Abstract
We study the tunneling dynamics of superfluid Fermi gases in an optical lattice from BEC to unitarity regime. Four different cases are found, namely Josephson oscillations (JO), oscillating-phase-type self-trapping (OST), running-phase-type self-trapping (RST) and self-trapping (ST). We find that the s-wave scattering length has a crucial role on the tunneling dynamics. Periodic modulation can also affect the tunneling phenomena, for example, in the high frequency modulation, the optical lattice is splitted at the zero points of the zeroth order Bessel function J 0 and strong suppression of tunneling by the modulation is observed at these points.
Similar content being viewed by others
References
S. Giorgini, L. Pitaevskii, S. Stringari, Rev. Mod. Phys. 80, 1215 (2008)
S.K. Adhikari, Phys. Rev. A 77, 045602 (2008)
S. Cowell, H. Heiselberg, I.E. Mazets, J. Morales, V.R. Pandharipande, C.J. Pethick, Phys. Rev. Lett. 88, 210403 (2002)
Y. Wu et al., Phys. Rev. Lett. 86, 2200 (2001)
J.K. Chin, D.E. Miller, Y. Liu, C. Stan, W. Setiawan, C. Sanner, K. Xu, W. Ketterle, Nature 443, 961 (2006)
W.M. Liu, W.B. Fan, W.M. Zheng, J.Q. Liang, S.T. Chui, Phys. Rev. Lett. 88, 170408 (2002)
R. Qi, X.L. Yu, Z.B. Li, W.M. Liu, Phys. Rev. Lett. 102, 185301 (2009)
S.K. Adhikari, H. Lu, H. Pu, Phys. Rev. A 80, 063607 (2009)
W. Wen, S.Q. Shen, G.X. Huang, Phys. Rev. B 81, 014528 (2010)
W. Wen, G.X. Huang, Phys. Rev. A 79, 023605 (2009)
H. Zhai, T.L. Ho, Phys. Rev. Lett. 99, 100402 (2007)
D.H. Kim, P. Törmä, J.P. Martikainen, Phys. Rev. Lett. 102, 245301 (2009)
M. Iskin, C.A.R. Sáde Melo, Phys. Rev. Lett. 99, 080403 (2007)
M. Iskin, C.A.R. Sáde Melo, Phys. Rev. A 78, 013607 (2008)
H. Heiselberg, Phys. Rev. Lett. 93, 040402 (2004)
L.P. Pitaevskii, S. Stringari, G. Orso, Phys. Rev. A 71, 053602 (2005)
G. Roati, E. De Mirandes, F. Ferlaino, H. Ott, G. Modugno, M. Inguscio, Phys. Rev. Lett. 92, 230402 (2004)
Gh.S. Paraoanu, M. Rodriguez, P. Törmä, Phys. Rev. A 66, 041603 (R) (2002)
L. Pezzè, L. Pitaevskii, A. Smerzi, S. Stringari, G. Modugno, E. De Mirandes, F. Ferlaino, H. Ott, G. Roati, M. Inguscio, Phys. Rev. Lett. 93, 120401 (2004)
N. Manini, L. Salasnich, Phys. Rev. A 71, 033625 (2005)
Y.E. Kim, A.L. Zubarev, Phys. Rev. A 70, 033612 (2004)
M. Bartenstein et al., Phys. Rev. Lett. 92, 203201 (2004)
G.E. Astrakharchik, J. Boronat, J. Casulleras, S. Giorgini, Phys. Rev. Lett. 93, 200404 (2004)
S.Y. Chang, V.R. Pandharipande, J. Carlson, K.E. Schmidt, Phys. Rev. A 70, 043602 (2004)
G.C. Strinati, P. Pieri, Phys. Rev. A 69, 011601 (R) (2004)
G.J. Milburn et al., Phys. Rev. A 55, 4318 (1997)
A. Smerzi, S. Fantoni, S. Giovanazzi, S.R. Shenoy, Phys. Rev. Lett. 79, 4950 (1997)
S. Raghavan, A. Smerzi, V.M. Kenkre, Phys. Rev. A 60, R1787 (1999)
S. Raghavan, A. Smerzi, S. Fantoni, S.R. Shenoy, Phys. Rev. A 59, 620 (1999)
K. Sigmund, S. Fernando, Phys. Rev. Lett. 89, 060403 (2002)
L. Salasnich, Phys. Rev. A 61, 015601 (2000)
H. Heiselberg, Phys. Rev. A 63, 043606 (2001)
P.T. Qi, W.S. Duan, Phys. Rev. A 84, 033627 (2011)
B. Wu, Q. Niu, Phys. Rev. A 61, 023402 (2000)
L. Tie, J.K. Xue, Phys. Rev. A 82, 053623 (2010)
S.K. Adhikari, L. Salasnich, Phys. Rev. A 78, 043616 (2008)
S.K. Adhikari, B.A. Malomed, L. Salasnich, F. Toigo, Phys. Rev. A 81, 053630 (2010)
T.D. Lee, C.N. Yang, Phys. Rev. 105, 1119 (1957)
T.D. Lee, K. Huang, C.N. Yang, Phys. Rev. 106, 1135 (1957)
W.Y. Wang, W.S. Duan, J. Liu, Int. J. Mod. Phys. C 23, 11 (2012)
G.F. Wang, L.B. Fu, J. Liu, Phys. Rev. A 73, 13619 (2006)
L.H. Wu, W.S. Duan, Chin. Phys. B 18, 10 (2009)
J. Liu et al., Phys. Rev. A 66, 023404 (2002)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Yan, M., Duan, WS., Dou, FQ. et al. Self-trapping and its periodic modulation of superfluid Fermi gases in one-dimensional accelerating optical lattice from BEC to unitarity regime. Eur. Phys. J. B 87, 180 (2014). https://doi.org/10.1140/epjb/e2014-50161-x
Received:
Revised:
Published:
DOI: https://doi.org/10.1140/epjb/e2014-50161-x