Quantum simulation of the Klein paradox with trapped ions

Physical Review Letters

Volumn 106, Issue 6, 2011, Pages

  Gerritsma, R ^a,b   Lanyon, B P ^a,b   Kirchmair, G ^a,b   Zahringer F ^a,b   Hempel, C ^a,b   Casanova, J ^c   Garcia Ripoll J J ^e   Solano, E ^c,d   Blatt, R ^a,b   Roos, C F ^a,b  

^a UNIVERSITY OF INNSBRUCK   (Austria)

^b ERICH SCHMID INSTITUTE OF MATERIALS SCIENCE   (Austria)

^c UNIVERSITY OF THE BASQUE COUNTRY UPV EHU   (Spain)

^d BASQUE FOUNDATION FOR SCIENCE   (Spain)

^e INSTITUTO DE FÍSICA FUNDAMENTAL   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

A-FRAMES; COMPUTING CAPABILITY; DIRAC EQUATIONS; EXTERNAL POTENTIAL; KLEIN PARADOX; MULTIPLE LASERS; QUANTUM SIMULATIONS; QUANTUM SIMULATORS; SCATTERING PARTICLES; SCATTERING POTENTIALS; SCATTERING PROCESS; TRAPPED ION; VIBRATIONAL STATE;

LINEAR EQUATIONS; QUANTUM CHEMISTRY; SCATTERING; VISUALIZATION;

IONS;

EID: 79951523422     PISSN: 00319007     EISSN: 10797114     Source Type: Journal    
DOI: 10.1103/PhysRevLett.106.060503     Document Type: Article

References (31)

1. R. Feynman, Int. J. Theor. Phys. IJTPBM 0020-7748 21, 467 (1982). 10.1007/BF02650179
2. S. Lloyd, Science 273, 1073 (1996). SCIEAS 0036-8075 10.1126/science.273. 5278.1073
3. I. Buluta and F. Nori, Science 326, 108 (2009). SCIEAS 0036-8075 10.1126/science.1177838
4. B.P. Lanyon, Nature Chem. 1755-4330 2, 106 (2010). 10.1038/nchem.483
5. X. Song Ma, B. Dakic, W. Naylor, A. Zeilinger, and P. Walther, arXiv:1008.4116.
6. X. Song Ma, B. Dakic, W. Naylor, A. Zeilinger, and P. Walther, arXiv:1008.4116. (Pubitemid 34062442)
7. S. Trotzky, P. Cheinet, S. Fölling, M. Feld, U. Schnorrberger, A.M. Rey, A. Polkovnikov, E.A. Demler, M.D. Lukin, and I. Bloch, Science 319, 295 (2008). SCIEAS 0036-8075 10.1126/science.1150841 (Pubitemid 351147691)
8. E.J. Pritchett, C. Benjamin, A. Galiautdinov, M.R. Geller, A.T. Sornborger, P.C. Stancil, and J.M. Martinis, arXiv:1008.0701.
9. D. Leibfried, Phys. Rev. Lett. 89, 247901 (2002). PRLTAO 0031-9007 10.1103/PhysRevLett.89.247901
10. D. Porras and J.I. Cirac, Phys. Rev. Lett. 92, 207901 (2004). PRLTAO 0031-9007 10.1103/PhysRevLett.92.207901
11. M. Johanning, A.F. Varón, and C. Wunderlich, J. Phys. B JPAPEH 0953-4075 42, 154009 (2009). 10.1088/0953-4075/42/15/154009
12. H. Friedenauer, H. Schmitz, J. Glueckert, D. Porras, and T. Schaetz, Nature Phys. NPAHAX 1745-2473 4, 757 (2008). 10.1038/nphys1032
13. K. Kim, M.-S. Chang, S. Korenblit, R. Islam, E.E. Edwards, J.K. Freericks, G.-D. Lin, L.-M. Duan, and C. Monroe, Nature (London) NATUAS 0028-0836 465, 590 (2010). 10.1038/nature09071
14. R. Gerritsma, G. Kirchmair, F. Zähringer, E. Solano, R. Blatt, and C.F. Roos, Nature (London) NATUAS 0028-0836 463, 68 (2010). 10.1038/nature08688
15. O. Klein, Z. Phys. 53, 157 (1929). ZEPYAA 1434-6001 10.1007/BF01339716
16. F. Sauter, Z. Phys. 69, 742 (1931). ZEPYAA 1434-6001 10.1007/BF01339461
17. H. Galic, Am. J. Phys. AJPIAS 0002-9505 56, 312 (1988). 10.1119/1.15630
18. R. Giachetti and E. Sorace, Phys. Rev. Lett. 101, 190401 (2008). PRLTAO 0031-9007 10.1103/PhysRevLett.101.190401
19. M.I. Katsnelson, K.S. Novoselov, and A.K. Geim, Nature Phys. NPAHAX 1745-2473 2, 620 (2006). 10.1038/nphys384 (Pubitemid 44328348)
20. A.H.C. Neto, F. Guinea, N.M.R. Peres, K.S. Novoselov, and A.K. Geim, Rev. Mod. Phys. 81, 109 (2009). RMPHAT 0034-6861 10.1103/RevModPhys.81.109
21. A.F. Young and P. Kim, Nature Phys. NPAHAX 1745-2473 5, 222 (2009). 10.1038/nphys1198
22. F. Hund, Z. Phys. 117, 1 (1941). ZEPYAA 1434-6001 10.1007/BF01337403
23. J. Schwinger, Phys. Rev. 82, 664 (1951). PHRVAO 0031-899X 10.1103/PhysRev.82.664
24. J. Casanova, J.J. GarcIa-Ripoll, R. Gerritsma, C.F. Roos, and E. Solano, Phys. Rev. A 82, 020101(R) (2010). PLRAAN 1050-2947 10.1103/PhysRevA.82.020101
25. C. Wittig, J. Phys. Chem. B 109, 8428 (2005). JPCBFK 1520-6106 10.1021/jp040627u (Pubitemid 40680371)
26. L. Lamata, J. León, T. Schätz, and E. Solano, Phys. Rev. Lett. 98, 253005 (2007). PRLTAO 0031-9007 10.1103/PhysRevLett.98.253005 (Pubitemid 47139900)
27. S. Wallentowitz and W. Vogel, Phys. Rev. Lett. 75, 2932 (1995). PRLTAO 0031-9007 10.1103/PhysRevLett.75.2932
28. F. Zähringer, G. Kirchmair, R. Gerritsma, E. Solano, R. Blatt, and C.F. Roos, Phys. Rev. Lett. 104, 100503 (2010). PRLTAO 0031-9007 10.1103/PhysRevLett.104.100503
29. See supplemental material at http://link.aps.org/supplemental/10.1103/ PhysRevLett.106.060503 for animated versions of each of the cases.
30. A. Bermudez, M.A. Martin-Delgado, and E. Solano, Phys. Rev. A 76, 041801(R) (2007). PLRAAN 1050-2947 10.1103/PhysRevA.76.041801 (Pubitemid 47531138)
31. J. Casanova, C. Sabín, J.J. García-Ripoll, J. Léon, I.L. Egusquiza, R. Gerritsma, C.F. Roos, and E. Solano, arXiv:1102.1651.