/physrevd.34.470 · Cited by 2,798
Laser cooling of a nanomechanical oscillator into its quantum ground state
Chan, J., Alegre, T. P. M., Safavi-Naeini, A. H., Hill, J. T., Krause, A., Gröblacher, S., Aspelmeyer, M., & Painter, O. (2011) · Nature · doi:10.1038/nature10461 · Cited by 2,311
Self-citationLIGO: The Laser Interferometer Gravitational-Wave Observatory
Abramovici, A., Althouse, W. E., Drever, R. W. P., Gürsel, Y., Kawamura, S., Raab, F. J., Shoemaker, D., Sievers, L., Spero, R. E., Thorne, K. S., et al. (1992) · Science · doi:10.1126/science.256.5055.325 · Cited by 2,244
Sideband cooling of micromechanical motion to the quantum ground state
Teufel, J. D., Donner, T., Li, D., Harlow, J. W., Allman, M. S., Cicak, K., Sirois, A. J., Whittaker, J. D., Lehnert, K. W., & Simmonds, R. W. (2011) · Nature · doi:10.1038/nature10261 · Cited by 2,089
Quantum ground state and single-phonon control of a mechanical resonator
O’Connell, A. D., Hofheinz, M., Ansmann, M., Bialczak, R. C., Lenander, M., Lucero, E., Neeley, M., Sank, D., Wang, H., Weides, M., et al. (2010) · Nature · doi:10.1038/nature08967 · Cited by 1,959
Hilbert space representation of the minimal length uncertainty relation
Kempf, A., Mangano, G., & Mann, R. B. (1995) · Physical Review D · doi:10.1103/physrevd.52.1108 · Cited by 1,954
Cavity Optomechanics: Back-Action at the Mesoscale
Kippenberg, T. J., & Vahala, K. J. (2008) · Science · doi:10.1126/science.1156032 · Cited by 1,889
On gravity's role in quantum state reduction
Penrose, R. (1996) · General Relativity and Gravitation · doi:10.1007/bf02105068 · Cited by 1,872
Tests of quantum gravity from observations of γ-ray bursts
Amelino-Camelia, G., Ellis, J., Mavromatos, N. E., Nanopoulos, D. V., & Sarkar, S. (1998) · Nature · doi:10.1038/31647 · Cited by 1,430
Strong dispersive coupling of a high-finesse cavity to a micromechanical membrane
Thompson, J. D., Zwickl, B. M., Jayich, A. M., Marquardt, F., Girvin, S. M., & Harris, J. G. E. (2008) · Nature · doi:10.1038/nature06715 · Cited by 1,391
QUANTUM GRAVITY AND MINIMUM LENGTH
GARAY, L. J. (1995) · International Journal of Modern Physics A · doi:10.1142/s0217751x95000085 · Cited by 1,371
String theory beyond the Planck scale
Gross, D. J., & Mende, P. F. (1988) · Nuclear Physics B · doi:10.1016/0550-3213(88)90390-2 · Cited by 1,249
LIGO: the Laser Interferometer Gravitational-Wave Observatory
Abbott, B. P., Abbott, R., Adhikari, R., Ajith, P., Allen, B., Allen, G., Amin, R. S., Anderson, S. B., Anderson, W. G., Arain, M. A., et al. (2009) · Reports on Progress in Physics · doi:10.1088/0034-4885/72/7/076901 · Cited by 1,241
Methods in Theoretical Quantum Optics
Barnett, S. M., & Radmore, P. M. (2002) · doi:10.1093/acprof:oso/9780198563617.001.0001 · Cited by 1,211
Exponential Operators and Parameter Differentiation in Quantum Physics
Wilcox, R. M. (1967) · Journal of Mathematical Physics · doi:10.1063/1.1705306 · Cited by 1,207
A generalized uncertainty principle in quantum gravity
Maggiore, M. (1993) · Physics Letters B · doi:10.1016/0370-2693(93)91401-8 · Cited by 1,105
Experimental demonstration of a robust, high-fidelity geometric two ion-qubit phase gate
Leibfried, D., DeMarco, B., Meyer, V., Lucas, D., Barrett, M., Britton, J., Itano, W. M., Jelenković, B., Langer, C., Rosenband, T., et al. (2003) · Nature · doi:10.1038/nature01492 · Cited by 1,083
Quantum ground state and single-phonon control of a mechanical resonator
(2010) · Journal Club for Condensed Matter Physics · doi:10.36471/jccm_april_2010_01 · Cited by 1,027
Observation of strong coupling between a micromechanical resonator and an optical cavity field
Gröblacher, S., Hammerer, K., Vanner, M. R., & Aspelmeyer, M. (2009) · Nature · doi:10.1038/nature08171 · Cited by 985
Self-citationTowards quantum superpositions of a mirror
Marshall, W., Simon, C., Penrose, R., & Bouwmeester, D. (2003) · Physical Review Letters · doi:10.1103/physrevlett.91.130401 · Cited by 960
Quantum-coherent coupling of a mechanical oscillator to an optical cavity mode
Verhagen, E., Deléglise, S., Weis, S., Schliesser, A., & Kippenberg, T. J. (2012) · Nature · doi:10.1038/nature10787 · Cited by 894
Generalized uncertainty principle in quantum gravity from micro-black hole gedanken experiment
Scardigli, F. (1999) · Physics Letters B · doi:10.1016/s0370-2693(99)00167-7 · Cited by 886
Quantum gravity and minimum length
Garay, L. J. (1994) · LA Referencia (Red Federada de Repositorios Institucionales de Publicaciones Científicas) · Cited by 881
Superstring collisions at planckian energies
Amati, D., Ciafaloni, M., & Veneziano, G. (1987) · Physics Letters B · doi:10.1016/0370-2693(87)90346-7 · Cited by 878
Circuit cavity electromechanics in the strong-coupling regime
Teufel, J. D., Li, D., Allman, M. S., Cicak, K., Sirois, A. J., Whittaker, J. D., & Simmonds, R. W. (2011) · Nature · doi:10.1038/nature09898 · Cited by 833
Entanglement and quantum computation with ions in thermal motion
Sørensen, A., & Mølmer, K. (2000) · Physical Review A · doi:10.1103/physreva.62.022311 · Cited by 783
Generalized Lorentz invariance with an invariant energy scale
Magueijo, J., & Smolin, L. (2003) · Physical Review D · doi:10.1103/physrevd.67.044017 · Cited by 691
Interaction between a moving mirror and radiation pressure: A Hamiltonian formulation
Law, C. K. (1995) · Physical Review A · doi:10.1103/physreva.51.2537 · Cited by 671
Universality of Quantum Gravity Corrections
Das, S., & Vagenas, E. C. (2008) · Physical Review Letters · doi:10.1103/physrevlett.101.221301 · Cited by 660
Potential Sensitivity of Gamma-Ray Burster Observations to Wave Dispersion in Vacuo
Amelino-Camelia, G., Ellis, J. R., Nanopoulos, D. V., Nanopoulos, D. V., & Sarkar, S. (1997) · CERN Document Server (European Organization for Nuclear Research) · doi:10.48550/arxiv.astro-ph/9712103 · Cited by 648
Discreteness of space from the generalized uncertainty principle
Ali, A. F., Das, S., & Vagenas, E. C. (2009) · Physics Letters B · doi:10.1016/j.physletb.2009.06.061 · Cited by 603
A limit on the variation of the speed of light arising from quantum gravity effects
Abdo, A. A., Ackermann, M., Ajello, M., Asano, K., Atwood, W. B., Axelsson, M., Baldini, L., Ballet, J., Barbiellini, G., Baring, M. G., et al. (2009) · Nature · doi:10.1038/nature08574 · Cited by 587
Generalized Uncertainty Principle in Quantum Gravity from Micro-Black Hole Gedanken ExperimentPreprint
Scardigli, F. (1999) · Cited by 528
Large Quantum Superpositions and Interference of Massive Nanometer-Sized Objects
Romero-Isart, O., Pflanzer, A. C., Blaser, F., Kaltenbaek, R., Kiesel, N., Aspelmeyer, M., & Cirac, J. I. (2011) · Physical Review Letters · doi:10.1103/physrevlett.107.020405 · Cited by 475
Self-citationParigi, V., Zavatta, A., Kim, M., & Bellini, M. (2007) · Science · doi:10.1126/science.1146204 · Cited by 465
Self-citationProposal for testing quantum gravity in the lab
Ali, A. F., Das, S., & Vagenas, E. C. (2011) · Physical Review D · doi:10.1103/physrevd.84.044013 · Cited by 436
Uncertainty relation in quantum mechanics with quantum group symmetry
Kempf, A. (1994) · Journal of Mathematical Physics · doi:10.1063/1.530798 · Cited by 403
Principle of relative locality
Amelino-Camelia, G., Freidel, L., Kowalski-Glikman, J., & Smolin, L. (2011) · Physical Review D · doi:10.1103/physrevd.84.084010 · Cited by 385
DOUBLY-SPECIAL RELATIVITY: FIRST RESULTS AND KEY OPEN PROBLEMS
AMELINO-CAMELIA, G. (2002) · International Journal of Modern Physics D · doi:10.1142/s021827180200302x · Cited by 294
Quantum optomechanics—throwing a glance [Invited]
Aspelmeyer, M., Gröblacher, S., Hammerer, K., & Kiesel, N. (2010) · Journal of the Optical Society of America B · doi:10.1364/josab.27.00a189 · Cited by 280
Self-citationVanner, M. R., Pikovski, I., Cole, G. D., Kim, M. S., Brukner, Č., Hammerer, K., Milburn, G. J., & Aspelmeyer, M. (2011) · Proceedings of the National Academy of Sciences · doi:10.1073/pnas.1105098108 · Cited by 276
Self-citationOptical Dilution and Feedback Cooling of a Gram-Scale Oscillator to 6.9 mK
Corbitt, T., Wipf, C., Bodiya, T., Ottaway, D., Sigg, D., Smith, N., Whitcomb, S., & Mavalvala, N. (2007) · Physical Review Letters · doi:10.1103/physrevlett.99.160801 · Cited by 224
Acernese, F., Alshourbagy, M., Amico, P., Antonucci, F., Aoudia, S., Astone, P., Avino, S., Baggio, L., Ballardin, G., Barone, F., et al. (2008) · Classical and Quantum Gravity · doi:10.1088/0264-9381/25/11/114045 · Cited by 209
Ion Trap Quantum Computing with Warm Ions
Milburn, G. J., Schneider, S., & James, D. F. V. (2000) · Fortschritte der Physik · doi:10.1002/1521-3978(200009)48:9/11<801::aid-prop801>3.0.co;2-1 · Cited by 203
Uncertainty relation on a world crystal and its applications to micro black holes
Jizba, P., Kleinert, H., & Scardigli, F. (2010) · Physical Review D · doi:10.1103/physrevd.81.084030 · Cited by 171
Neutrinos from gamma-ray bursts as a tool to explore quantum-gravity-induced Lorentz violation
Jacob, U., & Piran, T. (2007) · Nature Physics · doi:10.1038/nphys506 · Cited by 140
Scheme for Proving the Bosonic Commutation Relation Using Single-Photon Interference
Kim, M. S., Jeong, H., Zavatta, A., Parigi, V., & Bellini, M. (2008) · Physical Review Letters · doi:10.1103/physrevlett.101.260401 · Cited by 95
Self-citationOptomechanical trampoline resonators
Kleckner, D., Pepper, B. J., Jeffrey, E. R., Sonin, P., Thon, S. M., & Bouwmeester, D. (2011) · Optics Express · doi:10.1364/oe.19.019708 · Cited by 80
Some aspects of Planck scale quantum optics
Nozari, K. (2005) · Physics Letters B · doi:10.1016/j.physletb.2005.09.057 · Cited by 79
Scheme to Probe Optomechanical Correlations between Two Optical Beams Down to the Quantum Level
Verlot, P., Tavernarakis, A., Briant, T., Cohadon, P.-F., & Heidmann, A. (2009) · Physical Review Letters · doi:10.1103/physrevlett.102.103601 · Cited by 76
Quantum-limited metrology and Bose-Einstein condensates
Boixo, S., Datta, A., Davis, M. J., Shaji, A., Tacla, A. B., & Caves, C. M. (2009) · Physical Review A · doi:10.1103/physreva.80.032103 · Cited by 73
Quantum-Coherent Coupling of a Mechanical Oscillator to an Optical Cavity Mode
Verhagen, E., Deléglise, S., Weis, S., Schließer, A., & Kippenberg, T. J. (2012) · Conference on Lasers and Electro-Optics · doi:10.1364/cleo_at.2012.jm1k.1 · Cited by 73
Lorentz invariant intrinsic decoherence
Milburn, G. J. (2006) · New Journal of Physics · doi:10.1088/1367-2630/8/6/096 · Cited by 54
Information-Theoretic Natural Ultraviolet Cutoff for Spacetime
Kempf, A. (2009) · Physical Review Letters · doi:10.1103/physrevlett.103.231301 · Cited by 45
“Stringy” coherent states inspired by generalized uncertainty principle
Ghosh, S., & Roy, P. (2012) · Physics Letters B · doi:10.1016/j.physletb.2012.04.033 · Cited by 42
Doppler Optomechanics of a Photonic Crystal
Karraï, K., Favero, I., & Metzger, C. (2008) · Physical Review Letters · doi:10.1103/physrevlett.100.240801 · Cited by 39
No quantum gravity signature from the farthest quasars
Tamburini, F., Cuofano, C., Valle, M. D., & Gilmozzi, R. (2011) · Astronomy and Astrophysics · doi:10.1051/0004-6361/201015808 · Cited by 38
Lorentz invariant intrinsic decoherence
Milburn, G. J. (2003) · CERN Document Server (European Organization for Nuclear Research) · Cited by 34
Ion Trap Quantum Computing with Warm Ions
Milburn, G. J., Schneider, S., & James, D. F. V. (2000) · doi:10.1002/3527603182.ch3 · Cited by 23
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Aspelmeyer, M., Kippenberg, T. J., & Marquardt, F. (2014) · Reviews of Modern Physics · doi:10.1103/revmodphys.86.1391 · Cited by 5,501
Self-citationMinimal Length Scale Scenarios for Quantum Gravity
Hossenfelder, S. (2013) · Living Reviews in Relativity · doi:10.12942/lrr-2013-2 · Cited by 706
Testing the limits of quantum mechanical superpositions
Arndt, M., & Hornberger, K. (2014) · Nature Physics · doi:10.1038/nphys2863 · Cited by 432
A short walk through quantum optomechanics
Meystre, P. (2013) · Annalen der Physik · doi:10.1002/andp.201200226 · Cited by 422
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Chu, Y., Kharel, P., Yoon, T., Frunzio, L., Rakich, P. T., & Schoelkopf, R. J. (2018) · Nature · doi:10.1038/s41586-018-0717-7 · Cited by 308
Metadata
- Authors
- Pikovski, I., Vanner, M. R., Aspelmeyer, M., Kim, M. S., & Brukner, Č.
- Venue
- Nature Physics
- Published
- 2012-03-18
- Volume
- 8
- Issue
- 5
- Pages
- 393-397
- ISSN
- 1745-2473 (ISSN-L)
- 1745-2481
- OpenAlex
- W2107602703
- Cited by
- 594
- References
- 61
- FWCI
- 35.28
- Type
- journal article
- Language
- en
- Open access
- green
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