Abstract
Bose-Einstein condensates in optical lattices are a valuable tool for investigating the nonlinear dynamics of matter waves in periodic potentials. In this review, we present and discuss recent experiments on the free expansion, nonlinear Landau-Zener tunneling and instabilities of condensates in such potentials.
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
References
K. W. Madison, F. Chevy, W. Wohlleben, and J. Dalibard, Phys. Rev. Lett. 84, 806 (2000).
B.P. Anderson and M.A. Kasevich, Science 282, 1686 (1998).
For a review of optical lattice research, see D.R. Meacher, Contemp. Phys. 39, 329 (1998).
S. Chu, L. Hollberg, J. E. Bjorkholm, A. Cable, and A. Ashkin, Phys. Rev. Lett. 55, 48 (1985).
E. L. Raab, M. Prentiss, A. Cable, S. Chu, and D. E. Pritchard, Phys. Rev. Lett. 59, 2631 (1987).
For an introduction to the Gross-Pitaevskii equation as applied to BECs, see F. Dalfovo, S. Giorgini, L.P. Pitaevskii, and S. Stringari, Rev. Mod. Phys. 71, 463 (1999).
C. Kittel, Introduction to Solid State Physics, New York: Wiley&Sons, 7th ed. (1996).
M. Cristiani, O. Morsch, J. H. Müuller, D. Ciampini, and E. Arimondo, Phys. Rev. A 65, 063612 (2002).
J.H. Müuller, D. Ciampini, O. Morsch, G. Smirne, M. Fazzi, P. Verkerk, F. Fuso, and E. Arimondo, J. Phys. B 33 4095 (2000).
Y.B. Band, B. Malomed, and M. Trippenbach, Phys. Rev. A 65, 033607 (2002).
D.-I. Choi and Q. Niu, Phys. Rev. Lett. 82, 2022 (1999).
Y. Castin and R. Dum, Phys. Rev. Lett. 77, 5315 (1996).
O. Morsch, M. Cristiani, J. H. Müuller, D. Ciampini, and E. Arimondo, Phys. Rev. A 66, 021601 (2002).
P. Pedri, L. Pitaevskii, S. Stringari, C. Fort, S. Burger, F. S. Cataliotti, P. Maddaloni, F. Minardi, and M. Inguscio, Phys. Rev. Lett. 87, 220401 (2001).
A. Görlitz, J. M. Vogels, A. E. Leanhardt, C. Raman, T. L. Gustavson, J. R. Abo-Shaeer, A. P. Chikkatur, S. Gupta, S. Inouye, T. Rosenband, and W. Ketterle, Phys. Rev. Lett. 87, 130402 (2001).
S. Burger, F.S. Cataliotti, C. Fort, P. Maddaloni, F. Minardi, and M. Inguscio, Europhys. Lett. 57, 1 (2002).
O. Morsch, J. H. Müuller, M. Cristiani, D. Ciampini, and E. Arimondo, Phys. Rev. Lett. 87, 140402 (2001).
M. Jona-Lasinio, O. Morsch, M. Cristiani, N. Malossi, J.H. Müuller, E. Courtade, M. Anderlini, and E. Arimondo, e-print: cond-mat/0306210 (accepted for publication in Phys. Rev. Lett.).
Biao Wu and Qian Niu, New J. Phys. 5, 104 (2003).
R.G. Scott, A.M. Martin, T.M. Fromhold, S. Bujkiewicz, F.W. Sheard, and M. Leadbeater, Phys. Rev. Lett. 90, 110404 (2003).
M. Cristiani, O. Morsch, N. Malossi, M. Jona-Lasinio, M. Anderlini, E. Courtade, and E. Arimondo, e-print: cond-mat/0311160.
Andrey A. Sukhorukov, Dragomir Neshev, Wieslaw Krolikowski, and Yuri S. Kivshar, e-print: nlin.PS/0309075.
B. Eiermann, P. Treutlein, Th. Anker, M. Albiez, M. Taglieber, K.-P. Marzlin, and M. K. Oberthaler, Phys. Rev. Lett. 91, 060402 (2003).
G. Modugno, F. Ferlaino, R. Heidemann, G. Roati, and M. Inguscio, Phys. Rev. A 68, 011601 (2003).
H. Ott, E. de Mirandes, F. Ferlaino, G. Roati, G. Modugno, and M. Inguscio, e-print: cond-mat/0311261.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2004 Kluwer Academic Publishers
About this paper
Cite this paper
Morsch, O., Arimondo, E. (2004). Bose-Einstein Condensates in Optical Lattices in the Nonlinear Regime. In: Abdullaev, F.K., Konotop, V.V. (eds) Nonlinear Waves: Classical and Quantum Aspects. NATO Science Series II: Mathematics, Physics and Chemistry, vol 153. Springer, Dordrecht. https://doi.org/10.1007/1-4020-2190-9_19
Download citation
DOI: https://doi.org/10.1007/1-4020-2190-9_19
Publisher Name: Springer, Dordrecht
Print ISBN: 978-1-4020-2188-6
Online ISBN: 978-1-4020-2190-9
eBook Packages: Chemistry and Materials ScienceChemistry and Material Science (R0)