Lost of Bosonic Coherence Due to the Fermionic Presence Under the Synthetic Magnetic Field

• Authors: T. Polak
• Languages of publication: EN

Abstracts

EN

We have studied effects of inter-species interaction of the bosons in a Bose-Fermi mixture over a large regime of particle numbers under the synthetic magnetic field. Analytically derived formulas for the density of states for several values of the magnetic fields f=1/2,1/3,1/4,1/6,1/8 and 3/8 allows us to calculate, with a very good accuracy, the effective interaction between bosons. The presence of the Hofstadter butterfly spectrum and fermionic species induces alternating sign potential between neutral bosonic atoms. Consequently bosons can attract or repulse each other whether sign of it strongly depends on the strength of the magnetic field applied to the sample.

Keywords

EN

05.30.Jp; 03.75.Lm; 03.75.Nt

Discipline

• 03.75.Nt: Other Bose-Einstein condensation phenomena
• 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)
• 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)

• Publisher: Institute of Physics, Polish Academy of Sciences
• Journal: Acta Physica Polonica A
• Year: 2012
• Volume: 121
• Issue: 4
• Pages: 759-763

Dates

published

2012-04

Contributors

author

T. Polak

• Faculty of Physics, Adam Mickiewicz University of Poznań, Umultowska 85, 61-614 Poznań, Poland

References

• 1. I. Coddington, P.C. Haljan, P. Engels, V. Schweikhard, S. Tung, E. A. Cornell, Phys. Rev. A 70, 063607 (2004)
• 2. S. Tung, V. Schweikhard, E.A. Cornell, Phys. Rev. Lett. 97, 240402 (2006)
• 3. V. Schweikhard, S. Tung, E. A. Cornell, Phys. Rev. Lett. 99, 030401 (2007)
• 4. R. Bhat, M. Krämer, J. Cooper, M.J. Holland, Phys. Rev. A 76, 043601 (2007)
• 5. C. Ospelkaus, S. Ospelkaus, K. Sengstock, K. Bongs, Phys. Rev. Lett. 96, 020401 (2006)
• 6. F. Ferlaino, C. D'Errico, G. Roati, M. Zaccanti, M. Inguscio, G. Modugno, A. Simoni, Phys. Rev. A 73, 040702(R) (2006)
• 7. K. Günter, T. Stöferle, H. Moritz, M. Köhl, T. Esslinger, Phys. Rev. Lett. 96, 180402 (2006)
• 8. T. Best, S. Will, U. Schneider, L. Hackermüller, D. van Oosten, I. Bloch, Phys. Rev. Lett. 102, 030408 (2009)
• 9. J. Catani, L. De Sarlo, G. Barontini, F. Minardi, M. Inguscio, Phys. Rev. A 77, 011603(R) (2008)
• 10. R.M. Lutchyn, S. Tewari, S. Das Sarma, Phys. Rev. A 79, 011606(R) (2009)
• 11. T.P. Polak, T.K. Kopeć, Phys. Rev. A 81, 043612 (2010)
• 12. P. Buonsante, S.M. Giampaolo, F. Illuminati, V. Penna, A. Vezzani, Phys. Rev. Lett. 100, 240402 (2008)
• 13. G. Mazzarella, Eur. Phys. J. D 50, 61 (2008)
• 14. F. Illuminati, A. Albus, Phys. Rev. Lett. 93, 090406 (2004)
• 15. Y.-J. Lin, R.L. Compton, K. Jimenez-García, J.V. Porto, I.B. Spielman, Nature 462, 628 (2009)
• 16. S. Will, T. Best, U. Schneider, L. Hackermüller, D. Lühmann, I. Bloch, Nature 46, 197 (2010)
• 17. A. Albus, F. Illuminati, J. Eisert, Phys. Rev. A 68, 023606 (2003)
• 18. T.P. Polak, T.K. Kopeć, Phys. Rev. A 79, 063629 (2009)
• 19. G. Giuliani, G. Vignale, Quantum Theory of the Electron Fluid, Cambridge 2005
• 20. S. Florens, A. Georges, Phys. Rev. B 70, 035114 (2004)
• 21. T.K. Kopeć, Phys. Rev. B 70, 054518 (2004)
• 22. E. Zhao, A. Paramekanti, Phys. Rev. B 76, 195101 (2007)
• 23. T.P. Polak, T.K. Kopeć, Phys. Rev. B 76, 094503 (2007)

Identifiers

DOI

10.12693/APhysPolA.121.759