Optimal control of atom transport for quantum gates in optical lattices

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 77, Issue 5, 2008, Pages

  De Chiara, G ^a,b   Calarco, T ^a,c   Anderlini, M ^d   Montangero, S ^e   Lee, P J ^f   Brown, B L ^f   Phillips, W D ^f   Porto, J V ^f  

^a UNIVERSITY OF TRENTO   (Italy)

^b UNIVERSITAT AUTÒNOMA DE BARCELONA   (Spain)

^c UNIVERSITY OF ULM   (Germany)

^d INFN SEZIONE DI FIRENZE   (Italy)

^e CNR   (Italy)

^f NATIONAL INSTITUTE OF STANDARDS AND TECHNOLOGY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

LATTICE CONSTANTS; MATHEMATICAL MODELS; OPTIMIZATION;

ATOM TRANSPORT; OPTICAL LATTICES; QUANTUM GATES;

QUANTUM THEORY;

EID: 44449097531     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.77.052333     Document Type: Article

References (33)

1. For a review, see, for example, I. Bloch, J. Phys. B JPAPEH 0953-4075 10.1088/0953-4075/38/9/013 38, S629 (2005).
2. G. Modugno, F. Ferlaino, R. Heidemann, G. Roati, M. Inguscio, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.68.011601 68, 011601 (R) (2003).
3. M. Greiner, O. Mandel, T. Esslinger, T. W. Hänsch, and I. Bloch, Nature (London) NATUAS 0028-0836 10.1038/415039a 415, 39 (2002).
4. J. J. Garcìa-Ripoll, M. A. Martin-Delgado, and J. I. Cirac, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.93.250405 93, 250405 (2004).
5. G. K. Brennen, C. M. Caves, P. S. Jessen, and I. H. Deutsch, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.82.1060 82, 1060 (1999).
6. D. Jaksch, H.-J. Briegel, J. I. Cirac, C. W. Gardiner, and P. Zoller, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.82.1975 82, 1975 (1999).
7. T. Calarco, U. Dorner, P. Julienne, C. Williams, and P. Zoller, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.70.012306 70, 012306 (2004).
8. P. J. Lee, M. Anderlini, B. L. Brown, J. Sebby-Strabley, W. D. Phillips, and J. V. Porto, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.99.020402 99, 020402 (2007).
9. O. Mandel, M. Greiner, A. Widera, T. Rom, T. W. Hänsch, and I. Bloch, Nature (London) NATUAS 0028-0836 10.1038/nature02008 425, 937 (2003).
10. A. P. Peirce, M. A. Dahleh, and H. Rabitz, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.37.4950 37, 4950 (1988)
11. R. Kosloff, S. A. Rice, P. Gaspard, S. Tersigni, and D. J. Tannor, Chem. Phys. CMPHC2 0301-0104 10.1016/0301-0104(89)90012-8 139, 201 (1989).
12. S. Trotzky, P. Cheinet, S. Folling, M. Feld, U. Schnorrberger, A. M. Rey, A. Polkovnikov, E. A. Demler, M. D. Lukin, and I. Bloch, Science SCIEAS 0036-8075 10.1126/science.1150841 319, 295 (2008).
13. M. Anderlini, P. J. Lee, B. L. Brown, J. Sebby-Strabley, W. D. Phillips, and J. V. Porto, Nature (London) NATUAS 0028-0836 10.1038/nature06011 448, 452 (2007).
14. J. J. Garcìa-Ripoll, P. Zoller, and J. I. Cirac, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.91.157901 91, 157901 (2003).
15. J. Sebby-Strabley, M. Anderlini, P. S. Jessen, and J. V. Porto, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.73.033605 73, 033605 (2006).
16. M. Anderlini, J. Sebby-Strabley, J. Kruse, J. V. Porto, and W. D. Phillips, J. Phys. B JPAPEH 0953-4075 10.1088/0953-4075/39/10/S19 39, S199 (2006).
17. J. Sebby-Strabley, B. L. Brown, M. Anderlini, P. J. Lee, W. D. Phillips, J. V. Porto, and P. R. Johnson, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.98.200405 98, 200405 (2007).
18. A. Kastberg, W. D. Phillips, S. L. Rolston, R. J. C. Spreeuw, and P. S. Jessen, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.74.1542 74, 1542 (1995).
19. M. Greiner, I. Bloch, O. Mandel, T. W. Hänsch, and T. Esslinger, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.87.160405 87, 160405 (2001).
20. Yu. B. Ovchinnikov, J. H. Müller, M. R. Doery, E. J. D. Vredenbregt, K. Helmerson, S. L. Rolston, and W. D. Phillips, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.83.284 83, 284 (1999).
21. I. B. Spielman, P. R. Johnson, J. H. Huckans, C. D. Fertig, S. L. Rolston, W. D. Phillips, and J. V. Porto, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.73.020702 73, 020702 (R) (2006).
22. J. W. Thomas, Numerical Partial Differential Equations (Springer, New York, 1995), Vol. 1.
23. J. Crank and P. Nicolson, Proc. Cambridge Philos. Soc. 43, 50 (1947). 0068-6735
24. S. A. Rice and M. Zhao, Optical Control of Molecular Dynamics (Wiley, New York, 2000).
25. M. Shapiro and P. Brumer, Principles of the Quantum Control of Molecular Processes (Wiley, New York, 2003).
26. S. E. Sklarz and D. J. Tannor, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.66.053619 66, 053619 (2002).
27. B. Vaucher, S. R. Clark, U. Dorner, and D. Jaksch, New J. Phys. NJOPFM 1367-2630 10.1088/1367-2630/9/7/221 9, 221 (2007).
28. O. Romero-Isart and J. J. Garcìa-Ripoll, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.76.052304 76, 052304 (2007).
29. S. Montangero, T. Calarco, and R. Fazio, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.99.170501 99, 170501 (2007).
30. V. F. Krotov, Global Methods in Optimal Control Theory (Dekker, New York, 1996).
31. M. Olshanii, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.81.938 81, 938 (1998).
32. G. L. G. Sleijpen and H. A. van der Vorst, SIAM Rev. SIREAD 0036-1445 10.1137/S0036144599363084 42, 267 (2000) we used the routine written by G. L. G. Sleijpen and co-workers: http://www.math.uu.nl/people/sleijpen/
33. E. Anderson, LAPACK User's Guide (SIAM, Philadelphia, 1999).