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

• Autorzy: Tomasz Sowiński
• Języki publikacji: EN

Abstrakty

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.

Słowa kluczowe

EN

extended Bose-Hubbard model; three-body interactions; BKT transition

• Czasopismo: Open Physics
• Rocznik: 2014
• Tom: 12
• Numer: 7
• Strony: 473-479

Daty

wydano

2014-07-01

online

2014-06-21

Twórcy

autor

Tomasz Sowiński,

Bibliografia

• [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]

Identyfikatory

DOI

10.2478/s11534-014-0481-8