Anderson localization of a Tonks-Girardeau gas in potentials with controlled disorder

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 81, Issue 6, 2010, Pages

  Radic J ^a   Bacic V ^a   Jukic D ^a   Segev, M ^b   Buljan, H ^a  

^a UNIVERSITY OF ZAGREB   (Croatia)

^b TECHNION ISRAEL INSTITUTE OF TECHNOLOGY   (Israel)

Author keywords

[No Author keywords available]

Indexed keywords

ANDERSON LOCALIZATION; ONE-DIMENSIONAL POTENTIAL; OPTICAL SOLITON; SINGLE-PARTICLE; STEADY STATE; TONKS-GIRARDEAU GAS;

SOLITONS;

WAVE PACKETS;

EID: 77954182724     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.81.063639     Document Type: Article

References (49)

1. P. W. Anderson, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.109.1492 109, 1492 (1958).
2. D. S. Wiersma, P. Bartolini, A. Lagendijk, and R. Righini, Nature NATUAS 0028-0836 10.1038/37757 390, 671 (1997).
3. A. A. Chabanov, M. Stoytchev, and A. Z. Genack, Nature NATUAS 0028-0836 10.1038/35009055 404, 850 (2000).
4. M. Störzer, P. Gross, C. M. Aegerter, and G. Maret, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.96.063904 96, 063904 (2006).
5. T. Schwartz, G. Bartal, S. Fishman, and M. Segev, Nature NATUAS 0028-0836 10.1038/nature05623 446, 52 (2007).
6. Y. Lahini, A. Avidan, F. Pozzi, M. Sorel, R. Morandotti, D. N. Christodoulides, and Y. Silberberg, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.100.013906 100, 013906 (2008).
7. J. Billy, V. Josse, Z. Zuo, A. Bernard, B. Hambrecht, P. Lugan, D. Clement, L. Sanchez-Palencia, P. Bouyer, and A. Aspect, Nature NATUAS 0028-0836 10.1038/nature07000 453, 891 (2008).
8. G. Roati, C. D'Errico, L. Fallani, M. Fattori, C. Fort, M. Zaccanti, G. Modugno, M. Modugno, and M. Inguscio, Nature NATUAS 0028-0836 10.1038/nature07071 453, 895 (2008).
9. L. Sanchez-Palencia and M. Lewenstein, Nature Phys. NATUAS 1745-2473 10.1038/nphys1507 6, 87 (2010).
10. M. Girardeau, J. Math. Phys. JMAPAQ 0022-2488 10.1063/1.1703687 1, 516 (1960).
11. M. D. Girardeau and E. M. Wright, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.84.5691 84, 5691 (2000).
12. M. Olshanii, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.81.938 81, 938 (1998).
13. D. S. Petrov, G. V. Shlyapnikov, and J. T. M. Walraven, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.85.3745 85, 3745 (2000).
14. V. Dunjko, V. Lorent, and M. Olshanii, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.86.5413 86, 5413 (2001).
15. T. Kinoshita, T. Wenger, and D. S. Weiss, Science SCIEAS 0036-8075 10.1126/science.1100700 305, 1125 (2004).
16. B. Paredes, A. Widera, V. Murg, O. Mandel, S. Fölling, I. Cirac, G. V. Shlyapnikov, T. W. Hänsch, and I. Bloch, Nature (London) NATUAS 0028-0836 10.1038/nature02530 429, 277 (2004).
17. T. Kinoshita, T. Wenger, and D. S. Weiss, Nature (London) NATUAS 0028-0836 10.1038/nature04693 440, 900 (2006).
18. A. Lenard, J. Math. Phys. JMAPAQ 0022-2488 10.1063/1.1704196 5, 930 (1964).
19. P. J. Forrester, N. E. Frankel, T. M. Garoni, and N. S. Witte, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.67.043607 67, 043607 (2003);
20. T. Papenbrock, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.67.041601 67, 041601 (R) (2003).
21. M. Rigol and A. Muramatsu, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.94.240403 94, 240403 (2005).
22. A. Minguzzi and D. M. Gangardt, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.94.240404 94, 240404 (2005).
23. A. del Campo and J. G. Muga, Europhys. Lett. EULEEJ 0295-5075 10.1209/epl/i2006-10061-5 74, 965 (2006).
24. D. M. Gangardt and M. Pustilnik, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.77.041604 77, 041604 (R) (2008).
25. B. Damski, J. Zakrzewski, L. Santos, P. Zoller, and M. Lewenstein, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.91.080403 91, 080403 (2003).
26. R. Roth and K. Burnett, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.68.023604 68, 023604 (2003).
27. L. Sanchez-Palencia, D. Clement, P. Lugan, P. Bouyer, G. V. Shlyapnikov, and A. Aspect, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.98.210401 98, 210401 (2007).
28. T. Giamarchi and H. J. Schulz, Phys. Rev. B PRLTAO 1098-0121 10.1103/PhysRevB.37.325 37, 325 (1988).
29. M. P. A. Fisher, P. B. Weichman, G. Grinstein, and D. S. Fisher, Phys. Rev. B PRLTAO 1098-0121 10.1103/PhysRevB.40.546 40, 546 (1989).
30. H. Gimperlein, S. Wessel, J. Schmiedmayer, and L. Santos, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.95.170401 95, 170401 (2005).
31. A. De Martino, M. Thorwart, R. Egger, and R. Graham, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.94.060402 94, 060402 (2005).
32. V. W. Scarola and S. Das Sarma, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.73.041609 73, 041609 (R) (2006).
33. A. M. Rey, I. I. Satija, and C. W. Clark, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.73.063610 73, 063610 (2006).
34. B. Horstmann, J. I. Cirac, and T. Roscilde, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.76.043625 76, 043625 (2007).
35. G. Roux, T. Barthel, I. P. McCulloch, C. Kollath, U. Schollwöck, and T. Giamarchi, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.78.023628 78, 023628 (2008).
36. X. Deng, R. Citro, A. Minguzzi, and E. Orignac, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.78.013625 78, 013625 (2008).
37. T. Roscilde, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.77.063605 77, 063605 (2008).
38. G. Orso, A. Iucci, M. A. Cazalilla, and T. Giamarchi, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.80.033625 80, 033625 (2009).
39. M. Rigol and A. Muramatsu, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.72.013604 72, 013604 (2005);
40. M. Rigol and A. Muramatsu, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.70.031603 70, 031603 (2004).
41. M. Mitchell, M. Segev, T. H. Coskun, and D. N. Christodoulides, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.79.4990 79, 4990 (1997);
42. M. I. Carvalho, T. H. Coskun, D. N. Christodoulides, M. Mitchell, and M. Segev, Phys. Rev. E PRLTAO 1539-3755 10.1103/PhysRevE.59.1193 59, 1193 (1999);
43. H. Buljan, T. Schwartz, M. Segev, M. Soljačić, and D. N. Christodoulides, J. Opt. Soc. Am. B JOBPDE 0740-3224 10.1364/JOSAB.21.000397 21, 397 (2004).
44. H. Buljan, O. Manela, R. Pezer, A. Vardi, and M. Segev, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.74.043610 74, 043610 (2006).
45. R. Pezer and H. Buljan, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.98.240403 98, 240403 (2007).
46. P. Lugan, A. Aspect, L. Sanchez-Palencia, D. Delande, B. Gremaud, C. A. Müller, and C. Miniatura, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.80.023605 80, 023605 (2009); when this work was submitted, we became aware of a paper by
47. E. Gurevich and O. Kenneth, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.79.063617 79, 063617 (2009) which also analyzes Lyapunov exponents for the laser speckle potential by using perturbation theory (and numerics).
48. M. Naraschewski and R. J. Glauber, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.59.4595 59, 4595 (1999).
49. L. Mandel and E. Wolf, Optical Coherence and Quantum Optics (Cambridge University Press, New York, 1995).