Abstract
The Unruh effect is one of the most fundamental manifestations of the fact that the particle content of a field theory is observer dependent. However, there has been so far no experimental verification of this effect, as the associated temperatures lie far below any observable threshold. Recently, physical phenomena, which are of great experimental challenge, have been investigated by quantum simulations in various fields. Here we perform a proof-of-principle simulation of the evolution of fermionic modes under the Unruh effect with a nuclear magnetic resonance (NMR) quantum simulator. By the quantum simulator, we experimentally demonstrate the behavior of Unruh temperature with acceleration, and we further investigate the quantum correlations quantified by quantum discord between two fermionic modes as seen by two relatively accelerated observers. It is shown that the quantum correlations can be created by the Unruh effect from the classically correlated states. Our work may provide a promising way to explore the quantum physics of accelerated systems.
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References
P. C. W. Davies, J. Phys. A 8, 609 (1975).
W. G. Unruh, Phys. Rev. D 14, 870 (1976).
L. C. B. Crispino, A. Higuchi, and G. E. A. Matsas, Rev. Mod. Phys. 80, 787 (2008).
S. W. Hawking, Nature 248, 30 (1974).
G. W. Gibbons, and S. W. Hawking, Phys. Rev. D 15, 2738 (1977).
W. G. Unruh, Phys. Rev. Lett. 46, 1351 (1981).
J. Rogers, Phys. Rev. Lett. 61, 2113 (1988).
W. G. Unruh, Phys. Rep. 307, 163 (1998).
P. Chen, and T. Tajima, Phys. Rev. Lett. 83, 256 (1999).
M. Aspachs, G. Adesso, and I. Fuentes-Schuller, Phys. Rev. Lett. 105, 151301 (2010).
S. Weinfurtner, E. W. Tedford, M. C. J. Penrice, W. G. Unruh, and G. A. Lawrence, Phys. Rev. Lett. 106, 021302 (2011).
E. Martin-Martinez, I. Fuentes-Schuller, and R. B. Mann, Phys. Rev. Lett. 107, 131301 (2011).
J. Hu, and H. Yu, Phys. Rev. A 85, 032105 (2012).
R. Feynman, Int. J. Theor. Phys. 21, 467 (1982).
S. Lloyd, Science 273, 1073 (1996).
I. Buluta, and F. Nori, Science 326, 108 (2009).
M. Greiner, O. Mandel, T. Esslinger, T. W. Hansch, and I. Bloch, Nature 415, 39 (2002).
J. Simon, W. S. Bakr, R. Ma, M. E. Tai, P. M. Preiss, and M. Greiner, Nature 472, 307 (2011).
Y. Lu, G.-R. Feng, Y.-S. Li, and G.-L. Long, Sci. Bull. 60, 241 (2015).
C. Zhang, C.-F. Li, and G.-C. Guo, Sci. Bull. 60, 249 (2015).
H. P. Büchler, M. Hermele, S. D. Huber, M. P. A. Fisher, and P. Zoller, Phys. Rev. Lett. 95, 040402 (2005).
R. Gerritsma, G. Kirchmair, F. Z¨ahringer, E. Solano, R. Blatt, and C. F. Roos, Nature 463, 68 (2010).
Y. M. Liu, and R. W. Liu, Sci. China-Phys. Mech. Astron. 57, 2259 (2014).
P. M. Alsing, J. P. Dowling, and G. J. Milburn, Phys. Rev. Lett. 94, 220401 (2005).
P. D. Nation, M. P. Blencowe, A. J. Rimberg, and E. Buks, Phys. Rev. Lett. 103, 087004 (2009).
J. Steinhauer, Nat Phys. 10, 864 (2014).
A. Spuru-Guzik, A. D. Dutoi, P. J. Love, and M. Head-Gordon, Science 309, 1704 (2005).
J. Du, N. Xu, X. Peng, P. Wang, S. Wu, and D. Lu, Phys. Rev. Lett. 104, 030502 (2010).
M. A. Nielsen, and I. L. Chuang, Quantum Computation and Quantum Information, (Cambrigde University Press, Cambridge, 2000).
R. M. Gingrich, and C. Adami, Phys. Rev. Lett. 89, 270402 (2002).
H. Li, and J. Du, Phys. Rev. A 68, 022108 (2003).
P. M. Alsing, and G. J. Milburn, Phys. Rev. Lett. 91, 180404 (2003).
A. Peres, and D. R. Terno, Rev. Mod. Phys. 76, 93 (2004).
I. Fuentes-Schuller, and R. B. Mann, Phys. Rev. Lett. 95, 120404 (2005).
P. M. Alsing, I. Fuentes-Schuller, R. B. Mann, and T. E. Tessier, Phys. Rev. A 74, 032326 (2006).
A. Datta, Phys. Rev. A 80, 052304 (2009).
J. Wang, J. Deng, and J. Jing, Phys. Rev. A 81, 052120 (2010).
L. C. Céleri, A. G. S. Landulfo, R. M. Serra, and G. E. A. Matsas, Phys. Rev. A 81, 062130 (2010).
D. E. Bruschi, J. Louko, E. Martín-Martínez, A. Dragan, and I. Fuentes-Schuller, Phys. Rev. A 82, 042332 (2010).
E. Martín-Martínez, L. J. Garay, and J. León, Phys. Rev. D 82, 064006 (2010).
M. Montero, and E. Martín-Martínez, Phys. Rev. A 85, 024301 (2012).
J. Chang, and Y. Kwon, Phys. Rev. A 85, 032302 (2012).
E. G. Brown, K. Cormier, E. Martín-Martínez, and R. B. Mann, Phys. Rev. A 86, 032108 (2012).
M. Hwang, E. Jung, and D. Park, Class. Quantum Grav. 29, 224004 (2012).
N. Metwally, and A. Sagheer, Quantum Inf. Proc. 13, 771 (2014).
M. Ramzan, Quantum. Inf. Proc. 13, 259 (2014).
L. Vandersypen, and I. Chuang, Rev. Mod. Phys. 76, 1037 (2004).
H. Ollivier, and W. H. Zurek, Phys. Rev. Lett. 88, 017901 (2001).
L. Henderson, and V. Vedral, J. Phys. A-Math. Gen. 34, 6899 (2001).
K. Modi, A. Brodutch, H. Cable, and T. Paterek, Rev. Mod. Phys. 84, 1655 (2012).
M. Ali, A. R. P. Rau, and G. Alber, Phys. Rev. A 81, 042105 (2010).
Y. Huang, Phys. Rev. A 88, 014302 (2013).
D. G. Cory, A. F. Fahmy, and T. F. Havel, Proc. Natl. Acad. Sci. U.S.A. 94, 1634 (1997).
I. L. Chuang, N. Gershenfeld, M. G. Kubinec, and D. W. Leung, Proc. R. Soc. A 454, 447 (1998).
X. Peng, J. Zhang, J. Du, and D. Suter, Phys. Rev. A 81, 042327 (2010).
R. R. Ernst, G. Bodenhausen, and A. Wokaun, Principles of Nuclear Magnetic Resonance in One and Two Dimensions, (Oxford University Press, Oxford, 1987).
A. Streltsov, H. Kampermann, and D. Bruß, Phys. Rev. Lett. 107, 170502 (2011).
F. Ciccarello, and V. Giovannetti, Phys. Rev. A 85, 010102 (2012).
B. P. Lanyon, P. Jurcevic, C. Hempel, M. Gessner, V. Vedral, R. Blatt, and C. F. Roos, Phys. Rev. Lett. 111, 100504 (2013).
S. Hamieh, R. Kobes, and H. Zaraket, Phys. Rev. A 70, 052325 (2004).
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Contributed by JiangFeng Du (CAS academician)
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Jin, F., Chen, H., Rong, X. et al. Experimental simulation of the Unruh effect on an NMR quantum simulator. Sci. China Phys. Mech. Astron. 59, 630302 (2016). https://doi.org/10.1007/s11433-016-5779-7
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DOI: https://doi.org/10.1007/s11433-016-5779-7