Quantum walks and quantum simulations with Bloch-oscillating spinor atoms

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 82, Issue 3, 2010, Pages

  Witthaut, D ^a,b  

^a UNIVERSITY OF COPENHAGEN   (Denmark)

^b MAX PLANCK INSTITUTE FOR DYNAMICS AND SELF ORGANIZATION   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

DEGREES OF FREEDOM; DIRAC EQUATIONS; DIRAC PARTICLES; EXTERNAL FORCE; INTERNAL STATE; MATTER WAVES; OPTICAL LATTICES; PRECISE CONTROL; QUANTUM INFORMATION; QUANTUM SIMULATIONS; QUANTUM SIMULATORS; QUANTUM WALK; RELATIVISTIC EFFECTS; SPIN STATE; STATE-DEPENDENT; TIME-DEPENDENT; ULTRA-COLD;

LINEAR EQUATIONS; QUANTUM CHEMISTRY; QUANTUM OPTICS; QUANTUM THEORY; SPIN DYNAMICS;

ATOMS;

EID: 77956557046     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.82.033602     Document Type: Article

References (35)

1. I. Buluta and F. Nori, Science 0036-8075 10.1126/science.1177838 326, 108 (2009).
2. I. Bloch, J. Dalibard, and W. Zwerger, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.80.885 80, 885 (2008).
3. K. S. Novoselov, A. K. Geim, S. V. Morozov, D. Jiang, M. I. Katsnelson, I. V. Grigorieva, S. V. Dubonos, and A. A. Firsov, Nature (London) NATUAS 0028-0836 10.1038/nature04233 438, 197 (2005).
4. M. I. Katsnelson, K. S. Novoselov, and A. K. Geim, Nature Phys. NATUAS 1745-2473 10.1038/nphys384 2, 620 (2006).
5. L. Lamata, J. León, T. Schätz, and E. Solano, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.98.253005 98, 253005 (2007).
6. R. Gerritsma, F. Zähringer, E. Solano, R. Blatt, and C. F. Roos, Nature (London) NATUAS 0028-0836 10.1038/nature08688 463, 68 (2010).
7. L. J. Garay, J. R. Anglin, J. I. Cirac, and P. Zoller, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.85.4643 85, 4643 (2000).
8. Y. Aharonov, L. Davidovich, and N. Zagury, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.48.1687 48, 1687 (1993).
9. M. Karski, L. Förster, J.-M. Choi, A. Steffen, W. Alt, D. Meschede, and A. Widera, Science SCIEAS 0036-8075 10.1126/science.1174436 325, 174 (2009).
10. H. Schmitz, R. Matjeschk, Ch. Schneider, J. Glueckert, M. Enderlein, T. Huber, and T. Schaetz, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett. 103.090504 103, 090504 (2009).
11. A. Schreiber, K. N. Cassemiro, V. Potocek, A. Gabris, P. J. Mosley, E. Andersson, I. Jex, and Ch. Silberhorn, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.104.050502 104, 050502 (2010).
12. F. Zähringer, G. Kirchmair, R. Gerritsma, E. Solano, R. Blatt, and C. F. Roos, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.104.100503 104, 100503 (2010).
13. S.-L. Zhu, B. Wang, and L.-M. Duan, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.98.260402 98, 260402 (2007).
14. J. Otterbach, R. G. Unanyan, and M. Fleischhauer, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.102.063602 102, 063602 (2009).
15. E. Haller, R. Hart, M. J. Mark, J. G. Danzl, L. Reichsöllner, and H.-C. Nägerl, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.104. 200403 104, 200403 (2010).
16. A. Görlitz, T. L. Gustavson, A. E. Leanhardt, R. Löw, A. P. Chikkatur, S. Gupta, S. Inouye, D. E. Pritchard, and W. Ketterle, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.90.090401 90, 090401 (2003).
17. M. Gustavsson, E. Haller, M. J. Mark, J. G. Danzl, G. Rojas-Kopeinig, and H.-C. Nägerl, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.100. 080404 100, 080404 (2008).
18. D. M. Weld, P. Medley, H. Miyake, D. Hucul, D. E. Pritchard, and W. Ketterle, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.103.245301 103, 245301 (2009).
19. P. Böhi, M. F. Riedl, J. Hoffrogge, J. Reichl, T. W. Hänsch, and P. Treutlein, Nature Phys. PRLTAO 1745-2473 10.1038/nphys1329 5, 592 (2009).
20. L. Förster, M. Karski, J.-M. Choi, A. Steffen, W. Alt, D. Meschede, A. Widera, E. Montano, J. H. Lee, W. Rakreungdet, and P. S. Jessen, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.103.233001 103, 233001 (2009).
21. B. Mischuck, I. H. Deutsch, and P. S. Jessen, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.81.023403 81, 023403 (2010).
22. F. Bloch, Z. Phys. 1434-6001 10.1007/BF01339455 52, 555 (1929).
23. J. Feldmann, K. Leo, J. Shah, D. A. B. Miller, J. E. Cunningham, T. Meier, G. von Plessen, A. Schulze, P. Thomas, and S. Schmitt-Rink, Phys. Rev. B PLRAAN 1098-0121 10.1103/PhysRevB.46.7252 46, R7252 (1992).
24. T. Pertsch, P. Dannberg, W. Elflein, A. Bräuer, and F. Lederer, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.83.4752 83, 4752 (1999).
25. M. Ben Dahan, E. Peik, J. Reichel, Y. Castin, and C. Salomon, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.76.4508 76, 4508 (1996).
26. T. Hartmann, F. Keck, H. J. Korsch, and S. Mossmann, New J. Phys. NJOPFM 1367-2630 10.1088/1367-2630/6/1/002 6, 2 (2004).
27. A. Klumpp, D. Witthaut, and H. J. Korsch, J. Phys. A: Math. Theor. NJOPFM 1751-8113 10.1088/1751-8113/40/10/006 40, 2299 (2007).
28. B. M. Breid, D. Witthaut, and H. J. Korsch, New J. Phys. NJOPFM 1367-2630 10.1088/1367-2630/8/7/110 8, 110 (2006).
29. B. M. Breid, D. Witthaut, and H. J. Korsch, New J. Phys. NJOPFM 1367-2630 10.1088/1367-2630/9/3/062 9, 62 (2007).
30. C. Sias, H. Lignier, Y. P. Singh, A. Zenesini, D. Ciampini, O. Morsch, and E. Arimondo, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.100. 040404 100, 040404 (2008).
31. A. Zenesini, H. Lignier, D. Ciampini, O. Morsch, and E. Arimondo, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.102.100403 102, 100403 (2009).
32. E. Arimondo, M. Inguscio, and P. Violino, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.49.31 49, 31 (1977).
33. F. W. Strauch, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.73.054302 73, 054302 (2006).
34. B. Thaller, The Dirac Equation (Springer, Berlin, 1992).
35. J. Dalibard, Y. Castin, and K. Mølmer, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.68.580 68, 580 (1992).