Density-dependent synthetic gauge fields using periodically modulated interactions

Physical Review Letters

Volumn 113, Issue 21, 2014, Pages

  Greschner, S ^a   Sun, G ^a   Poletti, D ^b,c   Santos, L ^a  

^a LEIBNIZ UNIVERSITY HANNOVER   (Germany)

^b SINGAPORE UNIVERSITY OF TECHNOLOGY AND DESIGN   (Singapore)

^c NATIONAL UNIVERSITY OF SINGAPORE   (Singapore)

Author keywords

[No Author keywords available]

Indexed keywords

OPTICAL LATTICES;

DENSITY-DEPENDENT; GAUGE FIELDS; MOMENTUM DISTRIBUTIONS; MOTT INSULATORS; MOTT-INSULATOR TRANSITION; SPIN-DEPENDENT OPTICAL LATTICE; SUBLATTICE SYMMETRY;

GAGES;

EID: 84915750688     PISSN: 00319007     EISSN: 10797114     Source Type: Journal    
DOI: 10.1103/PhysRevLett.113.215303     Document Type: Article

References (53)

1. J. Dalibard, F. Gerbier, G. Juzeliunas, and P. Öhberg, Rev. Mod. Phys. 83, 1523 (2011). RMPHAT 0034-6861 10.1103/RevModPhys.83.1523
2. N. Goldman, G. Juzeliunas, P. Öhberg, and I.B. Spielman, arXiv:1308.6533
3. Y.J. Lin, R. Compton, A. Perry, W. Phillips, J. Porto, and I. Spielman, Phys. Rev. Lett. 102, 130401 (2009). PRLTAO 0031-9007 10.1103/PhysRevLett.102.130401
4. Y.J. Lin, R.L. Compton, K. Jiménez-García, J.V. Porto, and I.B. Spielman, Nature (London) 462, 628 (2009). NATUAS 0028-0836 10.1038/nature08609
5. Y.J. Lin, R.L. Compton, K. Jiménez-García, W.D. Phillips, J.V. Porto, and I.B. Spielman, Nat. Phys. 7, 531 (2011). NPAHAX 1745-2473 10.1038/nphys1954
6. Y.J. Lin, K. Jiménez-García, and I.B. Spielman, Nat. Phys. 471, 83 (2011). NPAHAX 1745-2473 10.1038/nature09887
7. P. Wang, Zeng-Qiang Yu, Z. Fu, J. Miao, L. Huang, S. Chai, H. Zhai, and J. Zhang, Phys. Rev. Lett. 109, 095301 (2012). PRLTAO 0031-9007 10.1103/PhysRevLett.109.095301
8. L.W. Cheuk, A.T. Sommer, Z. Hadzibabic, T. Yefsah, W.S. Bakr, and M.W. Zwierlein, Phys. Rev. Lett. 109, 095302 (2012). PRLTAO 0031-9007 10.1103/PhysRevLett.109.095302
9. J.Y. Zhang, Phys. Rev. Lett. 109, 115301 (2012). PRLTAO 0031-9007 10.1103/PhysRevLett.109.115301
10. Z. Fu, L. Huang, Z. Meng, P. Wang, L. Zhang, S. Zhang, H. Zhai, P. Zhang, and J. Zhang Nat. Phys. 10, 110 (2014). NPAHAX 1745-2473 10.1038/nphys2824
11. L. Zhang, Jin-Yi Zhang, Si-Cong Ji, Zhi-Dong Du, H. Zhai, Y. Deng, S. Chen, P. Zhang, and Jian-Wei Pan, Phys. Rev. A 87, 011601(R) (2013). PLRAAN 1050-2947 10.1103/PhysRevA.87.011601
12. C. Qu, C. Hamner, M. Gong, C. Zhang, and P. Engels, Phys. Rev. A 88, 021604(R) (2013). PLRAAN 1050-2947 10.1103/PhysRevA.88.021604
13. L.J. LeBlanc, M.C. Beeler, K. Jiménez-García, A.R. Perry, S. Sugawa, R.A Williams, and I.B. Spielman, New J. Phys. 15, 073011 (2013). NJOPFM 1367-2630 10.1088/1367-2630/15/7/073011
14. M. Aidelsburger, M. Atala, S. Nascimbène, S. Trotzky, Y.-A. Chen, and I. Bloch Phys. Rev. Lett. 107, 255301 (2011). PRLTAO 0031-9007 10.1103/PhysRevLett.107.255301
15. K. Jiménez-García, L.J. LeBlanc, R.A. Williams, M.C. Beeler, A.R. Perry, and I.B. Spielman, Phys. Rev. Lett. 108, 225303 (2012). PRLTAO 0031-9007 10.1103/PhysRevLett.108.225303
16. J. Struck, C. Ölschläger, M. Weinberg, P. Hauke, J. Simonet, A. Eckardt M. Lewenstein, K. Sengstock, and P. Windpassinger, Phys. Rev. Lett. 108, 225304 (2012). PRLTAO 0031-9007 10.1103/PhysRevLett.108.225304
17. M. Aidelsburger, M. Atala, M. Lohse, J.T. Barreiro, B. Paredes, and I. Bloch, Phys. Rev. Lett. 111, 185301 (2013). PRLTAO 0031-9007 10.1103/PhysRevLett.111.185301
18. H. Miyake, G.A. Siviloglou, C.J. Kennedy, W.C. Burton, and W. Ketterle, Phys. Rev. Lett. 111, 185302 (2013). PRLTAO 0031-9007 10.1103/PhysRevLett.111.185302
19. M. Levin and X.G. Wen, Rev. Mod. Phys. 77, 871 (2005). RMPHAT 0034-6861 10.1103/RevModPhys.77.871
20. J. Kogut, Rev. Mod. Phys. 55, 775 (1983). RMPHAT 0034-6861 10.1103/RevModPhys.55.775
21. U.J. Wiese, Ann. Phys. (N.Y.) 525, 777 (2013). APNYA6 0003-4916 10.1002/andp.201300104
22. J.I. Cirac, P. Maraner, and J.K. Pachos, Phys. Rev. Lett. 105, 190403 (2010). PRLTAO 0031-9007 10.1103/PhysRevLett.105.190403
23. E. Zohar and B. Reznik, Phys. Rev. Lett. 107, 275301 (2011). PRLTAO 0031-9007 10.1103/PhysRevLett.107.275301
24. E. Kapit and E. Mueller, Phys. Rev. A 83, 033625 (2011). PLRAAN 1050-2947 10.1103/PhysRevA.83.033625
25. E. Zohar, J.I. Cirac, and B. Reznik, Phys. Rev. Lett. 109, 125302 (2012). PRLTAO 0031-9007 10.1103/PhysRevLett.109.125302
26. D. Banerjee, M. Dalmonte, M. Müller, E. Rico, P. Stebler, U.-J. Wiese, and P. Zoller, Phys. Rev. Lett. 109, 175302 (2012). PRLTAO 0031-9007 10.1103/PhysRevLett.109.175302
27. L. Tagliacozzo, A. Celi, P. Orland, M.W. Mitchell, and M. Lewenstein, Nat. Commun. 4, 2615 (2013). NCAOBW 2041-1723 10.1038/ncomms3615
28. E. Zohar, J.I. Cirac, and B. Reznik, Phys. Rev. Lett. 110, 055302 (2013). PRLTAO 0031-9007 10.1103/PhysRevLett.110.055302
29. D. Banerjee, M. Bögli, M. Dalmonte, E. Rico, P. Stebler, U.-J. Wiese, and P. Zoller, Phys. Rev. Lett. 110, 125303 (2013). PRLTAO 0031-9007 10.1103/PhysRevLett.110.125303
30. E. Zohar, J.I. Cirac, and B. Reznik, Phys. Rev. Lett. 110, 125304 (2013). PRLTAO 0031-9007 10.1103/PhysRevLett.110.125304
31. L. Tagliacozzo, A. Celi, P. Orland, M.W. Mitchell, and M. Lewenstein, Nat. Commun. 4, 2615 (2013). NCAOBW 2041-1723 10.1038/ncomms3615
32. T. Keilmann, S. Lanzmich, I. McCulloch, and M. Roncaglia, Nat. Commun. 2, 361 (2011). NCAOBW 2041-1723 10.1038/ncomms1353
33. M.J. Edmonds, M. Valiente, G. Juzeliunas, L. Santos, and P. Ohberg, Phys. Rev. Lett. 110, 085301 (2013). PRLTAO 0031-9007 10.1103/PhysRevLett.110.085301
34. A. Eckardt, C. Weiss, and M. Holthaus, Phys. Rev. Lett. 95, 260404 (2005). PRLTAO 0031-9007 10.1103/PhysRevLett.95.260404
35. H. Lignier, C. Sias, D. Ciampini, Y. Singh, A. Zenesini, O. Morsch, and E. Arimondo, Phys. Rev. Lett. 99, 220403 (2007). PRLTAO 0031-9007 10.1103/PhysRevLett.99.220403
36. E. Kierig, U. Schnorrberger, A. Schietinger, J. Tomkovic, and M.K. Oberthaler, Phys. Rev. Lett. 100, 190405 (2008). PRLTAO 0031-9007 10.1103/PhysRevLett.100.190405
37. A. Zenesini, H. Lignier, D. Ciampini, O. Morsch, and E. Arimondo, Phys. Rev. Lett. 102, 100403 (2009). PRLTAO 0031-9007 10.1103/PhysRevLett.102.100403
38. J. Struck, C. Olschlager, R. Le Targat, P. Soltan-Panahi, A. Eckardt, M. Lewenstein, P. Windpassinger, and K. Sengstock, Science 333, 996 (2011). SCIEAS 0036-8075 10.1126/science.1207239
39. Y.-A. Chen, S. Nascimbène, M. Aidelsburger, M. Atala, S. Trotzky, and I. Bloch, Phys. Rev. Lett. 107, 210405 (2011). PRLTAO 0031-9007 10.1103/PhysRevLett.107.210405
40. R. Ma, M.E. Tai, PM. Preiss, W.S. Bakr, J. Simon, and M. Greiner, Phys. Rev. Lett. 107, 095301 (2011). PRLTAO 0031-9007 10.1103/PhysRevLett.107.095301
41. J. Gong, L. Morales-Molina, and P. Hänggi, Phys. Rev. Lett. 103, 133002 (2009). PRLTAO 0031-9007 10.1103/PhysRevLett.103.133002
42. Á. Rapp, X. Deng, and L. Santos, Phys. Rev. Lett. 109, 203005 (2012). PRLTAO 0031-9007 10.1103/PhysRevLett.109.203005
43. M. Di Liberto, C.E. Creffield, G.I. Japaridze, and C. Morais Smith, Phys. Rev. A 89, 013624 (2014). PLRAAN 1050-2947 10.1103/PhysRevA.89.013624
44. The laser arrangement is basically the same as that of [D. Jaksch and P. Zoller, New J. Phys. 5, 56 (2003)] proposed for the creation of a synthetic (static) magnetic field. However, here, we do not demand a spatial dependence of the Rabi frequencies, and the (Equation presented) and (Equation presented) lasers are switched on and off. The tilting must be sufficiently large to be resolved by the two different Raman pairs. The tilting must also be larger than the Raman-induced hopping rate and the interaction energy. NJOPFM 1367-2630 10.1088/1367-2630/5/1/356
45. Note, also, that the tilting should be chosen avoiding photon-assisted resonances [C. Sias, H. Lignier, Y. Singh, A. Zenesini, D. Ciampini, O. Morsch, and E. Arimondo, Phys. Rev. Lett. 100, 040404 (2008)], which could result in a significant (Equation presented) hopping even during the (Equation presented) pulses. PRLTAO 0031-9007 10.1103/PhysRevLett.100.040404
46. See Supplemental Material at http://link.aps.org/supplemental/10.1103/PhysRevLett.113.215303 for details on periodically modulated interactions, the strongly interacting limit, the calculation of the scattering length for vanishing interaction, time of flight imaging, correlation functions in the SF regime, and the numerical simulations.
47. U. Schollwöck, Ann. Phys. (N.Y.) 326, 96 (2011). 10.1016/j.aop.2010.09.012
48. Th. Giamarchi, Quantum Physics in One Dimension, (Oxford University Press, New York, 2004).
49. J. Sherson, C. Weitenberg, M. Endres, M. Cheneau, I. Bloch, and S. Kuhr, Nature (London) 467, 68 (2010). NATUAS 0028-0836 10.1038/nature09378
50. A.K. Kolezhuk, F. Heidrich-Meisner, S. Greschner, and T. Vekua, Phys. Rev B 85, 064420 (2012). BRBECF 0304-4173 10.1103/PhysRevB.85.064420
51. B. Paredes, A. Widera, V. Murg, O. Mandel, S. Fölling, I. Cirac, G.V. Shlyapnikov, T.W. Hänsch, and I. Bloch, Nature (London) 429, 277 (2004). NATUAS 0028-0836 10.1038/nature02530
52. D. Poletti and C. Kollath, Phys. Rev. A 84, 013615 (2011). PLRAAN 1050-2947 10.1103/PhysRevA.84.013615
53. A.J. Daley, C. Kollath, U. Schollwöck, and G. Vidal, J. Stat. Mech. (2004) P04005. JSMTC6 1742-5468