Adiabatic path to fractional quantum Hall states of a few bosonic atoms

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 70, Issue 5 B, 2004, Pages

  Popp, M ^a   Paredes, B ^a   Cirac, J I ^a  

^a MAX PLANCK INSTITUT FÜR QUANTENOPTIK   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

CORRELATION METHODS; DEFORMATION; DEGREES OF FREEDOM (MECHANICS); FREQUENCIES; GAS CONDENSATES; HALL EFFECT; LATTICE CONSTANTS; OSCILLATIONS; PARAMETER ESTIMATION; PROBLEM SOLVING;

ADIABATIC PATH; BOSONIC ATOMS; QUANTUM HALL STATES; TRAPPED IONS;

QUANTUM THEORY;

EID: 42749104844     PISSN: 10502947     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevA.70.053612     Document Type: Article

References (30)

1. C. A. Sackett, D. Kielpinski, B. E. King, C. Langer, V. Meyer, C. J. Myatt, M. Rowe, Q. A. Turchette, W. M. Itano, D. J. Wienland, and C. Monroe, Nature (London) 404, 256 (2000).
2. O. Mandel, M. Greiner, A. Widera, T. Rom, T. W. Hänsch, and I. Bloch, Nature (London) 425, 937 (2003).
3. M. Greiner, O. Mandel, T. Esslinger, T. W. Hänsch, and I. Bloch, Nature (London) 415, 39 (2002).
4. H. Moritz, T. Stöferle, M. Köhl, and T. Esslinger, Phys. Rev. Lett. 91, 250402 (2003); T. Stöferle, H. Moritz, C. Schori, M. Köhl, and T. Esslinger, Phys. Rev. Lett. 92, 130403 (2004).
5. H. Moritz, T. Stöferle, M. Köhl, and T. Esslinger, Phys. Rev. Lett. 91, 250402 (2003); T. Stöferle, H. Moritz, C. Schori, M. Köhl, and T. Esslinger, Phys. Rev. Lett. 92, 130403 (2004).
6. S. Peil, J. V. Porto, B. L. Tolra, J. M. Obrecht, B. E. King, M. Subbotin, S. L. Rolston, and W. D. Phillips, Phys. Rev. A 67, 051603 (2003).
7. T. Chakraborty, P. Pietiläinen, The Quantum Hall Effects: Fractional and Integral (Springer, Berlin, 1995); A. H. MacDonald, e-print cond-mat/9410047.
8. T. Chakraborty, P. Pietiläinen, The Quantum Hall Effects: Fractional and Integral (Springer, Berlin, 1995); A. H. MacDonald, e-print cond-mat/9410047.
9. N. K. Wilkin and J. M. F. Gunn, Phys. Rev. Lett. 84, 6 (2000); N. K. Wilkin and J. M. F. Gunn, ibid. 87, 120405 (2001); J. Sinova, C. B. Hanna, and A. H. MacDonald, ibid. 89, 030403 (2002); T.-L. Ho and E. Mueller, ibid. 89, 050401 (2002); N. Regnault, and Th. Jolicoeur, ibid. 91, 030402 (2003); T. K. Ghosh and G. Baskaran, Phys. Rev. A 69, 023603 (2004); M. A. Baranov, K. Osterloch, and M. Lewenstein, e-print cond-mat/0404329.
10. N. K. Wilkin and J. M. F. Gunn, Phys. Rev. Lett. 84, 6 (2000); N. K. Wilkin and J. M. F. Gunn, ibid. 87, 120405 (2001); J. Sinova, C. B. Hanna, and A. H. MacDonald, ibid. 89, 030403 (2002); T.-L. Ho and E. Mueller, ibid. 89, 050401 (2002); N. Regnault, and Th. Jolicoeur, ibid. 91, 030402 (2003); T. K. Ghosh and G. Baskaran, Phys. Rev. A 69, 023603 (2004); M. A. Baranov, K. Osterloch, and M. Lewenstein, e-print cond-mat/0404329.
11. N. K. Wilkin and J. M. F. Gunn, Phys. Rev. Lett. 84, 6 (2000); N. K. Wilkin and J. M. F. Gunn, ibid. 87, 120405 (2001); J. Sinova, C. B. Hanna, and A. H. MacDonald, ibid. 89, 030403 (2002); T.-L. Ho and E. Mueller, ibid. 89, 050401 (2002); N. Regnault, and Th. Jolicoeur, ibid. 91, 030402 (2003); T. K. Ghosh and G. Baskaran, Phys. Rev. A 69, 023603 (2004); M. A. Baranov, K. Osterloch, and M. Lewenstein, e-print cond-mat/0404329.
12. N. K. Wilkin and J. M. F. Gunn, Phys. Rev. Lett. 84, 6 (2000); N. K. Wilkin and J. M. F. Gunn, ibid. 87, 120405 (2001); J. Sinova, C. B. Hanna, and A. H. MacDonald, ibid. 89, 030403 (2002); T.-L. Ho and E. Mueller, ibid. 89, 050401 (2002); N. Regnault, and Th. Jolicoeur, ibid. 91, 030402 (2003); T. K. Ghosh and G. Baskaran, Phys. Rev. A 69, 023603 (2004); M. A. Baranov, K. Osterloch, and M. Lewenstein, e-print cond-mat/0404329.
13. N. K. Wilkin and J. M. F. Gunn, Phys. Rev. Lett. 84, 6 (2000); N. K. Wilkin and J. M. F. Gunn, ibid. 87, 120405 (2001); J. Sinova, C. B. Hanna, and A. H. MacDonald, ibid. 89, 030403 (2002); T.-L. Ho and E. Mueller, ibid. 89, 050401 (2002); N. Regnault, and Th. Jolicoeur, ibid. 91, 030402 (2003); T. K. Ghosh and G. Baskaran, Phys. Rev. A 69, 023603 (2004); M. A. Baranov, K. Osterloch, and M. Lewenstein, e-print cond-mat/0404329.
14. N. K. Wilkin and J. M. F. Gunn, Phys. Rev. Lett. 84, 6 (2000); N. K. Wilkin and J. M. F. Gunn, ibid. 87, 120405 (2001); J. Sinova, C. B. Hanna, and A. H. MacDonald, ibid. 89, 030403 (2002); T.-L. Ho and E. Mueller, ibid. 89, 050401 (2002); N. Regnault, and Th. Jolicoeur, ibid. 91, 030402 (2003); T. K. Ghosh and G. Baskaran, Phys. Rev. A 69, 023603 (2004); M. A. Baranov, K. Osterloch, and M. Lewenstein, e-print cond-mat/0404329.
15. N. K. Wilkin and J. M. F. Gunn, Phys. Rev. Lett. 84, 6 (2000); N. K. Wilkin and J. M. F. Gunn, ibid. 87, 120405 (2001); J. Sinova, C. B. Hanna, and A. H. MacDonald, ibid. 89, 030403 (2002); T.-L. Ho and E. Mueller, ibid. 89, 050401 (2002); N. Regnault, and Th. Jolicoeur, ibid. 91, 030402 (2003); T. K. Ghosh and G. Baskaran, Phys. Rev. A 69, 023603 (2004); M. A. Baranov, K. Osterloch, and M. Lewenstein, e-print cond-mat/0404329.
16. B. Paredes, P. Fedichev, J. I. Cirac, and P. Zoller, Phys. Rev. Lett. 87, 010402 (2001); B. Paredes, P. Zoller, and J. I. Cirac, Phys. Rev. A 66, 033609 (2002).
17. B. Paredes, P. Fedichev, J. I. Cirac, and P. Zoller, Phys. Rev. Lett. 87, 010402 (2001); B. Paredes, P. Zoller, and J. I. Cirac, Phys. Rev. A 66, 033609 (2002).
18. M. Greiner and I. Bloch (private communication).
19. G. Moore and N. Read, Nucl. Phys. B 360, 362 (1991).
20. R. B. Laughlin, Phys. Rev. Lett. 50, 1395 (1983).
21. A. Widera, O. Mandel, M. Greiner, S. Kreim, T. W. Hänsch, and I. Bloch, Phys. Rev. Lett. 92, 160406 (2004).
22. Typically the filling factor N is not homogeneous, because the Gaussian intensity profile of the laser beams results in an additional weak harmonic confinement of the atoms. However, it has been demonstrated that commensurate filling (at the cost of empty sites) can be achieved using an entanglement interferometer [12].
23. M. Popp, B. Paredes, and I. Cirac (unpublished).
24. A. Yu. Kitaev, e-print quant-ph/9707021.
25. C. H. Bennett, H. J. Bernstein, S. Popescu, and B. Schumacher, Phys. Rev. A 53, 2046 (1996).
26. V. Bretin, S. Stock, Y. Seurin, and J. Dalibard, Phys. Rev. Lett. 92, 050403 (2004).
27. V. Schweikhard, I. Coddington, P. Engels, V. P. Mogendorff, and E. A. Cornell, Phys. Rev. Lett. 92, 040404 (2004).
28. N. Read and N. R. Cooper, e-print cond-mat/0306378.
29. D. Jaksch, J. I. Cirac, P. Zoller, S. L. Rolston, R. Côté, and M. D. Lukin, Phys. Rev. Lett. 85 2208 (2000).
30. J. Stenger, S. Inouye, M. R. Andrews, H.-J. Miesner, D. M. Stamper-Kurn, and W. Ketterle, Phys. Rev. Lett. 82, 2422 (1999).