Quantum many-body dynamics of dark solitons in optical lattices

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 80, Issue 5, 2009, Pages

  Mishmash, R V ^a,b,c   Danshita, I ^c,d,e   Clark, Charles W ^c   Carr, L D ^b,c  

^a UNIVERSITY OF CALIFORNIA   (United States)

^b Department of Geology and Geological Engineering   (United States)

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

^d Boston University   (United States)

^e TOKYO UNIVERSITY OF SCIENCE   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

BOGOLIUBOV APPROXIMATION; BOGOLIUBOV THEORY; BOSE-HUBBARD HAMILTONIAN; BOSONIC ATOMS; DARK SOLITONS; DIRECTLY MODEL; MANY-BODY; MANY-BODY TREATMENT; MEAN-FIELD; NATURAL ORBITALS; ONE DIMENSIONAL OPTICAL LATTICE; OPTICAL LATTICES; QUANTUM DYNAMICS; QUANTUM ENTANGLED; QUANTUM EVOLUTION; QUANTUM FLUCTUATION; QUANTUM MODELS; SOLITON COLLISIONS; ULTRA-COLD;

BIOELECTRIC PHENOMENA; CRYSTAL LATTICES; OPTICAL MATERIALS; PARTICLE OPTICS; QUANTUM ELECTRONICS; QUANTUM ENTANGLEMENT;

SOLITONS;

EID: 70450245266     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.80.053612     Document Type: Article

References (74)

1. Y. S. Kivshar and B. Luther-Davis, Phys. Rep. 298, 81 (1998). 10.1016/S0370-1573(97)00073-2
2. G. L. Lamb, Phys. Rev. Lett. 37, 235 (1976). 10.1103/PhysRevLett.37.235
3. W. P. Reinhardt and C. W. Clark, J. Phys. B 30, L785 (1997). 10.1088/0953-4075/30/22/001
4. Emergent Nonlinear Phenomena in Bose-Einstein Condensates, edited by, P. G. Kevrekidis, D. J. Frantzeskakis and R. Carretero-González, (Springer-Verlag, Berlin, 2008).
5. S. Burger, K. Bongs, S. Dettmer, W. Ertmer, K. Sengstock, A. Sanpera, G. V. Shlyapnikov, and M. Lewenstein, Phys. Rev. Lett. 83, 5198 (1999). 10.1103/PhysRevLett.83.5198
6. J. Denschlag, J. E. Simsarian, D. L. Feder, C. W. Clark, L. A. Collins, J. Cubizolles, L. Deng, E. W. Hagley, K. Helmerson, W. P. Reinhardt, S. L. Rolston, B. I. Schneider, and W. D. Phillips, Science 287, 97 (2000). 10.1126/science.287.5450.97
7. C. Becker, S. Stellmer, P. Soltan-Panahi, S. Dörscher, M. Baumert, E.-M. Richter, J. Kronjäger, K. Bongs, and K. Sengstock, Nature Phys. 4, 496 (2008). 10.1038/nphys962
8. S. Stellmer, C. Becker, P. Soltan-Panahi, E.-M. Richter, S. Dörscher, M. Baumert, J. Kronjäger, K. Bongs, and K. Sengstock, Phys. Rev. Lett. 101, 120406 (2008). 10.1103/PhysRevLett.101.120406
9. A. Weller, J. P. Ronzheimer, C. Gross, J. Esteve, M. K. Oberthaler, D. J. Frantzeskakis, G. Theocharis, and P. G. Kevrekidis, Phys. Rev. Lett. 101, 130401 (2008). 10.1103/PhysRevLett.101.130401
10. B. P. Anderson, P. C. Haljan, C. A. Regal, D. L. Feder, L. A. Collins, C. W. Clark, and E. A. Cornell, Phys. Rev. Lett. 86, 2926 (2001). 10.1103/PhysRevLett.86.2926
11. N. S. Ginsberg, J. Brand, and L. V. Hau, Phys. Rev. Lett. 94, 040403 (2005). 10.1103/PhysRevLett.94.040403
12. B. Jackson, N. P. Proukakis, and C. F. Barenghi, Phys. Rev. A 75, 051601 (R) (2007). 10.1103/PhysRevA.75.051601
13. F. Dalfovo, S. Giorgini, L. P. Pitaevskii, and S. Stringari, Rev. Mod. Phys. 71, 463 (1999). 10.1103/RevModPhys.71.463
14. J. Dziarmaga, Z. P. Karkuszewski, and K. Sacha, J. Phys. B 36, 1217 (2003). 10.1088/0953-4075/36/6/311
15. J. Dziarmaga and K. Sacha, J. Phys. B 39, 57 (2006). 10.1088/0953-4075/ 39/1/007
16. J. Dziarmaga, Phys. Rev. A 70, 063616 (2004). 10.1103/PhysRevA.70.063616
17. R. V. Mishmash and L. D. Carr, Phys. Rev. Lett. 103, 140403 (2009). 10.1103/PhysRevLett.103.140403
18. G. Vidal, Phys. Rev. Lett. 93, 040502 (2004). 10.1103/PhysRevLett.93. 040502
19. M. Lewenstein, A. Sanpera, V. Ahufinger, B. Damski, A. Sen, and U. Sen, Adv. Phys. 56, 243 (2007). 10.1080/00018730701223200
20. I. Bloch, J. Dalibard, and W. Zwerger, Rev. Mod. Phys. 80, 885 (2008). 10.1103/RevModPhys.80.885
21. M. P. A. Fisher, P. B. Weichman, G. Grinstein, and D. S. Fisher, Phys. Rev. B 40, 546 (1989). 10.1103/PhysRevB.40.546
22. R. Kanamoto, L. D. Carr, and M. Ueda, Phys. Rev. Lett. 100, 060401 (2008). 10.1103/PhysRevLett.100.060401
23. R. Kanamoto, L. D. Carr, and M. Ueda, Phys. Rev. A 79, 063616 (2009). 10.1103/PhysRevA.79.063616
24. R. Kanamoto, L. D. Carr, and M. Ueda, e-print arXiv:0910.2805.
25. M. Greiner, O. Mandel, T. Esslinger, T. W. Hänsch, and I. Bloch, Nature (London) 415, 39 (2002). 10.1038/415039a
26. D. Jaksch, C. Bruder, J. I. Cirac, C. W. Gardiner, and P. Zoller, Phys. Rev. Lett. 81, 3108 (1998). 10.1103/PhysRevLett.81.3108
27. T. Tsuzuki, J. Low Temp. Phys. 4, 441 (1971). 10.1007/BF00628744
28. V. E. Zakharov and A. B. Shabat, Zh. Eksp. Teor. Fiz. 61, 118 (1971)
29. [V. E. Zakharov and A. B. Shabat, Sov. Phys. JETP 34, 62 (1972)].
30. V. E. Zakharov and A. B. Shabat, Zh. Eksp. Teor. Fiz. 64, 1627 (1973)
31. [V. E. Zakharov and A. B. Shabat, Sov. Phys. JETP 37, 823 (1973)].
32. K. E. Strecker, G. B. Partridge, A. G. Truscott, and R. H. Hulet, Nature (London) 417, 150 (2002). 10.1038/nature747
33. L. Khaykovich, F. Schreck, G. Ferrari, T. Bourdel, J. Cubizolles, L. D. Carr, Y. Castin, and C. Salomon, Science 296, 1290 (2002). 10.1126/science. 1071021
34. J. C. Bronski, L. D. Carr, B. Deconinck, and J. N. Kutz, Phys. Rev. Lett. 86, 1402 (2001). 10.1103/PhysRevLett.86.1402
35. P. J. Y. Louis, E. A. Ostrovskaya, C. M. Savage, and Y. S. Kivshar, Phys. Rev. A 67, 013602 (2003). 10.1103/PhysRevA.67.013602
36. N. K. Efremidis and D. N. Christodoulides, Phys. Rev. A 67, 063608 (2003). 10.1103/PhysRevA.67.063608
37. A. Trombettoni and A. Smerzi, Phys. Rev. Lett. 86, 2353 (2001). 10.1103/PhysRevLett.86.2353
38. Y. S. Kivshar, W. Królikowski, and O. A. Chubykalo, Phys. Rev. E 50, 5020 (1994). 10.1103/PhysRevE.50.5020
39. M. Johansson and Y. S. Kivshar, Phys. Rev. Lett. 82, 85 (1999). 10.1103/PhysRevLett.82.85
40. P. G. Kevrekidis, R. Carretero-González, G. Theocharis, D. J. Frantzeskakis, and B. A. Malomed, Phys. Rev. A 68, 035602 (2003). 10.1103/PhysRevA.68.035602
41. B. Eiermann, T. Anker, M. Albiez, M. Taglieber, P. Treutlein, K. P. Marzlin, and M. K. Oberthaler, Phys. Rev. Lett. 92, 230401 (2004). 10.1103/PhysRevLett.92.230401
42. L. Amico and V. Penna, Phys. Rev. Lett. 80, 2189 (1998). 10.1103/PhysRevLett.80.2189
43. J. Dziarmaga, Z. P. Karkuszewski, and K. Sacha, Phys. Rev. A 66, 043615 (2002). 10.1103/PhysRevA.66.043615
44. J. Dziarmaga and K. Sacha, Phys. Rev. A 66, 043620 (2002). 10.1103/PhysRevA.66.043620
45. C. K. Law, Phys. Rev. A 68, 015602 (2003). 10.1103/PhysRevA.68.015602
46. A. C. Scott, J. C. Eilbeck, and H. Gilhoj, Physica D 78, 194 (1994). 10.1016/0167-2789(94)90115-5
47. Y. Lai and H. A. Haus, Phys. Rev. A 40, 844 (1989). 10.1103/PhysRevA.40. 844
48. R. V. Mishmash and L. D. Carr, e-print arXiv:0810.2593, Math. Comput. Simul. (in press).
49. G. Vidal, Phys. Rev. Lett. 91, 147902 (2003). 10.1103/PhysRevLett.91. 147902
50. R. V. Mishmash, M.S. thesis, Colorado School of Mines, 2008.
51. D. T. Pegg and S. M. Barnett, Phys. Rev. A 39, 1665 (1989). 10.1103/PhysRevA.39.1665
52. A. Einstein, B. Podolsky, and N. Rosen, Phys. Rev. 47, 777 (1935). 10.1103/PhysRev.47.777
53. G. K. Brennen, Quantum Inf. Comput. 3, 619 (2003).
54. H. Barnum, E. Knill, G. Ortiz, and L. Viola, Phys. Rev. A 68, 032308 (2003). 10.1103/PhysRevA.68.032308
55. H. Barnum, E. Knill, G. Ortiz, R. Somma, and L. Viola, Phys. Rev. Lett. 92, 107902 (2004). 10.1103/PhysRevLett.92.107902
56. X. Hu and Z. Ye, J. Math. Phys. 47, 023502 (2006). 10.1063/1.2165794
57. C. Tsallis, J. Stat. Phys. 52, 479 (1988). 10.1007/BF01016429
58. L. D. Carr, J. Brand, S. Burger, and A. Sanpera, Phys. Rev. A 63, 051601 (R) (2001). 10.1103/PhysRevA.63.051601
59. A. J. Daley, Ph.D. thesis, Leopold-Franzens-Universität Innsbruck, 2005.
60. C. Kollath, U. Schollwöck, J. von Delft, and W. Zwerger, Phys. Rev. A 71, 053606 (2005). 10.1103/PhysRevA.71.053606
61. I. Danshita and P. Naidon, Phys. Rev. A 79, 043601 (2009). 10.1103/PhysRevA.79.043601
62. S. Burger, L. D. Carr, P. Öhberg, K. Sengstock, and A. Sanpera, Phys. Rev. A 65, 043611 (2002). 10.1103/PhysRevA.65.043611
63. T. Busch and J. R. Anglin, Phys. Rev. Lett. 84, 2298 (2000). 10.1103/PhysRevLett.84.2298
64. S. Raghavan, A. Smerzi, S. Fantoni, and S. R. Shenoy, Phys. Rev. A 59, 620 (1999). 10.1103/PhysRevA.59.620
65. R. Ichihara, I. Danshita, and T. Nikuni, Phys. Rev. A 78, 063604 (2008). 10.1103/PhysRevA.78.063604
66. B. Schmidt and M. Fleischhauer, Phys. Rev. A 75, 021601 (R) (2007). 10.1103/PhysRevA.75.021601
67. D. Muth, B. Schmidt, and M. Fleischhauer, e-print arXiv:0910.1749.
68. T. Stöferle, H. Moritz, C. Schori, M. Köhl, and T. Esslinger, Phys. Rev. Lett. 92, 130403 (2004). 10.1103/PhysRevLett.92.130403
69. C. D. Fertig, K. M. O'Hara, J. H. Huckans, S. L. Rolston, W. D. Phillips, and J. V. Porto, Phys. Rev. Lett. 94, 120403 (2005). 10.1103/PhysRevLett.94. 120403
70. E. Altman, E. Demler, and M. D. Lukin, Phys. Rev. A 70, 013603 (2004). 10.1103/PhysRevA.70.013603
71. D. M. Gangardt and A. Kamenev, e-print arXiv:0908.4513.
72. B. Damski and W. H. Zurek, e-print arXiv:0909.0761.
73. A. D. Martin and J. Ruostekoski, e-print arXiv:0909.2621.
74. http://physics.mines.edu/downloads/software/tebd/