RT Journal Article
T1 Stable Bloch oscillations of cold atoms with time-dependent interaction
A1 Gaul, C.
A1 Lima, R. P. A.
A1 Díaz García, Elena
A1 Mueller, C. A.
A1 Domínguez-Adame Acosta, Francisco
AB We investigate Bloch oscillations of interacting cold atoms in a mean-field framework. In general, atom-atom interaction causes dephasing and destroys Bloch oscillations. Here we show that Bloch oscillations are persistent if the interaction is modulated harmonically with suitable frequency and phase. For other modulations, Bloch oscillations are rapidly damped. We explain this behavior in terms of collective coordinates whose Hamiltonian dynamics permits one to predict a whole family of stable solutions. In order to describe also the unstable cases, we carry out a stability analysis for Bogoliubov excitations. Using Floquet theory, we are able to predict the unstable modes as well as their growth rate, found to be in excellent agreement with numerical simulations.
PB American Physical Society
SN 0031-9007
YR 2009
FD 2009-06-26
LK https://hdl.handle.net/20.500.14352/44400
UL https://hdl.handle.net/20.500.14352/44400
LA eng
NO [1] F. Bloch, Z. Phys. 52, 555 (1929).[2] J. Feldmann et al., Phys. Rev. B 46, R7252 (1992).[3] K. Leo et al., Solid State Commun. 84, 943 (1992).[4] M. BenDahan, E. Peik, J. Reichel, Y. Castin, and C. Salomon, Phys. Rev. Lett. 76, 4508 (1996).[5] S. R. Wilkinson, C. F. Bharucha, K. W. Madison, Q. Niu, and M. G. Raizen, Phys. Rev. Lett. 76, 4512 (1996).[6] B. P. Anderson and M. A. Kasevich, Science 282, 1686 (1998).[7] G. Roati et al., Phys. Rev. Lett. 92, 230402 (2004).[8] L. Fallani et al., Phys. Rev. Lett. 93, 140406 (2004).[9] A. Trombettoni and A. Smerzi, Phys. Rev. Lett. 86, 2353 (2001).[10] D. Witthaut, M. Werder, S. Mossmann, and H. J. Korsch, Phys. Rev. E 71, 036625 (2005).[11] E. A. Donley et al., Nature (London) 412, 295 (2001).[12] M. Fattori et al., Phys. Rev. Lett. 100, 080405 (2008).[13] M. Gustavsson et al., Phys. Rev. Lett. 100, 080404 (2008).[14] M. Salerno, V. V. Konotop, and Yu. V. Bludov, Phys. Rev. Lett. 101, 030405 (2008).[15] F. Kh. Abdullaev, E. N. Tsoy, B. A. Malomed, and R. A. Kraenkel, Phys. Rev. A 68, 053606 (2003).[16] O. Morsch and M. Oberthaler, Rev. Mod. Phys. 78, 179 (2006).[17] B. Wu and Q. Niu, New J. Phys. 5, 104 (2003).[18] G. Teschl, Ordinary Differential Equations and Dynamical Systems (unpublished), available at http://www.mat. univie.ac.at/gerald/ftp/book-ode/.[19] S. Drenkelforth et al., New J. Phys. 10, 045027 (2008).
NO © 2009 The American Physical Society.Travel between Bayreuth and Madrid is supported by the DAAD-MEC joint program Acciones Integradas. Work at Madrid was supported by MEC (Project MOSAICO) and BSCH-UCM (Project No. PR34/07-15916). R. P.  A. L. ac knowledges support by MEC through the Juan de la Cierva program and G. Rowlands for helpful discussions. C. G. acknowledges support by DFG and DAAD, and C. M. acknowledges helpful discussions with Y. Gaididei
NO MEC
NO BSCH-UCM
NO DFG
NO DAAD
DS Docta Complutense
RD 1 may 2024