Chiral phase from three-spin interactions in an optical lattice

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 72, Issue 4, 2005, Pages

  D'Cruz, Christian ^a   Pachos, Jiannis K ^b  

^a UNIVERSITY OF LONDON   (United Kingdom)

^b UNIVERSITY OF CAMBRIDGE   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

THREE-STATE POTTS MODEL; TRIANGULAR-LADDER CONFIGURATION;

DYNAMICS; MATHEMATICAL MODELS; NUMERICAL METHODS; PARAMETER ESTIMATION;

CRYSTAL LATTICES;

EID: 28844446293     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.72.043608     Document Type: Article

References (38)

1. D. Jaksch, C. Bruder, J. I. Cirac, C. W. Gardiner, and P. Zoller, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.81.3108 81, 3108 (1998).
2. A. Kastberg, W. D. Phillips, S. L. Rolston, R. J. C. Spreeuw, and P. S. Jessen, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.74.1542 74, 1542 (1995);
3. G. Raithel, W. D. Phillips, and S. L. Rolston, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.81.3615 81, 3615 (1998).
4. M. Greiner, O. Mandel, T. Esslinger, T. W. Hänch, and I. Bloch, Nature (London) NATUAS 0028-0836 10.1038/415039a 415, 39 (2002);
5. M. Greiner, O. Mandel, T. W. Heanch, and I. Bloch, Nature (London) NATUAS 0028-0836 10.1038/nature00968 419, 51 (2002).
6. O. Mandel, M. Greiner, A. Widera, T. Rom, T. W. Heanch, and I. Bloch, Nature (London) NATUAS 0028-0836 10.1038/nature02008 425, 937 (2003).
7. I. H. Deutsch, G. K. Brennen, and P. S. Jessen, Forsch. der Phys. 48, 925 (2000).
8. D. Jaksch, Contemp. Phys. CTPHAF 0010-7514 10.1080/00107510410001705486 45, 367 (2004).
9. J. J. Garcia-Ripoll and I. J. Cirac, Philos. Trans. R. Soc. London, Ser. A PTRMAD 0962-8428 361, 1537 (2003).
10. A. Kuklov, N. Prokof'ev, and B. Svistunov, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.92.050402 92, 050402 (2004).
11. 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).
12. A. B. Kuklov and B. V. Svistunov, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.90.100401 90, 100401 (2003).
13. D. Jaksch and P. Zoller, New J. Phys. NJOPFM 1367-2630 5, 56.1 (2003).
14. L. M. Duan, E. Demler, and M. D. Lukin, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.91.090402 91, 090402 (2003).
15. J. K. Pachos and E. Rico, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.70.053620 70, 053620 (2004).
16. P. Fendley, K. Sengupta, and S. Sachdev, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.69.075106 69, 075106 (2004).
17. C. M. Dawson and M. A. Nielsen, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.69.052316 69, 052316 (2004).
18. F. Y. Wu, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.54.235 54, 235 (1982).
19. A. Kay, D. K. K. Lee, J. K. Pachos, M. B. Plenio, M. E. Reuter, and E. Rico, Opt. Spectrosc. OPSUA3 0030-400X 99, 355 (2005).
20. For a study of the corresponding classical model see F. C. Alcaraz and J. C. Xavier, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/32/11/002 32, 2041 (1999);
21. D. W. Wood and H. P. Griffiths, J. Phys. C JPSOAW 0022-3719 10.1088/0022-3719/5/18/001 5, L253 (1972).
22. K. A. Penson, R. Jullien, and P. Pfeuty, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.26.6334 26, R 6334 (1982);
23. K. A. Penson, J. M. Debierre, and L. Turban, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.37.7884 37, 7884 (1988).
24. F. Igloi, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/20/15/043 20, 5319 (1987);
25. F. Igloi, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.40.2362 40, 2362 (1989);
26. J. C. Angles d'Auriac and F. Igloi, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.58.241 58, 241 (1998).
27. Loïc Turban, J. Phys. C JPSOAW 0022-3719 10.1088/0022-3719/15/4/006 15, 65 (1982);
28. K. A. Penson, R. Jullien, and P. Pfeuty, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.26.6334 26, R6334 (1982).
29. N. Goldenfield, Lectures on Phase Transitions and the Renormilisation Group (Addison-Wesley, Reading, MA, 1992).
30. J. I. Latorre, E. Rico, and G. Vidal, Quantum Inf. Comput. QICUAW 1533-7146 10.1103/PhysRevLett.90.227902 4, 48 (2004).
31. S. Sachdev, Quantum Phase Transitions (Cambridge University Press, Cambridge, UK, 2001).
32. S. Ostlund, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.24.398 24, 398 (1981).
33. D. A. Huse and M. E. Fisher, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.49.793 49, 793 (1982).
34. R. J. Baxter, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/13/3/007 13, L61 (1980);
35. R. J. Baxter, J. Stat. Phys. JSTPBS 0022-4715 10.1007/BF01011427 26, 427 (1981).
36. J. L. Cardy, Nucl. Phys. B NUPBBO 0550-3213 10.1016/0550-3213(93)90353-Q 389, 577 (1993).
37. W. Zhuo, X. Wang, and Y. Wang, cond-mat/0501693 (unpublished).
38. J. P. Grondalski, P. M. Alsing, and I. H. Deutsch, Opt. Express OPEXFF 1094-4087 5, 249 (1999).