Parity-relevant zitterbewegung and quantum simulation by a single trapped ion

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 82, Issue 6, 2010, Pages

  Wang, Kunling ^a,b   Liu, Tao ^c   Feng, Mang ^a   Yang, Wanli ^a   Wang, Kelin ^d  

^a Wuhan National Laboratory for Optoelectronics   (China)

^b UNIVERSITY OF CHINESE ACADEMY OF SCIENCES   (China)

^c SOUTHWEST UNIVERSITY OF SCIENCE AND TECHNOLOGY   (China)

^d UNIVERSITY OF SCIENCE AND TECHNOLOGY OF CHINA   (China)

Author keywords

[No Author keywords available]

Indexed keywords

EVEN PARITY; EVEN-PARITY STATE; INVERSION OPERATORS; PARITY OPERATORS; QUANTUM SIMULATIONS; RELATIVISTIC ELECTRON; SINGLE TRAPPED ION; STATE REPRESENTATION; TRAPPED ION;

NUCLEAR ENERGY; QUANTUM CHEMISTRY;

IONS;

EID: 78650983333     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.82.064501     Document Type: Article

References (28)

1. E. Schödinger, Sitzungsber. Preuss. Akad. Wiss. Phys. Math. Kl. 24, 418 (1930).
2. A. O. Barut and A. J. Bracken, Phys. Rev. D PRVDAQ 1550-7998 10.1103/PhysRevD.23.2454 23, 2454 (1981);
3. A. O. Barut and W. Thacker, Phys. Rev. D PRVDAQ 1550-7998 10.1103/PhysRevD.31.1386 31, 1386 (1985).
4. D. Hestenes, Found. Phys. FNDPA4 0015-9018 10.1007/BF01889466 20, 1213 (1990).
5. V. A. Bordovitsyn and I. M. Ternov, Russ. Phys. J. 34, 2 (1991).
6. B. Thaller, e-print arXiv: quant-ph/0409079v1.
7. P. Krekora, Q. Su, and R. Grobe, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.93.043004 93, 043004 (2004).
8. G. Sparling, Semin. Congr. 4, 2000 (2007).
9. Z. Y. Wang and C. D. Xiong, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.77.045402 77, 045402 (2008).
10. K. Huang, Am. J. Phys. AJPIAS 0002-9505 10.1119/1.1933296 20, 479 (1952);
11. N. Hamdan, A. Altorra, and H. A. Salman, Proc. Pak. Acad. Sci. 44, 263 (2007).
12. L. Lamata, J. Leon, T. Schätz, and E. Solano, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.98.253005 98, 253005 (2007).
13. W. Zawadzki, Phys. Rev. B PLRBAQ 1098-0121 10.1103/PhysRevB.72.085217 72, 085217 (2005).
14. S. Q. Shen, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.95. 187203 95, 187203 (2005).
15. J. Schliemann, D. Loss, and R. M. Westervelt, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.94.206801 94, 206801 (2005).
16. J. Cserti and G. Dávid, Phys. Rev. B PLRBAQ 1098-0121 10.1103/PhysRevB.74.172305 74, 172305 (2006).
17. E. Bernardes, J. Schliemann, M. Lee, J. C. Egues, and D. Loss, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.99.076603 99, 076603 (2007).
18. R. Gerritsma, G. Kirchmair, F. Zähringer, E. Solano, R. Blatt, and C. F. Roos, Nature (London) NATUAS 0028-0836 10.1038/nature08688 463, 68 (2010).
19. X. Zhang, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.100. 113903 100, 113903 (2008).
20. J. Y. Vaishnav and C. W. Clark, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.100.153002 100, 153002 (2008).
21. G. Dávid and J. Cserti, Phys. Rev. B PLRBAQ 1098-0121 10.1103/PhysRevB.81.121417 81, 121417 (R) (2010).
22. [http://en.wikipedia.org/wiki/Hermite-polynomials].
23. - (p = 0) is an odd state, consistent with Eqs.(13)-(16).
24. C. Foudas, Advanced Particle Physics lecture 7 delivered at Imperial College London, 2007 (unpublished).
25. T. Liu, K. L. Wang, and M. Feng, Europhys. Lett. EULEEJ 0295-5075 10.1209/0295-5075/86/54003 86, 54003 (2009).
26. C. Monroe, D. M. Meekhof, B. E. King, S. R. Jefferts, W. M. Itano, D. J. Wineland, and P. Gould, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett. 75.4011 75, 4011 (1995).
27. D. M. Meekhof, C. Monroe, B. E. King, W. M. Itano, and D. J. Wineland, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.76.1796 76, 1796 (1996).
28. J. I. Cirac and P. Zoller, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.74.4091 74, 4091 (1995).