Exact results for one-dimensional disordered bosons with strong repulsion

Physical Review Letters

Volumn 94, Issue 6, 2005, Pages

  De Martino, A ^a   Thorwart, M ^a   Egger, R ^a   Graham, R ^b  

^a HEINRICH HEINE UNIVERSITY   (Germany)

^b UNIVERSITY OF DUISBURG ESSEN   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

ATOMIC GASES; BOSE-FERMI MAPPING; DENSITY OF STATES; MOMENTUM DISTRIBUTIONS;

CORRELATION METHODS; EIGENVALUES AND EIGENFUNCTIONS; FERMIONS; FUNCTIONS; HARMONIC ANALYSIS; MATHEMATICAL MODELS; PARAMETER ESTIMATION; SUPERCONDUCTING MATERIALS;

QUANTUM THEORY;

EID: 18144431357     PISSN: 00319007     EISSN: 10797114     Source Type: Journal    
DOI: 10.1103/PhysRevLett.94.060402     Document Type: Article

References (43)

1. M. P. A. Fisher, P. B. Weichman, G. Grinstein, and D. S. Fisher, Phys. Rev. B 40, 546 (1989).
2. D. Jaksch, C. Bruder, J. I. Cirac, C. W. Gardiner, and P. Zoller, Phys. Rev. Lett. 81, 3108 (1998).
3. M. Greiner, O. Mandel, T. Esslinger, T. W. Hänsch, and I. Bloch, Nature (London) 415, 39 (2002).
4. P. Horak, J.-Y. Courtois, and G. Grynberg, Phys. Rev. A 58, 3953 (2000).
5. A. Sanpera, A. Kantian, L. Sanchez-Palencia, J. Zakrzewski, and M. Lewenstein, Phys. Rev. Lett. 93, 040401 (2004).
6. B. Damski, J. Zakrzewski, L. Santos, P. Zoller, and M. Lewenstein, Phys. Rev. Lett. 91, 080403 (2003).
7. R. Folman, P. Krüger, J. Schmiedmayer, J. Denschlag, and C. Henkel, Adv. At. Mol. Opt. Phys. 48, 263 (2002).
8. L. Zhang and M. Ma, Phys. Rev. B 45, 4855 (1992).
9. R. T. Scalettar, G. G. Batrouni, and G. T. Zimanyi, Phys. Rev. Lett. 66, 3144 (1991).
10. K. G. Singh and D. S. Rokhsar, Phys. Rev. B 46, 3002 (1992).
11. A. V. Lopatin and V. M. Vinokur, Phys. Rev. Lett. 88, 235503 (2002).
12. N. Prokof'ev and B. Svistunov, Phys. Rev. Lett. 92, 015703 (2004).
13. T. Giamarchi and H. J. Schulz, Europhys. Lett. 3, 1287 (1987); Phys. Rev. B 37, 325 (1988).
14. T. Giamarchi and H. J. Schulz, Europhys. Lett. 3, 1287 (1987); Phys. Rev. B 37, 325 (1988).
15. S. Rapsch, U. Schollwöck, and W. Zwerger, Europhys. Lett. 46, 559 (1999).
16. L. Tonks, Phys. Rev. 50, 955 (1936).
17. M. Girardeau, J. Math. Phys. (N.Y.) 1, 516 (1960).
18. E. H. Lieb and W. Liniger, Phys. Rev. 130, 1605 (1963).
19. A. Lenard, J. Math. Phys. (N.Y.) 5, 930 (1964).
20. H. G. Vaidya and C. A. Tracy, Phys. Rev. Lett. 42, 3 (1979); D. M. Gangardt, J. Phys. A 37, 9335 (2004).
21. H. G. Vaidya and C. A. Tracy, Phys. Rev. Lett. 42, 3 (1979); D. M. Gangardt, J. Phys. A 37, 9335 (2004).
22. F. D. M. Haldane, Phys. Rev. Lett. 47, 1840 (1981).
23. D. S. Petrov, G. V. Shlyapnikov, and J. T. M. Walraven, Phys. Rev. Lett. 85, 3745 (2000).
24. V. Dunjko, V. Lorent, and M. Olshanii, Phys. Rev. Lett. 86, 5413 (2001).
25. B. Paredes et al., Nature (London) 429, 277 (2004).
26. T. Kinoshita, T. Wenger, and D. S. Weiss, Science 305, 1125 (2004).
27. A. Görlitz et al., Phys. Rev. Lett. 87, 130402 (2001).
28. H. Moritz, T. Stöferle, M. Kohl, and T. Esslinger, Phys. Rev. Lett. 91, 250402 (2003).
29. I. M. Lifshits, S. A. Gredeskul, and L. A. Pastur, Introduction to the Theory of Disordered Systems (John Wiley & Sons, New York, 1988).
30. S. Richard et al., Phys. Rev. Lett. 91, 010405 (2003).
31. A. Klein and J. F. Perez, Commun. Math. Phys. 128, 99 (1990).
32. L. P. Gor'kov, O. N. Dorokhov, and F. V. Prigara, Zh. Eksp. Teor. Fiz. 84, 1440 (1983) [Sov. Phys. JETP 57, 838 (1983)]; Zh. Eksp. Teor. Fiz. 85, 1470 (1983) [Sov. Phys. JETP 58, 852 (1983)].
33. L. P. Gor'kov, O. N. Dorokhov, and F. V. Prigara, Zh. Eksp. Teor. Fiz. 84, 1440 (1983) [Sov. Phys. JETP 57, 838 (1983)]; Zh. Eksp. Teor. Fiz. 85, 1470 (1983) [Sov. Phys. JETP 58, 852 (1983)].
34. L. P. Gor'kov, O. N. Dorokhov, and F. V. Prigara, Zh. Eksp. Teor. Fiz. 84, 1440 (1983) [Sov. Phys. JETP 57, 838 (1983)]; Zh. Eksp. Teor. Fiz. 85, 1470 (1983) [Sov. Phys. JETP 58, 852 (1983)].
35. L. P. Gor'kov, O. N. Dorokhov, and F. V. Prigara, Zh. Eksp. Teor. Fiz. 84, 1440 (1983) [Sov. Phys. JETP 57, 838 (1983)]; Zh. Eksp. Teor. Fiz. 85, 1470 (1983) [Sov. Phys. JETP 58, 852 (1983)].
36. B. L. Al'tshuler and V. N. Prigodin, Zh. Eksp. Teor. Fiz. 95, 348 (1989) [Sov. Phys. JETP 68, 198 (1989)].
37. B. L. Al'tshuler and V. N. Prigodin, Zh. Eksp. Teor. Fiz. 95, 348 (1989) [Sov. Phys. JETP 68, 198 (1989)].
38. K. B. Efetov, Supersymmetry in Disorder and Chaos (Cambridge University Press, Cambridge, U.K., 1997).
39. J. Stenger et al., Phys. Rev. Lett. 82, 4569 (1999).
40. T. Stöferle, H. Moritz, C. Schori, M. Köhl, and T. Esslinger, Phys. Rev. Lett. 92, 130403 (2004).
41. E. P. Nachmedov, V. N. Prigodin, and Yu. A. Firsov, Zh. Eksp. Teor. Fiz. 92, 2133 (1987) [Sov. Phys. JETP 65, 1202 (1987)].
42. E. P. Nachmedov, V. N. Prigodin, and Yu. A. Firsov, Zh. Eksp. Teor. Fiz. 92, 2133 (1987) [Sov. Phys. JETP 65, 1202 (1987)].
43. T. Cheon and T. Shigehara, Phys. Rev. Lett. 82, 2536 (1999).