Search for violations of quantum mechanics
Abstract
The treatment of quantum effects in gravitational fields indicates that pure states may evolve into mixed states, and Hawking has proposed modification of the axioms of field theory which incorporate the corresponding violation of quantum mechanics. In this study we propose a modified hamiltonian equation of motion for density matrices and use it to interpret upper bounds on the violation of quantum mechanics in different phenomenological situations. We apply our formalism to the K^{0}K^{0} system and to long baseline neutron interferometry experiments. In both cases we find upper bounds of about 2 × 10^{21} GeV on contributions to the single particle “hamiltonian” which violate quantum mechanical coherence. We discuss how these limits might be improved in the future, and consider the relative significance of other successful tests of quantum mechanics. Finally, an appendix contains model estimates of the magnitude of effects violating quantum mechanics.
 Authors:

 SLAC National Accelerator Lab., Menlo Park, CA (United States)
 European Organization for Nuclear Research (CERN), Geneva (Switzerland)
 Publication Date:
 Research Org.:
 SLAC National Accelerator Laboratory (SLAC), Menlo Park, CA (United States); European Organization for Nuclear Research (CERN), Geneva (Switzerland)
 Sponsoring Org.:
 USDOE
 OSTI Identifier:
 1432461
 Report Number(s):
 SLACPUB3134
Journal ID: ISSN 05503213; PII: 0550321384900531
 Grant/Contract Number:
 AC0376SF00515
 Resource Type:
 Accepted Manuscript
 Journal Name:
 Nuclear Physics. B
 Additional Journal Information:
 Journal Volume: 241; Journal Issue: 2; Journal ID: ISSN 05503213
 Publisher:
 Elsevier
 Country of Publication:
 United States
 Language:
 English
 Subject:
 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS
Citation Formats
Ellis, John, Hagelin, John S., Nanopoulos, D. V., and Srednicki, M. Search for violations of quantum mechanics. United States: N. p., 1984.
Web. doi:10.1016/05503213(84)900531.
Ellis, John, Hagelin, John S., Nanopoulos, D. V., & Srednicki, M. Search for violations of quantum mechanics. United States. https://doi.org/10.1016/05503213(84)900531
Ellis, John, Hagelin, John S., Nanopoulos, D. V., and Srednicki, M. Sun .
"Search for violations of quantum mechanics". United States. https://doi.org/10.1016/05503213(84)900531. https://www.osti.gov/servlets/purl/1432461.
@article{osti_1432461,
title = {Search for violations of quantum mechanics},
author = {Ellis, John and Hagelin, John S. and Nanopoulos, D. V. and Srednicki, M.},
abstractNote = {The treatment of quantum effects in gravitational fields indicates that pure states may evolve into mixed states, and Hawking has proposed modification of the axioms of field theory which incorporate the corresponding violation of quantum mechanics. In this study we propose a modified hamiltonian equation of motion for density matrices and use it to interpret upper bounds on the violation of quantum mechanics in different phenomenological situations. We apply our formalism to the K0K0 system and to long baseline neutron interferometry experiments. In both cases we find upper bounds of about 2 × 1021 GeV on contributions to the single particle “hamiltonian” which violate quantum mechanical coherence. We discuss how these limits might be improved in the future, and consider the relative significance of other successful tests of quantum mechanics. Finally, an appendix contains model estimates of the magnitude of effects violating quantum mechanics.},
doi = {10.1016/05503213(84)900531},
journal = {Nuclear Physics. B},
number = 2,
volume = 241,
place = {United States},
year = {1984},
month = {7}
}
Web of Science
Works referenced in this record:
Particle creation by black holes
journal, August 1975
 Hawking, S. W.
 Communications In Mathematical Physics, Vol. 43, Issue 3
On particle creation by black holes
journal, February 1975
 Wald, Robert M.
 Communications in Mathematical Physics, Vol. 45, Issue 1
The four laws of black hole mechanics
journal, June 1973
 Bardeen, J. M.; Carter, B.; Hawking, S. W.
 Communications in Mathematical Physics, Vol. 31, Issue 2
The propagation of particles in spacetime foam
journal, September 1979
 Hawking, S. W.; Page, D. N.; Pope, C. N.
 Physics Letters B, Vol. 86, Issue 2
Quantum gravitational bubbles
journal, October 1980
 Hawking, S. W.; Page, D. N.; Pope, C. N.
 Nuclear Physics B, Vol. 170, Issue 2
The unpredictability of quantum gravity
journal, December 1982
 Hawking, S. W.
 Communications in Mathematical Physics, Vol. 87, Issue 3
Observation of Gravitationally Induced Quantum Interference
journal, June 1975
 Colella, R.; Overhauser, A. W.; Werner, S. A.
 Physical Review Letters, Vol. 34, Issue 23
Nonlinear wave mechanics
journal, September 1976
 BialynickiBirula, Iwo; Mycielski, Jerzy
 Annals of Physics, Vol. 100, Issue 12
Gaussons: Solitons of the Logarithmic Schrödinger Equation
journal, September 1979
 BialynickiBirula, Iwo; Mycielski, Jerzy
 Physica Scripta, Vol. 20, Issue 34
Properties of quantum Markovian master equations
journal, April 1978
 Gorini, Vittorio; Frigerio, Alberto; Verri, Maurizio
 Reports on Mathematical Physics, Vol. 13, Issue 2
Can QuantumMechanical Description of Physical Reality Be Considered Complete?
journal, May 1935
 Einstein, A.; Podolsky, B.; Rosen, N.
 Physical Review, Vol. 47, Issue 10
The muon (g−2) precession experiments: Past, present and future
journal, November 1974
 Combley, F.; Picasso, E.
 Physics Reports, Vol. 14, Issue 1
Observable gravitationally induced baryon decay
journal, May 1983
 Ellis, John; Hagelin, John S.; Nanopoulos, D. V.
 Physics Letters B, Vol. 124, Issue 6
On the Einstein Podolsky Rosen paradox
journal, November 1964
 Bell, J. S.
 Physics Physique Fizika, Vol. 1, Issue 3
Fermion masses and Higgs representations in SU(5)
journal, December 1979
 Ellis, John; Gaillard, Mary K.
 Physics Letters B, Vol. 88, Issue 34
Fermion masses from supergravity
journal, April 1983
 Nanopoulos, D. V.; Srednicki, M.
 Physics Letters B, Vol. 124, Issue 12
Grand unification in simple supergravity
journal, January 1983
 Ellis, John; Nanopoulos, D. V.; Tamvakis, K.
 Physics Letters B, Vol. 121, Issue 23
Search for Proton Decay into ${e}^{+}{\pi}^{0}$
journal, July 1983
 Bionta, R. M.; Blewitt, G.; Bratton, C. B.
 Physical Review Letters, Vol. 51, Issue 1
Works referencing / citing this record:
CPT violating decoherence and LSND: a possible window to planck scale physics
journal, January 2005
 Barenboim, Gabriela; Mavromatos, Nick E.
 Journal of High Energy Physics, Vol. 2005, Issue 01
Fundamental decoherence from quantum gravity: a pedagogical review
journal, July 2007
 Gambini, Rodolfo; Porto, Rafael A.; Pullin, Jorge
 General Relativity and Gravitation, Vol. 39, Issue 8
BEYOND THE WEISSKOPF–WIGNER APPROXIMATION IN THE $K^0\bar K^0$ SYSTEM
journal, February 1999
 Nowakowski, Marek
 International Journal of Modern Physics A, Vol. 14, Issue 04
Tests of quantum gravity from observations of γray bursts
journal, October 1998
 AmelinoCamelia, G.; Ellis, John; Mavromatos, N. E.
 Nature, Vol. 395, Issue 6701
A phenomenological description of spacetime noise in quantum gravity
journal, April 2001
 AmelinoCamelia, Giovanni
 Nature, Vol. 410, Issue 6832
Black hole evaporation without information loss
journal, March 1994
 Stephens, C. R.; Hooft, G. 't; Whiting, B. F.
 Classical and Quantum Gravity, Vol. 11, Issue 3
LeggettGarg ${K}_{3}$ quantity discriminates between Dirac and Majorana neutrinos
journal, October 2017
 Richter, Monika; Dziewit, Bartosz; Dajka, Jerzy
 Physical Review D, Vol. 96, Issue 7
Massless neutrino oscillations
journal, September 2001
 Benatti, F.; Floreanini, R.
 Physical Review D, Vol. 64, Issue 8
Possibility of observing energy decoherence due to quantum gravity
journal, November 2004
 Simon, Christoph; Jaksch, Dieter
 Physical Review A, Vol. 70, Issue 5
Decoherence in neutrino propagation through matter, and bounds from IceCube/DeepCore
journal, August 2018
 Coloma, P.; LopezPavon, J.; MartinezSoler, I.
 The European Physical Journal C, Vol. 78, Issue 8
PlanckLength Phenomenology
journal, February 2001
 AmelinoCamelia, Giovanni
 International Journal of Modern Physics D, Vol. 10, Issue 01
Dissipative effect in long baseline neutrino experiments
journal, July 2016
 Oliveira, Roberto L. N.
 The European Physical Journal C, Vol. 76, Issue 7
Gravity, entanglement and CPTsymmetry violation in particle mixing
journal, November 2019
 Simonov, K.; Capolupo, A.; Giampaolo, S. M.
 The European Physical Journal C, Vol. 79, Issue 11
Optomechanical Superpositions via Nested Interferometry
journal, July 2012
 Pepper, Brian; Ghobadi, Roohollah; Jeffrey, Evan
 Physical Review Letters, Vol. 109, Issue 2
Macroscopic Optomechanics from Displaced SinglePhoton Entanglement
journal, February 2014
 Sekatski, Pavel; Aspelmeyer, Markus; Sangouard, Nicolas
 Physical Review Letters, Vol. 112, Issue 8
Optomechanical MicroMacro Entanglement
journal, February 2014
 Ghobadi, R.; Kumar, S.; Pepper, B.
 Physical Review Letters, Vol. 112, Issue 8
QuantumSpacetime Phenomenology
journal, June 2013
 AmelinoCamelia, Giovanni
 Living Reviews in Relativity, Vol. 16, Issue 1
Nonlinear quantum evolution with maximal entropy production
journal, January 2001
 GheorghiuSvirschevski, S.
 Physical Review A, Vol. 63, Issue 2
Quantum theory's last challenge
journal, December 2000
 AmelinoCamelia, Giovanni
 Nature, Vol. 408, Issue 6813
Physics with the KLOE2 experiment at the upgraded DAΦNE
journal, June 2010
 AmelinoCamelia, G.; Archilli, F.; Babusci, D.
 The European Physical Journal C, Vol. 68, Issue 34
Quantum gravity: a progress report
journal, July 2001
 Carlip, S.
 Reports on Progress in Physics, Vol. 64, Issue 8
Quantum gravity: an introduction to some recent results
journal, July 1989
 Alvarez, Enrique
 Reviews of Modern Physics, Vol. 61, Issue 3
Solar neutrinos and neutrino physics
journal, April 2016
 Maltoni, Michele; Yu. Smirnov, Alexei
 The European Physical Journal A, Vol. 52, Issue 4
Bell’s locality and ${\mathrm{\varepsilon}}^{\prime}$ /ɛ
journal, February 1998
 Benatti, F.; Floreanini, R.
 Physical Review D, Vol. 57, Issue 3
Probing nonstandard neutrino physics by two identical detectors with different baselines
journal, April 2008
 Ribeiro, Nei Cipriano; Nunokawa, Hiroshi; Kajita, Takaaki
 Physical Review D, Vol. 77, Issue 7
Quantum dissipation and $CP$ violation in MINOS
journal, March 2014
 Oliveira, R. L. N.; Guzzo, M. M.; de Holanda, P. C.
 Physical Review D, Vol. 89, Issue 5
CPT Symmetry and Quantum Mechanics Tests in the Neutral Kaon System at KLOE
journal, October 2009
 Di Domenico, Antonio
 Foundations of Physics, Vol. 40, Issue 7
Quantum decoherence effects in neutrino oscillations at DUNE
journal, September 2019
 Gomes, G. Balieiro; Forero, D. V.; Guzzo, M. M.
 Physical Review D, Vol. 100, Issue 5
SpaceTime Fluctuations Induced by DBranes and Their Effects on Neutrino Oscillations
journal, September 2002
 Lambiase, G.
 General Relativity and Gravitation, Vol. 34, Issue 9
Model for decoherence of entangled beauty
journal, July 2001
 Bertlmann, R. A.; Grimus, W.
 Physical Review D, Vol. 64, Issue 5
The Thermodynamics of Black Holes
journal, July 2001
 Wald, Robert M.
 Living Reviews in Relativity, Vol. 4, Issue 1
New Standard Model constraints on the scales and dimension of spacetime
journal, December 2018
 Addazi, Andrea; Calcagni, Gianluca; Marcianò, Antonino
 Journal of High Energy Physics, Vol. 2018, Issue 12
A Search in Gamma‐Ray Burst Data for Nonconstancy of the Velocity of Light
journal, May 2000
 Ellis, John; Farakos, K.; Mavromatos, N. E.
 The Astrophysical Journal, Vol. 535, Issue 1
Possible role of gravity in collapse of the wavefunction: a brief survey of some ideas
journal, July 2015
 Singh, Tejinder P.
 Journal of Physics: Conference Series, Vol. 626
Decoherent neutrino mixing, dark energy, and matterantimatter asymmetry
journal, November 2004
 Barenboim, Gabriela; Mavromatos, Nick E.
 Physical Review D, Vol. 70, Issue 9
Tests of quantum gravity from observations of γray bursts
journal, June 1998
 AmelinoCamelia, G.; Ellis, John; Mavromatos, N. E.
 Nature, Vol. 393, Issue 6687
The Thermodynamics of Black Holes
journal, December 1977
 Sciama, D. W.
 Annals of the New York Academy of Sciences, Vol. 302, Issue 1 Eighth Texas
Theoretically Palatable Flavor Combinations of Astrophysical Neutrinos
text, January 2015
 Bustamante, Mauricio; Beacom, John F.; Winter, Walter
 Deutsches ElektronenSynchrotron, DESY, Hamburg
Theoretically palatable flavor combinations of astrophysical neutrinos
text, January 2015
 Bustamante, Mauricio; Beacom, John F.; Winter, Walter
 Deutsches ElektronenSynchrotron, DESY, Hamburg
The Thermodynamics of Black Holes
book, January 2002
 Wald, Robert M.
 Advances in the Interplay Between Quantum and Gravity Physics
QuantumGravity Decoherence Effects in Neutrino Oscillations: Expected Constraints from CNGS and JPARC
text, January 2008
 Mavromatos, Nick E.; Meregaglia, Anselmo; Rubbia, Andre
 arXiv
Optomechanical superpositions via nested interferometry
text, January 2011
 Pepper, Brian; Ghobadi, Roohollah; Jeffrey, Evan
 arXiv
Models of Wavefunction Collapse, Underlying Theories, and Experimental Tests
text, January 2012
 Bassi, Angelo; Lochan, Kinjalk; Satin, Seema
 arXiv
Quantum Dissipation and CP Violation in MINOS
text, January 2014
 Oliveira, R. L. N.; Guzzo, M. M.; de Holanda, P. C.
 arXiv
Macroscopic optomechanics from displaced singlephoton entanglement
text, January 2014
 Sekatski, Pavel; Aspelmeyer, Markus; Sangouard, Nicolas
 arXiv
Possible role of gravity in collapse of the wavefunction: a brief survey of some ideas
preprint, January 2015
 Singh, Tejinder P.
 arXiv
Dissipative Effect in Long Baseline Neutrino Experiments
text, January 2016
 Oliveira, Roberto L. N.
 arXiv
Experimental bounds on collapse models from gravitational wave detectors
text, January 2016
 Carlesso, M.; Bassi, A.; Falferi, P.
 arXiv
Relativity in spacetimes with shortdistance structure governed by an observerindependent (Planckian) length scale
text, January 2000
 AmelinoCamelia, Giovanni
 arXiv
Fundamental decoherence from quantum gravity: a pedagogical review
text, January 2006
 Gambini, Rodolfo; Porto, Rafael; Pullin, Jorge
 arXiv
Probing possible decoherence effects in atmospheric neutrino oscillations
text, January 2000
 Lisi, E.; Marrone, A.; Montanino, D.
 arXiv
CPT Violating Decoherence and LSND: a possible window to Planck scale Physics
text, January 2004
 Barenboim, Gabriela; Mavromatos, Nick
 arXiv
Decoherent Neutrino Mixing, Dark Energy and MatterAntimatter Asymmetry
text, January 2004
 Barenboim, Gabriela; Mavromatos, Nick
 arXiv
Nonlinear quantum evolution with maximal entropy production
text, January 2000
 GheorghiuSvirschevski, S.
 arXiv
Theoretically Palatable Flavor Combinations of Astrophysical Neutrinos
text, January 2015
 Bustamante, Mauricio; Beacom, John F.; Winter, Walter
 Deutsches ElektronenSynchrotron, DESY, Hamburg