Low-energy effective theory for one-dimensional lattice bosons near integer filling

Physical Review B - Condensed Matter and Materials Physics

Volumn 76, Issue 7, 2007, Pages

  Lee, Yu Wen ^a   Lee, Yu Li ^b   Yang, Min Fong ^a  

^a TUNGHAI UNIVERSITY   (Taiwan)

^b NATIONAL CHANGHUA UNIVERSITY OF EDUCATION   (Taiwan)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 34548047911     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.76.075117     Document Type: Article

References (37)

1. 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).
2. T. Kinoshita, T. Wenger, and D. S. Weiss, Science SCIEAS 0036-8075 10.1126/science.1100700 305, 1125 (2004).
3. T. Stöferle, H. Moritz, C. Schori, M. Köhl, and T. Esslinger, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.92.130403 92, 130403 (2004).
4. C. D. Fertig, K. M. O'Hara, J. H. Huckans, S. L. Rolston, W. D. Phillips, and J. V. Porto, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.94. 120403 94, 120403 (2005).
5. A. Griesmaier, J. Werner, S. Hensler, J. Stuhler, and T. Pfau, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.94.160401 94, 160401 (2005);
6. A. Griesmaier, J. Stuhler, T. Koch, M. Fattori, T. Pfau, and S. Giovanazzi, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.97.250402 97, 250402 (2006).
7. Ultracold Polar Molecules: Formation and Collisions, special issue of Eur. Phys. J. D EPJDF6 1434-6060 31 (2004).
8. K. Goral, L. Santos, and M. Lewenstein, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.88.170406 88, 170406 (2002).
9. D. L. Kovrizhin, G. V. Pai, and S. Sinha, Europhys. Lett. EULEEJ 0295-5075 10.1209/epl/i2005-10231-y 72, 162 (2005).
10. E. G. Dalla Torre, E. Berg, and E. Altman, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.97.260401 97, 260401 (2006).
11. F. D. M. Haldane, Phys. Lett. PYLAAG 0375-9601 10.1016/0375-9601(83) 90631-X 93A, 464 (1983);
12. F. D. M. Haldane, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett. 50.1153 50, 1153 (1983).
13. G. G. Batrouni, F. Hébert, and R. T. Scalettar, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.97.087209 97, 087209 (2006).
14. A. Kitaev, Ann. Phys. (N.Y.) APNYA6 0003-4916 10.1016/S0003-4916(02) 00018-0 303, 2 (2003);
15. M. H. Freedman, M. J. Larsen, and Z. Wang, Commun. Math. Phys. CMPHAY 0010-3616 10.1007/s002200200645 227, 605 (2002).
16. A. Kitaev, Ann. Phys. (N.Y.) APNYA6 0003-4916 10.1016/j.aop.2005.10.005 321, 2 (2006).
17. S. Das Sarma, M. H. Freedman, and C. Nayak, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.94.166802 94, 166802 (2005);
18. A. Stern and B. I. Halperin, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.96.016802 96, 016802 (2006);
19. P. Bonderson, A. Kitaev, and K. Shtengel, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.96.016803 96, 016803 (2006).
20. B. Paredes, T. Keilmann, and J. I. Cirac, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.75.053611 75, 053611 (2007).
21. F. D. M. Haldane, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett. 47.1840 47, 1840 (1981).
22. T. Giamarchi, Quantum Physics in One Dimension (Oxford University Press, New York, 2004).
23. E. Altman and A. Auerbach, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.89.250404 89, 250404 (2002).
24. S. D. Huber, E. Altman, H. P. Büchler, and G. Blatter, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.75.085106 75, 085106 (2007).
25. H. J. Schulz, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.34.6372 34, 6372 (1986).
26. J. Sólyom and J. Timonen, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.34.487 34, 487 (1986).
27. A. M. Tsvelik, Quantum Field Theory in Condensed Matter Physics, 2nd ed. (Cambridge University Press, Cambridge, 2003).
28. J. M. Kosterlitz and D. J. Thouless, J. Phys. C JPSOAW 0022-3719 10.1088/0022-3719/6/7/010 6, 1181 (1973);
29. J. M. Kosterlitz and D. J. Thouless, J. Phys. C JPSOAW 0022-3719 10.1088/0022-3719/7/6/005 7, 1046 (1974).
30. The derivation of this form has some subtle aspects, which are mainly attributable to the continuous-field (coarse grained) scheme. M. Nakamura [Physica B PHYBE3 0921-4526 329-333, 1000 (2003)] has resolved such an ambiguity of the bosonized expressions using a symmetry cleverly.
31. Realizations of the three-body contact interactions and exotic quantum Hall states (including the bosonic nonabelian Pfaffian state) in a three-dimensional rapidly rotating Bose condensate are discussed in N. R. Cooper, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.92.220405 92, 220405 (2004).
32. P. Donohue and T. Giamarchi, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.63.180508 63, 180508 (R) (2001).
33. T. Stoferle, H. Moritz, C. Schori, M. Kohl, and T. Esslinger, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.92.130403 92, 130403 (2004).
34. M. A. Cazalilla, A. F. Ho, and T. Giamarchi, New J. Phys. NJOPFM 1367-2630 10.1088/1367-2630/8/8/158 8, 158 (2006).
35. L. Mathey, A. Polkovnikov, and A. H. Castro Neto, arXiv:cond-mat/0612174 (unpublished).
36. Yu-Wen Lee and Yu-Li Lee, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.73.043606 73, 043606 (2006).
37. Yu-Wen Lee (unpublished).