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Number of results

Journal

2014 | 12 | 7 | 473-479

Article title

One-dimensional Bose-Hubbard model with pure three-body interactions

Content

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Languages of publication

EN

Abstracts

EN
The extended Bose-Hubbard model with pure three-body local interactions is studied using the Density Matrix Renormalization Group approach. The shapes of the first two insulating lobes are discussed, and the values of the critical tunneling for which the system undergoes the quantum phase transition from insulating to superfluid phase are predicted. It is shown that stability of insulating phases, in contrast to the standard Bose-Hubbard model, is enhanced for larger fillings. It is also shown that, on the tip of the boundary of the insulating phase, the model under consideration belongs to the Berenzinskii-Kosterlitz-Thouless universality class.

Publisher

Journal

Year

Volume

12

Issue

7

Pages

473-479

Physical description

Dates

published
1 - 7 - 2014
online
21 - 6 - 2014

References

  • [1] M. Lewenstein, A. Sanpera, V. Ahufinger, B. Damski, A. Sen(De), U. Sen, Adv. Phys. 56, 243 (2007) http://dx.doi.org/10.1080/00018730701223200[Crossref]
  • [2] I. Bloch, W. Zwerger, Rev. Mod. Phys. 80, 885 (2008) http://dx.doi.org/10.1103/RevModPhys.80.885[Crossref]
  • [3] M. Lewenstein, A. Sanpera, V. Ahufinger, Ultracold Atoms in Optical Lattices - Simulating quantum many-body systems (Oxford University Press, Oxford, 2012) http://dx.doi.org/10.1093/acprof:oso/9780199573127.001.0001[Crossref]
  • [4] M. P. A. Fisher, P. B. Weichman, G. Grinstein, D. S. Fisher, Phys. Rev. B 40, 546 (1989) http://dx.doi.org/10.1103/PhysRevB.40.546[Crossref]
  • [5] D. Jaksch, C. Bruder, J. I. Cirac, C. W. Gardiner, P. Zoller, Phys. Rev. Lett. 81, 3108 (1998) http://dx.doi.org/10.1103/PhysRevLett.81.3108[Crossref]
  • [6] M. Greiner, O. Mandel, T. Esslinger, T. Hänsch, I. Bloch, Nature 415, 39 (2002) http://dx.doi.org/10.1038/415039a[Crossref]
  • [7] S. Will, T. Best, U. Schneider, L. Hackermüller, D.-S. Lühmann, I. Bloch, Nature 465, 197 (2010) http://dx.doi.org/10.1038/nature09036[Crossref]
  • [8] T. Sowiński, Phys. Rev. A 85, 065601 (2012) http://dx.doi.org/10.1103/PhysRevA.85.065601[Crossref]
  • [9] B.-l. Chen, X.-b. Huang, S.-p. Kou, Y. Zhang, Phys. Rev. A 78, 043603 (2008) http://dx.doi.org/10.1103/PhysRevA.78.043603[Crossref]
  • [10] K. Zhou, Z. Liang, Z. Zhang, Phys. Rev. A 82, 013634 (2010) http://dx.doi.org/10.1103/PhysRevA.82.013634[Crossref]
  • [11] A. Safavi-Naini, J. von Stecher, B. Capogrosso-Sansone, S. T. Rittenhouse, Phys. Rev. Lett. 109, 135302 (2012) http://dx.doi.org/10.1103/PhysRevLett.109.135302[Crossref]
  • [12] J. Silva-Valencia A. M. C. Souza, Phys. Rev. A 84, 065601 (2011) http://dx.doi.org/10.1103/PhysRevA.84.065601[Crossref]
  • [13] H. Al-Jibbouri, I. Vidanović, A. Balaž, A. Pelster, J. Phys. B 46, 065303 (2013) http://dx.doi.org/10.1088/0953-4075/46/6/065303[Crossref]
  • [14] J. Silva-Valencia A. Souza, Eur. Phys. J. B 85, 161 (2012) http://dx.doi.org/10.1140/epjb/e2012-20966-8[Crossref]
  • [15] T. Sowiński, R.W. Chhajlany, O. Dutta, L. Tagliacozzo, M. Lewenstein, arXiv:1304.4835 (2013) [WoS]
  • [16] M. Singh, A. Dhar, T. Mishra, R. V. Pai, B. P. Das, Phys. Rev. A 85, 051604 (2012) http://dx.doi.org/10.1103/PhysRevA.85.051604[Crossref]
  • [17] F. K. Abdullaev M. Salerno, Phys. Rev. A 72, 033617 (2005) http://dx.doi.org/10.1103/PhysRevA.72.033617[Crossref]
  • [18] T. Sowiński, R.W. Chhajlany, Phys. Scr. T 160, 014038 (2014) http://dx.doi.org/10.1088/0031-8949/2014/T160/014038[Crossref]
  • [19] L. Mazza, M. Rizzi, M. Lewenstein, J. I. Cirac, Phys. Rev. A 82, 043629 (2010) http://dx.doi.org/10.1103/PhysRevA.82.043629[Crossref]
  • [20] A. J. Daley, J. M. Taylor, S. Diehl, M. Baranov, P. Zoller, Phys. Rev. Lett. 102, 040402 (2009) http://dx.doi.org/10.1103/PhysRevLett.102.040402[Crossref]
  • [21] H. P. Büchler, A. Micheli, P. Zoller, Nature Phys. 3, 726 (2007) http://dx.doi.org/10.1038/nphys678[Crossref]
  • [22] K. P. Schmidt, J. Dorier, A. M. Läuchli, Phys. Rev. Lett. 101, 150405 (2008) http://dx.doi.org/10.1103/PhysRevLett.101.150405[Crossref]
  • [23] B. Capogrosso-Sansone, S. Wessel, H. P. Büchler, P. Zoller, G. Pupillo, Phys. Rev. B 79, 020503 (2009) http://dx.doi.org/10.1103/PhysRevB.79.020503[Crossref]
  • [24] V. F. Elesin, V. Kashurnikov, L. A. Openov, JETP Lett. 60, 174 (1994)
  • [25] S. Ejima, F. Lange, H. Fehske, F. Gebhard, K. zu Münster, Phys. Rev. A 88, 063625 (2013) http://dx.doi.org/10.1103/PhysRevA.88.063625[Crossref]
  • [26] V. Berenzinskii, Sov. Phys. JETP 34, 610 (1972)
  • [27] J. M. Kosterlitz D. J. Thouless, J. Phys. C 6, 1181 (1973) http://dx.doi.org/10.1088/0022-3719/6/7/010[Crossref]
  • [28] P. Calabrese J. Cardy, J. Stat. Mech. Theor. Exp. 2004, P06002 (2004)
  • [29] N. Laflorencie, E. S. Sørensen, M.-S. Chang, I. Affleck, Phys. Rev. Lett. 96, 100603 (2006) http://dx.doi.org/10.1103/PhysRevLett.96.100603[Crossref]
  • [30] M. Cazalilla, R. Citro, T. Giamarchi, Rev. Mod. Phys. 83, 1405 (2011) http://dx.doi.org/10.1103/RevModPhys.83.1405[Crossref]
  • [31] S. Ejima, H. Fehske, F. Gebhard, K. zu Münster, M. Knap, E. Arrigoni, W. von der Linden, Phys. Rev. A 85, 053644 (2012) http://dx.doi.org/10.1103/PhysRevA.85.053644[Crossref]

Document Type

Publication order reference

Identifiers

YADDA identifier

bwmeta1.element.-psjd-doi-10_2478_s11534-014-0481-8
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