Phase Transitions of Bosons in Optical Lattices with a Mixture of Single and Pair Hoppings

• Authors: V. Travin , T. Kopeć
• Languages of publication: EN

Abstracts

EN

We considered Bose condensate in optical lattice with mixture of single and pair hoppings for arbitrary temperatures. In order to calculate free energy of the system and determine phase transition lines between disordered and ordered phases, the Laplace transform method has been applied. We identified several possible scenarios for phase diagrams with phase transitions of the second kind. The results have been obtained from both analytical and numerical methods of calculation. Finally, we obtained thermal insensitivity of the system for big values of reduced pair hopping and (or) reduced chemical potential.

Keywords

EN

67.10.Fj; 67.85.Hj; 67.90.+z

Discipline

• 67.85.Hj: Bose-Einstein condensates in optical potentials
• 67.10.Fj: Quantum statistical theory
• 67.90.+z: Other topics in quantum fluids and solids (restricted to new topics in section 67)

• Publisher: Institute of Physics, Polish Academy of Sciences
• Journal: Acta Physica Polonica A
• Year: 2016
• Volume: 130
• Issue: 2
• Pages: 625-628

Dates

published

2016-08

Contributors

author

V. Travin

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

author

T. Kopeć

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

References

• [1] I.H. Deutsch, P.S. Jessen, Phys. Rev. A 57, 1972 (1998), doi: 10.1103/PhysRevA.57.1972
• [2] D. Jaksch, H.-J. Briegel, J.I. Cirac, C.W. Gardiner, P. Zoller, Phys. Rev. Lett. 82, 1975 (1999), doi: 10.1103/PhysRevLett.82.1975
• [3] S. Trotzky, P. Cheinet, S. Fölling, M. Feld, U. Schnorrberger, A.M. Rey, A. Polkovnikov, E.A. Demler, M.D. Lukin, I. Bloch, Science 319, 295 (2008), doi: 10.1126/science.1150841
• [4] M. Eckholt, J.J. Garcia-Ripoll, New J. Phys. 11, 093028 (2009), doi: 10.1088/1367-2630/11/9/093028
• [5] V.M. Travin, T.K. Kopeć, J. Phys. A Math. Theor. 48, 345001 (2015), doi: 10.1088/1751-8113/48/34/345001
• [6] Xiang-Fa Zhou, Yong-Sheng Zhang, Guang-Can Guo, Phys. Rev. A 80, 013605 (2009), doi: 10.1103/PhysRevA.80.013605
• [7] H. Keiter, G. Morandi, Phys. Rep. 5, 227 (1984), doi: 10.1016/0370-1573(84)90039-5
• [8] T.K. Kopeć, M.W. Szymański, Phys. Lett. A 378, 3402 (2014), doi: 10.1016/j.physleta.2014.10.002

Identifiers

DOI

10.12693/APhysPolA.130.625