Document Type : Original Article
Authors
1 Department of Physics, Institute for Advanced Studies in Basic Sciences (IASBS), Zanjan, Iran. Optics Research Center, Institute for Advanced Studies in Basic Sciences (IASBS), Zanjan, Iran
2 Department of Physics, Institute for Advanced Studies in Basic Sciences (IASBS), Zanjan, Iran.
Abstract
In this work, we have studied the tunneling of a single atom in a double-well. The atom is interacting with a single ion in a simple harmonic trap placed in the center of the double-well. The tunneling of the atom is controlled by the spin and/or motional state of the ion. Considering a model potential, we have shown that it is possible to generate an entangled state between the spatial state of the ion and the atomic wavefunction. By employing the optimal control method, the quantum speed limit of generating this entangled process has been explored. This system can be used as qubit in quantum computers.
Keywords
- P Pfeifer, Phys. Rev. Lett. 70 (1993) 3365.
- Bhattacharyya, K. J. Phys. A: Math. Gen. 16 (1983) 2993.
- N Margolus and L B. Levitin, Physics D 120 (1998) 188.
- S Deffner and S Camplell, Journal of Physics A: Mathematical and Theoretical 50 (2017) 453001.
- S van Frank, A Negretti, T Berrada, R Bcker, S Montangero, J F Schaff, T Schumm, T Calarco, and J Schmiedmayer, Nature Communications 5 (2014) 4009.
- S van Frank, M Bonneau, J Schmiedmayer, S Hild, C Gross, M Cheneau, I Bloch, T Pichler, A Negretti, T Calarco, and S Montangero, Scientific Reports 6 (2016) 34187.
- D C Brody, Journal of Physics A: Mathematical and General 36 (2003) 5587.
- V F Krotov, “Global Methods in Optimal Control Theory”, Mercel Dekker, New York (1996).
- I Walmsley, and H Rabitz, Physics Today 56 (2003) 43.
10. I. Bloch, J. Dalibard, and S. Nascimbne, Nature Physics 8 (2012) 267.
11. M Lewenstein, A Sanpera, V Ahu_nger, B Damski, A Sen(De), and U Sen, Advances in Physics 56 (2007) 243.
12. N Goldman, G Juzelinas, P hberg, and I B Spielman, Reports on Progress in Physics 77 (2014) 126401.
13. D Leibfried, R Blatt, C Monroe, and D Wineland, Rev. Mod. Phys. 75 (2003) 281.
14. H Häffner, C Roos, and R Blatt, Physics Reports 469 (2008) 155.
15. R Blatt and C F Roos, Nature Physics 8 (2012) 277.
16. R Côfé, V. Kharchenko, and M. D. Lukin, Phys. Rev. Lett. 89 (2002) 093001.
17. R Côfé, Phys. Rev. Lett. 85 (2000) 5316.
18. R. Côfé and A. Dalgarno, Phys. Rev. A 62 (2000) 012709.
19. Z Idziaszek, T Calarco, and P Zoller, Phys. Rev. A 76 (2007) 033409.
20. J Bauer, C Salomon, and E Demler, Phys. Rev. Lett. 111 (2013) 215304.
21. J M Schurer, A Negretti, and P Schmelcher, New Journal of Physics 17 (2015) 083024.
22. W W Smith, O P Makarov, and J Lin, Journal of Modern Optics 52 (2005) 2253.
23. F H J Hall and S Willitsch, Phys. Rev. Lett. 109 (2012) 233202.
24. S Willitsch, M T Bell, A D Gingell, and T P Softley, Phys. Chem. Chem. Phys. 10 (2008) 7200.
25. K Ravi, S Lee, A Sharma, G Werth, and S Rangwala, Nature Communications 3 (2012) 1126.
26. C Zipkes, S Palzer, L Ratschbacher, C Sias, and M Kohl, Phys. Rev. Lett. 105 (2010) 133201.
27. F H J Hall, M Aymar, N Bouloufa-Maafa, O Dulieu, and S Willitsch, Phys. Rev. Lett. 107 (2011) 243202.
28. L Ratschbacher, C Zipkes, C Sias, and M Khl, Nature Physics 8 (2012) 649652.
29. A Rakshit and B Deb, Phys. Rev. A 83 (2011) 022703.
30. A Härter, A Krükow, A Brunner, W Schnitzler, S Schmid, and J H Denschlag, Phys. Rev. Lett. 109 (2012) 123201.
31. J Deiglmayr, A Göritz, T Best, M Weidemüller, and R Wester, Phys. Rev. A 86 (2012) 043438.
32. A T Grier, M Cetina, F Oručević, and V Vuletić, Phys. Rev. Lett. 102 (2009) 223201.
33. W W Smith, D S Goodman, I Sivarajah, J E Wells, S Banerjee, R Côté, H H Michels, J A Mongtomery, and F A Narducci, Applied Physics B 114 (2014) 75.
34. S Schmid, A Harter, and J H Denschlag, Phys. Rev. Lett. 105 (2010) 133202.
35. C Zipkes, L Ratschbacher, S Palzer, C Sias, and M Khl, Journal of Physics: Conference Series 264 (2011) 012019.
36. S Haze, S Hata, M Fujinaga, and T Mukaiyama, Phys. Rev. A 87 (2013) 052715.
37. R Gerritsma, A Negretti, H Doerk, Z Idziaszek, T Calarco, and F Schmidt-Kaler, Phys. Rev. Lett. 109 (2012) 080402.
38. J Joger, A Negretti, and R Gerritsma, Phys. Rev. A 89 (2014) 063621.
39. B D Josephson, Physics Letters 1 (1962) 251.
40. B D Josephson, Reviews of Modern Physics 36 (1964) 216.
41. M H Devoret, and J M Martinis, Quantum Information Processing 3 (2004) 163.
42. P Krantz, M Kyaergaard, F Yan, T P Orlanb, S Gustavsson, and W D Oliver, Applied Physics 6 (2019) 021318.
43. T Schweigler, et al., Nature 545 (2017) 323.
44. G Valtolina, et al., Science 350 (2015) 1505.
45. A Burchianti, et al., Phys. Rev. Lett. 120 (2018) 025302.
46. M Pigneur, et al., Phys. Rev. Lett. 120 (2018) 173601.
47. G Niccoli and J Teschner, Journal of Statistical Mechanics: Theory and Experiment (2010) 09014.
48. J M. Schurer, R Gerritsma, P Schmelcher, and A Negretti, Phys. Rev. A 93 (2016) 063602.
49. A Smerzi, S Fantoni, S Giovanazzi, and S R Shenoy, Phys. Rev. Lett. 79 (1997) 4950.
50. H Doerk, Z Idziaszek, and T Calarco, Phys. Rev. A 81 (2010) 012708.
51. T Secker, R Gerritsma, A W. Glaetzle, and A Negretti, Phys. Rev. A 94 (2016) 013420.
52. U Bissbort, et al., Phys. Rev. Lett. 111 (2013) 080501.
53. A Negretti, R Gerritsma, Z Idziaszek, F Schmidt-Kaler, and T Calarco, Phys. Rev. B 90 (2014) 155426.
54. D González-Cuadra, P R Grzybowski, A Dauphin, and M Lewenstein, Phys. Rev. Lett. 121 (2018) 090402.
55. A S Dehkharghani, E Rico, N T Zinner, and A Negretti, Phys. Rev. A 96 (2017) 043611.
56. M R Ebgha, S Saeidian, P Schmelcher, and A Negreti, Phys. Rev. A 100 (2019) 033616.
57. B R Johnson, J. Chem. Phys. 69 (1987) 4687 .
58. M J Seaton, Rep. Prog. Phys. 46 (1983) 167.
59. J M Schurer, P. Schmelcher, and A. Negretti, Phys. Rev. A 90 (2014) 033601.
60. S Lloyd, and S Montangero, Phys. Rev. Lett. 113 (2014) 010502.
61. M Albiez, R Gati, J F ̈olling, S Hunsmann, M Cristiani, and M K Oberthaler, Phys. Rev. Lett. 95 (2005) 010402 .
62. R Gati and M K Oberthaler, J. Phys. B 40 (2007) R61.
63. S Levy, E Lahoud, I Shomroni, and J Steinhauer, Nature, 449 (2007) 579 .
64. Atom Chips, edited by J. Reichel and V. Vuletić Wiley-VCH, Weinheim, (2011).
65. C Schneider, M Enderlein, T Huber, and T Schaetz, Nature Photonics 4 (2010) 772 .
66. M Enderlein, T Huber, C Schneider, and T Schaetz, Phys. Rev. Lett. 109 (2012) 233004 .