Expansion dynamics of interacting bosons in homogeneous lattices in one and two dimensions

Physical Review Letters

Volumn 110, Issue 20, 2013, Pages

  Ronzheimer, J P ^a,b   Schreiber, M ^a,b   Braun, S ^a,b   Hodgman, S ^a,b   Langer, S ^a,c   McCulloch, I P ^d   Heidrich Meisner, F ^a,e   Bloch, I ^a,b   Schneider, U ^a,b  

^a UNIVERSITY OF MUNICH   (Germany)

^b MAX PLANCK INSTITUT FÜR QUANTENOPTIK   (Germany)

^c UNIVERSITY OF PITTSBURGH   (United States)

^d UNIVERSITY OF QUEENSLAND   (Australia)

^e UNIVERSITY OF ERLANGEN NUREMBERG   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

DIFFUSIVE DYNAMICS; DIMENSIONAL CROSSOVER; EXPANSION DYNAMICS; INTERACTING BOSONS; INTERACTION STRENGTH; NON-EQUILIBRIUM DYNAMICS; TWO-DIMENSIONAL OPTICAL LATTICES; ULTRACOLD BOSONS;

BALLISTICS; EXPANSION;

DYNAMICS;

EID: 84877828297     PISSN: 00319007     EISSN: 10797114     Source Type: Journal    
DOI: 10.1103/PhysRevLett.110.205301     Document Type: Article

References (45)

1. A. Polkovnikov, K. Sengupta, A. Silva, and M. Vengalattore, Rev. Mod. Phys. 83, 863 (2011). RMPHAT 0034-6861 10.1103/RevModPhys.83.863
2. I. Bloch, J. Dalibard, and W. Zwerger, Rev. Mod. Phys. 80, 885 (2008). RMPHAT 0034-6861 10.1103/RevModPhys.80.885
3. M. Greiner, O. Mandel, T. Hänsch, and I. Bloch, Nature (London) 419, 51 (2002). NATUAS 0028-0836 10.1038/nature00968 (Pubitemid 34987866)
4. L. E. Sadler, J. M. Higbie, S. R. Leslie, M. Vengalattore, and D. M. Stamper-Kurn, Nature (London) 443, 312 (2006). NATUAS 0028-0836 10.1038/nature05094 (Pubitemid 44435146)
5. T. Kinoshita, T. Wenger, and D. S. Weiss, Nature (London) 440, 900 (2006). NATUAS 0028-0836 10.1038/nature04693
6. D. Chen, M. White, C. Borries, and B. DeMarco, Phys. Rev. Lett. 106, 235304 (2011). PRLTAO 0031-9007 10.1103/PhysRevLett.106.235304
7. S. Trotzky, Y.-A. Chen, A. Flesch, I. P. McCulloch, U. Schollwöck, J. Eisert, and I. Bloch, Nat. Phys. 8, 325 (2012). NPAHAX 1745-2473 10.1038/nphys2232
8. H. Ott, E. de Mirandes, F. Ferlaino, G. Roati, G. Modugno, and M. Inguscio, Phys. Rev. Lett. 92, 160601 (2004). PRLTAO 0031-9007 10.1103/PhysRevLett.92.160601
9. C. D. Fertig, K. M. O'Hara, J. H. Huckans, S. L. Rolston, W. D. Phillips, and J. V. Porto, Phys. Rev. Lett. 94, 120403 (2005). PRLTAO 0031-9007 10.1103/PhysRevLett.94.120403 (Pubitemid 40629883)
10. N. Strohmaier, Y. Takasu, K. Günter, R. Jördens, M. Köhl, H. Moritz, and T. Esslinger, Phys. Rev. Lett. 99, 220601 (2007). PRLTAO 0031-9007 10.1103/PhysRevLett.99.220601 (Pubitemid 350191563)
11. U. Schneider, L. Hackermüller, J. P. Ronzheimer, S. Will, S. Braun, T. Best, I. Bloch, E. Demler, S. Mandt, D. Rasch, and A. Rosch, Nat. Phys. 8, 213 (2012). NPAHAX 1745-2473 10.1038/nphys2205
12. J.-P. Brantut, J. Meineke, D. Stadler, S. Krinner, and T. Esslinger, Science 337, 1069 (2012). SCIEAS 0036-8075 10.1126/science.1223175
13. M. Gring, M. Kuhnert, T. Langen, T. Kitagawa, B. Rauer, M. Schreitl, I. Mazets, D. A. Smith, E. Demler, and J. Schmiedmayer, Science 337, 1318 (2012). SCIEAS 0036-8075 10.1126/science.1224953
14. M. A. Cazalilla, R. Citro, T. Giamarchi, E. Orignac, and M. Rigol, Rev. Mod. Phys. 83, 1405 (2011). RMPHAT 0034-6861 10.1103/RevModPhys.83.1405
15. B. Paredes, A. Widera, V. Murg, O. Mandel, S. Fölling, I. Cirac, G. Shlyapnikov, T. W. Hänsch, and I. Bloch, Nature (London) 429, 277 (2004). NATUAS 0028-0836 10.1038/nature02530 (Pubitemid 38684809)
16. T. Kinoshita, T. Wenger, and D. S. Weiss, Science 305, 1125 (2004). SCIEAS 0036-8075 10.1126/science.1100700 (Pubitemid 39100318)
17. M. Rigol and A. Muramatsu, Phys. Rev. Lett. 94, 240403 (2005). PRLTAO 0031-9007 10.1103/PhysRevLett.94.240403 (Pubitemid 41636453)
18. A. Minguzzi and D. M. Gangardt, Phys. Rev. Lett. 94, 240404 (2005). PRLTAO 0031-9007 10.1103/PhysRevLett.94.240404 (Pubitemid 41636454)
19. M. Rigol and A. Muramatsu, Phys. Rev. Lett. 93, 230404 (2004). PRLTAO 0031-9007 10.1103/PhysRevLett.93.230404 (Pubitemid 40079058)
20. K. Rodriguez, S. R. Manmana, M. Rigol, R. M. Noack, and A. Muramatsu, New J. Phys. 8, 169 (2006). NJOPFM 1367-2630 10.1088/1367-2630/8/8/169 (Pubitemid 44385044)
21. F. Heidrich-Meisner, M. Rigol, A. Muramatsu, A. E. Feiguin, and E. Dagotto, Phys. Rev. A 78, 013620 (2008). PLRAAN 1050-2947 10.1103/PhysRevA.78. 013620
22. F. Heidrich-Meisner, S. R. Manmana, M. Rigol, A. Muramatsu, A. E. Feiguin, and E. Dagotto, Phys. Rev. A 80, 041603 (2009). PLRAAN 1050-2947 10.1103/PhysRevA.80.041603
23. D. Muth, D. Petrosyan, and M. Fleischhauer, Phys. Rev. A 85, 013615 (2012). PLRAAN 1050-2947 10.1103/PhysRevA.85.013615
24. J. Kajala, F. Massel, and P. Törmä, Phys. Rev. Lett. 106, 206401 (2011). PRLTAO 0031-9007 10.1103/PhysRevLett.106.206401
25. D. Iyer and N. Andrei, Phys. Rev. Lett. 109, 115304 (2012). PRLTAO 0031-9007 10.1103/PhysRevLett.109.115304
26. J.-S. Caux and R. M. Konik, Phys. Rev. Lett. 109, 175301 (2012). PRLTAO 0031-9007 10.1103/PhysRevLett.109.175301
27. P. Öhberg and L. Santos, Phys. Rev. Lett. 89, 240402 (2002). PRLTAO 0031-9007 10.1103/PhysRevLett.89.240402
28. A. del Campo and J. G. Muga, Europhys. Lett. 74, 965 (2006). EULEEJ 0295-5075 10.1209/epl/i2006-10061-5 (Pubitemid 43966572)
29. D. Jukić, B. Klajn, and H. Buljan, Phys. Rev. A 79, 033612 (2009). PLRAAN 1050-2947 10.1103/PhysRevA.79.033612
30. M. Jreissaty, J. Carrasquilla, F. A. Wolf, and M. Rigol, Phys. Rev. A 84, 043610 (2011). Within the Gutzwiller approximation, any Mott insulator is equivalent to a product of local Fock states; see Ref.. PLRAAN 1050-2947 10.1103/PhysRevA.84.043610
31. J. Wernsdorfer, Ph.D. thesis, Johann Wolfgang Goethe-Universität Frankfurt, 2012.
32. G. Vidal, Phys. Rev. Lett. 93, 040502 (2004). PRLTAO 0031-9007 10.1103/PhysRevLett.93.040502
33. A. J. Daley, C. Kollath, U. Schollwöck, and G. Vidal, J. Stat. Mech. (2004) P04005. JSMTC6 1742-5468 10.1088/1742-5468/2004/04/P04005
34. S. R. White and A. E. Feiguin, Phys. Rev. Lett. 93, 076401 (2004). PRLTAO 0031-9007 10.1103/PhysRevLett.93.076401
35. S. Will, T. Best, U. Schneider, L. Hackermüller, D.-S. Lühmann, and I. Bloch, Nature (London) 465, 197 (2010). NATUAS 0028-0836 10.1038/nature09036
36. See Supplemental Material at http://link.aps.org/supplemental/10.1103/ PhysRevLett.110.205301 for details on experimental procedures and t-DMRG calculations.
37. S. Langer, M. J. A. Schuetz, I. P. McCulloch, U. Schollwöck, and F. Heidrich-Meisner, Phys. Rev. A 85, 043618 (2012). PLRAAN 1050-2947 10.1103/PhysRevA.85.043618
38. M. Polini and G. Vignale, Phys. Rev. Lett. 98, 266403 (2007). PRLTAO 0031-9007 10.1103/PhysRevLett.98.266403 (Pubitemid 47139959)
39. S. Fölling, S. Trotzky, P. Cheinet, M. Feld, R. Saers, A. Widera, T. Müller, and I. Bloch, Nature (London) 448, 1029 (2007). NATUAS 0028-0836 10.1038/nature06112 (Pubitemid 47345592)
40. T. D. Kühner, S. R. White, and H. Monien, Phys. Rev. B 61, 12 474 (2000). PRBMDO 0163-1829 10.1103/PhysRevB.61.12474
41. M. Cramer, A. Flesch, I. P. McCulloch, U. Schollwöck, and J. Eisert, Phys. Rev. Lett. 101, 063001 (2008). PRLTAO 0031-9007 10.1103/PhysRevLett.101. 063001
42. M. Rigol, V. Dunjko, and M. Olshanii, Nature (London) 452, 854 (2008). NATUAS 0028-0836 10.1038/nature06838 (Pubitemid 351550863)
43. I. Hen and M. Rigol, Phys. Rev. Lett. 105, 180401 (2010). PRLTAO 0031-9007 10.1103/PhysRevLett.105.180401
44. K. Winkler, G. Thalhammer, F. Lang, R. Grimm, J. H. Denschlag, A. J. Daley, A. Kantian, H. P. Büchler, and P. Zoller, Nature (London) 441, 853 (2006). NATUAS 0028-0836 10.1038/nature04918
45. D. Petrosyan, B. Schmidt, J. R. Anglin, and M. Fleischhauer, Phys. Rev. A 76, 033606 (2007). PLRAAN 1050-2947 10.1103/PhysRevA.76.033606 (Pubitemid 47429359)