Quantum interferometric visibility as a witness of general relativistic proper time

Nature Communications

Volumn 2, Issue 1, 2011, Pages

  Zych, Magdalena ^a   Costa, Fabio ^a   Pikovski, Igor ^a   Brukner, Aslav ^a,b  

^a UNIVERSITY OF VIENNA   (Austria)

^b ERICH SCHMID INSTITUTE OF MATERIALS SCIENCE   (Austria)

Author keywords

[No Author keywords available]

Indexed keywords

ARTICLE; GRAVITY; INTERFEROMETER; INTERFEROMETRY; QUANTUM MECHANICS; SPACE; TIME; VISIBILITY;

EID: 80055027600     PISSN: None     EISSN: 20411723     Source Type: Journal    
DOI: 10.1038/ncomms1498     Document Type: Article

References (32)

1. Hafele, J. C. & Keating, R. E. Around-the-world atomic clocks: predicted relativistic time gains. Science 177, 166-168 (1972).
2. Chiao, R. Y., Minter, S. J., Wegter-McNelly, K. & Martinez, L. A. Quantum incompressibility of a falling Rydberg atom, and a gravitationally- induced charge separation effect in superconducting systems. Found. Phys.1-19, DOI: 10.1007/s10701-010-9531-2 (2011).
3. Wajima, S., Kasai, M. & Futamase, T. Post-Newtonian effects of gravity on quantum interferometry. Phys. Rev. D 55, 1964-1970 (1997).
4. Dimopoulos, S., Graham, P. W., Hogan, J. M. & Kasevich, M. A. General relativistic effects in atom interferometry. Phys. Rev. D 78, 042003 (2008).
5. Aharonov, Y. & Bohm, D. Significance of electromagnetic potentials in the quantum theory. Phys. Rev. 115, 485-491 (1959).
6. Ho, V. B. & Morgan, M. J. An experiment to test the gravitational Aharonov-Bohm effect. Aust. J. Phys. 47, 245-253 (1994).
7. Colella, R., Overhauser, A. W. & Werner, S. A. Observation of gravitationally induced quantum interference. Phys. Rev. Lett. 34, 1472-1474 (1975).
8. Zawisky, M., Baron, M., Loidl, R. & Rauch, H. Testing the world's largest monolithic perfect crystal neutron interferometer. Nucl. Instrum. Methods Phys. Res. A 481, 406-413 (2002). (Pubitemid 34284718)
9. Peters, A., Chung, K. Y. & Chu, S. Measurement of gravitational acceleration by dropping atoms. Nature 400, 849-852 (1999). (Pubitemid 29406715)
10. Wootters, W. K. & Zurek, W. H. Complementarity in the double-slit experiment: Quantum nonseparability and a quantitative statement of Bohr's principle. Phys. Rev. D 19, 473-484 (1979).
11. Greenberger, D. M. & Yasin, A. Simultaneous wave and particle knowledge in a neutron interferometer. Phys. Lett. A 128, 391-394 (1988).
12. Englert, B. G. Fringe visibility and which-way information: An inequality. Phys. Rev. Lett. 77, 2154-2157 (1996).
13. Greenberger, D. M. Theory of particles with variable mass. I. Formalism. J. Math. Phys. 11, 2329 (1970).
14. Greenberger, D. M. Theory of particles with variable mass. II. Some physical consequences. J. Math. Phys. 11, 2341 (1970).
15. Kudaka, S. & Matsumoto, S. Uncertainty principle for proper time and mass. J. Math. Phys. 40, 1237 (1999).
16. Müller, H., Peters, A. & Chu, S. A precision measurement of the gravitational redshift by the interference of matter waves. Nature 463, 926-929 (2010).
17. Wolf, P. et al. Atom gravimeters and gravitational redshift. Nature 467, E1 (2010).
18. Sinha, S. & Samuel, J. Atom interferometers and the gravitational redshift. Class. Quantum Grav. 28, 145018 (2011).
19. Giulini, D. Equivalence principle, quantum mechanics, and atom-interferometric tests. arXiv:1105.0749v1 (2011).
20. Wolf, P. et al. Does an atom interferometer test the gravitational redshift at the Compton frequency? Class. Quantum Grav. 28, 145017 (2011).
21. Weinberg, S. Gravitation and Cosmology, (John Wiley & Sons, 1972).
22. Will, C. M. Theory and Experiment in Gravitational Physics, (Cambridge University Press, 1993).
23. Mandelstam, L. & Tamm, I. The uncertainty relation between energy and time in non-relativistic quantum mechanics. Journ. Phys. (USSR) 9, 249 (1945).
24. Fleming, G. N. A unitarity bound on the evolution of nonstationary states. Nuovo Cim. A 16, 232-240 (1973).
25. Margolus, N. & Levitin, L. B. The maximum speed of dynamical evolution. Physica D 120, 188-195 (1998). (Pubitemid 128676674)
26. Zielinski, B. & Zych, M. Generalization of the Margolus-Levitin bound. Phys. Rev. A 74, 034301 (2006).
27. Müller, H., Chiow, S., Herrmann, S. & Chu, S. Atom interferometers with scalable enclosed area. Phys. Rev. Lett. 102, 240403 (2009).
28. Neder, I., Heiblum, M., Mahalu, D. & Umansky, V. Entanglement, dephasing, and phase recovery via cross-correlation measurements of electrons. Phys. Rev. Lett. 98, 036803 (2007).
29. Ji, Y. et al. An electronic Mach-Zehnder interferometer. Nature 422, 415-418 (2003). (Pubitemid 36411391)
30. Arndt, M. et al. Wave-particle duality of C 60 molecules. Nature 401, 680-682 (1999).
31. Gerlich, S. et al. Quantum interference of large organic molecules. Nat. Commun. 2:263 doi: 10.1038/ncomms1263 (2011).
32. Miller, J. R. The NHMFL 45-T hybrid magnet system: past, present, and future. IEEE Trans. Appl. Supercond. 13, 1385-1390 (2003).