Optical Conductivity of Ultra-Cold Bosons in Optical Lattices

• Authors: B. Grygiel , K. Patucha , T. Zaleski
• Languages of publication: EN

Abstracts

EN

We study ultra-cold bosonic systems in optical lattice using quantum rotor approach to calculate the current-current correlations, which provides the information about conductivity of the system. The method allows us to go beyond mean-field approximation and track the behavior of the real part of the conductivity along the phase transition between the Mott insulator and superfluid state for various geometries of the lattice. In the phase-ordered state at zero temperature, a discrete ingredient appears resulting from the long-range coherence in the system.

Keywords

EN

67.85.Hj; 05.30.Jp; 03.75.Lm

Discipline

• 03.75.Lm: Tunneling, Josephson effect, Bose-Einstein condensates in periodic potentials, solitons, vortices, and topological excitations(see also 74.50.+r Tunneling phenomena; Josephson effects in superconductivity)
• 67.85.Hj: Bose-Einstein condensates in optical potentials
• 05.30.Jp: Boson systems(for static and dynamic properties of Bose-Einstein condensates, see 03.75.Hh and 03.75.Kk; see also 67.10.Ba Boson degeneracy in quantum fluids)

• Journal: Acta Physica Polonica A
• Year: 2016
• Volume: 130
• Issue: 2
• Pages: 633-636

Dates

published

2016-08

Contributors

author

B. Grygiel

• Institute of Low Temperature and Structure Research, Polish Academy of Sciences, P.O. Box 1410, 50-950 Wrocław, Poland

author

K. Patucha

• Institute of Low Temperature and Structure Research, Polish Academy of Sciences, P.O. Box 1410, 50-950 Wrocław, Poland

author

T. Zaleski

• Institute of Low Temperature and Structure Research, Polish Academy of Sciences, P.O. Box 1410, 50-950 Wrocław, Poland

References

• [1] J. Bardeen, L.N. Cooper, J.R. Schrieffer, Phys. Rev. 108, 1175 (1957), doi: 10.1103/PhysRev.108.1175
• [2] K. von Klitzing, G. Dorda, M. Pepper, Phys. Rev. Lett. 45, 494 (1980), doi: 10.1103/PhysRevLett.45.494
• [3] I. Bloch, J. Dalibard, W. Zwerger, Rev. Mod. Phys. 80, 885 (2008), doi: 10.1103/RevModPhys.80.885
• [4] C. Pethick, H. Smith, Bose-Einstein Condensation in Dilute Gases, Cambridge University Press, 2002
• [5] S. Krinner, D. Stadler, D. Husmann, J.-P. Brantut, T. Esslinger, Nature 517, 64 (2015), doi: 10.1038/nature14049
• [6] D. Jaksch, C. Bruder, J.I. Cirac, C.W. Gardiner, P. Zoller, Phys. Rev. Lett. 81, 3108 (1998), doi: 10.1103/physrevlett.81.3108
• [7] M.P.A. Fisher, P.B. Weichman, G. Grinstein, D.S. Fisher, Phys. Rev. B 40, 546 (1989), doi: 10.1103/physrevb.40.546
• [8] T.K. Kopeć, J.V. José, Phys. Rev. B 60, 7473 (1999), doi: 10.1103/physrevb.60.7473
• [9] T.K. Kopeć, Phys. Rev. B 70, 054518 (2004), doi: 10.1103/physrevb.70.054518
• [10] T.P. Polak, T.K. Kopeć, Phys. Rev. B 76, 094503 (2007), doi: 10.1103/physrevb.76.094503
• [11] T. Zaleski, T. Kopeć, Phys. Rev. A 84, 053613 (2011), doi: 10.1103/physreva.84.053613
• [12] T.A. Zaleski, Phys. Rev. A 85, 043611 (2012), doi: 10.1103/physreva.85.043611
• [13] D.R. Hofstadter, Phys. Rev. B 14, 2239 (1976), doi: 10.1103/physrevb.14.2239
• [14] A.P. Kampf, G.T. Zimanyi, Phys. Rev. B 47, 279 (1993), doi: 10.1103/physrevb.47.279
• [15] M.-C. Cha, M.P.A. Fisher, S.M. Girvin, M. Wallin, A.P. Young, Phys. Rev. B 44, 6883 (1991), doi: 10.1103/physrevb.44.6883
• [16] J. Wu, P. Phillips, Phys. Rev. B 73, 214507 (2006), doi: 10.1103/physrevb.73.214507
• [17] A.S. Sajna, T.P. Polak, R. Micnas, Phys. Rev. A 89, 023631 (2014), doi: 10.1103/physreva.89.023631
• [18] A. van Otterlo, K.H. Wagenblast, R. Fazio, G. Schön, Phys. Rev. B 48, 3316 (1993), doi: 10.1103/physrevb.48.3316

Identifiers

DOI

10.12693/APhysPolA.130.633