Quantum ratchets for quantum communication with optical superlattices

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 76, Issue 5, 2007, Pages

  Romero Isart, Oriol ^a   García Ripoll, Juan José ^b  

^a UNIVERSITAT AUTÒNOMA DE BARCELONA   (Spain)

^b UNIVERSIDAD COMPLUTENSE DE MADRID   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

ATOMIC PHYSICS; OPTIMAL CONTROL SYSTEMS; QUANTUM COMPUTERS; QUANTUM THEORY;

OPTICAL SUPERLATTICES; QUANTUM COMMUNICATION; TWO-LEVEL BOSONIC ATOMS;

OPTICAL SYSTEMS;

EID: 36048933312     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.76.052304     Document Type: Article

References (57)

1. P. Reimann, Phys. Rep. PRPLCM 0370-1573 10.1016/S0370-1573(97)00064-1 290, 149 (1997).
2. R. D. Astumian, Science SCIEAS 0036-8075 10.1126/science.276.5314.917 276, 917 (1997).
3. S. Flach, O. Yevtushenko, and Y. Zolotaryuk, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.84.2358 84, 2358 (2000).
4. H. Schanz, M. F. Otto, R. Ketzmerick, and T. Dittrich, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.87.070601 87, 070601 (2001).
5. P. H. Jones, M. Goonasekera, and F. Renzoni, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.93.073904 93, 073904 (2004).
6. F. L. Moore, J. C. Robinson, C. F. Bharucha, B. Sundaram, and M. G. Raizen, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.75.4598 75, 4598 (1995).
7. B. G. Klappauf, W. H. Oskay, D. A. Steck, and M. G. Raizen, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.81.1203 81, 1203 (1998).
8. C. Mennerat-Robilliard, D. Lucas, S. Guibal, J. Tabosa, C. Jurczak, J.-Y. Courtois, and G. Grynberg, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.82.851 82, 851 (1999).
9. J. Ringot, P. Szriftgiser, J. C. Garreau, and D. Delande, Phys. Rev. Lett. 85, 2741 (2000). 0031-9007
10. G. Behinaein, V. Ramareddy, P. Ahmadi, and G. S. Summy, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.97.244101 97, 244101 (2006).
11. R. Gommers, S. Denisov, and F. Renzoni, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.96.240604 96, 240604 (2006).
12. L. Sanchez-Palencia, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.70. 011102 70, 011102 (2004).
13. P. Sjolund, S. J. H. Petra, C. M. Dion, S. Jonsell, M. Nylen, L. Sanchez-Palencia, and A. Kastberg, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.96.190602 96, 190602 (2006).
14. S. Denisov, L. Morales-Molina, S. Flach, and P. Hänggi, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.75.063424 75, 063424 (2007).
15. D. Poletti, G. Benenti, G. Casati, and B. Li, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.76.023421 76, 023421 (2007).
16. T. S. Monteiro, P. A. Dando, N. A. C. Hutchings, and M. R. Isherwood, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.89.194102 89, 194102 (2002).
17. T. Jonckheere, M. R. Isherwood, and T. S. Monteiro, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.91.253003 91, 253003 (2003).
18. N. A. C. Hutchings, M. R. Isherwood, T. Jonckheere, and T. S. Monteiro, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.70.036205 70, 036205 (2004).
19. G. Hur, C. E. Creffield, P. H. Jones, and T. S. Monteiro, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.72.013403 72, 013403 (2005).
20. A. Kenfack, J. Gong, and A. K. Pattanayak, e-print arXiv:0708.3026.
21. C. H. Bennett and D. P. DiVincenzo, Nature (London) NATUAS 0028-0836 10.1038/35005001 404, 247 (2000).
22. C. H. Bennett, G. Brassard, C. Crepeau, R. Jozsa, A. Peres, and W. K. Wootters, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.70.1895 70, 1895 (1993).
23. H.-J. Briegel, W. Dür, J. I. Cirac, and P. Zoller, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.81.5932 81, 5932 (1998).
24. L.-M. Duan, M. D. Lukin, J. I. Cirac, and P. Zoller, Nature (London) NATUAS 0028-0836 10.1038/35106500 414, 413 (2001).
25. S. Bose, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.91.207901 91, 207901 (2003).
26. T. J. Osborne and N. Linden, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.69.052315 69, 052315 (2004).
27. L. Amico, A. Osterloh, F. Plastina, R. Fazio, and G. M. Palma, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.69.022304 69, 022304 (2004).
28. M. Christandl, N. Datta, A. Ekert, and A. J. Landahl, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.92.187902 92, 187902 (2004).
29. M. B. Plenio and F. L. Semiao, New J. Phys. NJOPFM 1367-2630 10.1088/1367-2630/7/1/073 7, 73 (2005).
30. A. Wojcik, T. Luczak, P. Kurzynski, A. Grudka, T. Gdala, and M. Bednarska, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.72.034303 72, 034303 (2005).
31. H. L. Haselgrove, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.72. 062326 72, 062326 (2005).
32. D. Burgarth and S. Bose, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.71.052315 71, 052315 (2005).
33. D. Burgarth, e-print arXiv:0704.1309.
34. O. Romero-Isart, K. Eckert, and A. Sanpera, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.75.050303 75, 050303 (R) (2007).
35. K. Eckert, O. Romero-Isart, and A. Sanpera, New J. Phys. NJOPFM 1367-2630 10.1088/1367-2630/9/5/155 9, 155 (2007).
36. A. Bayat and S. Bose, e-print arXiv:0706.4176.
37. A. Kay, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.98.010501 98, 010501 (2007).
38. I. D'Amico, B. W. Lovett, and T. P. Spiller, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.76.030302 76, 030302 (R) (2007).
39. O. Romero-Isart, K. Eckert, C. Rodó, and A. Sanpera, J. Phys. A JPHAC5 0305-4470 10.1088/1751-8113/40/28/S11 40, 8019 (2007).
40. S. Bose, e-print arXiv:cond-mat/0610024.
41. S. Fölling, S. Trotzky, P. Cheinet, M. Feld, R. Saers, A. Widera, T. Müller, and I. Bloch, Nature (London) NATUAS 0028-0836 10.1038/nature06112 448, 1029 (2007).
42. 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).
43. 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).
44. 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).
45. 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).
46. D. Jaksch, C. Bruder, J. I. Cirac, C. W. Gardiner, and P. Zoller, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.81.3108 81, 3108 (1998).
47. M. Greiner, O. Mandel, T. Esslinger, T. W. Hänsch, and I. Bloch, Nature (London) NATUAS 0028-0836 10.1038/415039a 415, 39 (2002).
48. N. Khaneja, R. Brockett, and S. J. Glaser, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.63.032308 63, 032308 (2001).
49. M. A. Branch, T. F. Coleman, and Y. Li, SIAM J. Sci. Comput. (USA) SJOCE3 1064-8275 10.1137/S1064827595289108 21, 1 (1999).
50. S. Fölling, A. Widera, T. Muller, F. Gerbier, and I. Bloch, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.97.060403 97, 060403 (2006).
51. J. Werschnik and E. K. U. Gross, e-print arXiv:0707.1883v1.
52. C. E. Creffield, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett. 99.110501 99, 110501 (2007).
53. During the completion of this manuscript, an article of Creffield with related ideas has appeared. He shows how the quantum control of a periodic driving field can be employed to guide the motion of a boson in an otherwise empty optical lattice and to create entanglement by the interaction of two distinguishable bosons.
54. We will assume that the inhomogeneity Δ in Fig. 2 is zero, because otherwise the lattice has a net bias force and we cannot talk about a "ratchet".
55. Note that we only specify the final time, but assume that the initial time is set at t=0.
56. It is also possible to perform the optimization over a smaller subspace, using fewer vectors. This is particularly useful when one wants, for instance, to control the evolution of a single state.
57. In the work of Ref. the ratchet is studied using the mean-field formalism for a Bose-Einstein condensate.