Dynamics of Bose condensate in optical lattice: an effective mass approach

Zhenglu Duan, Michael J. Steel, AiTing Xu +1 more

Han Pu, Leslie O. Baksmaty, W. Zhang +2 more

We investigate the time evolution of a Bose-Einstein condensate in a periodic optical potential. Using an effective mass formalism, we study the equation of motion for the envelope function modulating the Bloch states of the lattice potential. In particular, we show how the negative effective-mass affects the dynamics of the condensate.

R. Chang, Shreyas Potnis, Ramón Ramos +6 more

Here, we report on the first experimental observation of effective mass dynamics using a Bose-Einstein condensate of Rubidium-87 atoms initially in the ground band of an optical lattice. By studying the response of the particles to an abruptly applied force, we show that, while the long-time behaviour is described by the effective mass, the initial response is indifferent to the presence of the lattice. Our results represent an important contribution towards a full understanding of the ultrafast response of electrons in a solid, relevant for example in the interaction of few-cycle laser pulses with dielectric and semiconductor materials.

W. C. Wu, Chou-Chun Huang

Sarah B. McKinney

Wen-Hsuan Kuan, Tsin-Fu Jiang, Szu Cheng Cheng

[[abstract]]We study the instabilities, Landau and dynamical instabilities, that are two mechanisms responsible for the breakdown of superfluidity in Bose-Einstein condensates interacting with a one-dimensional optical lattice. An effective-mass Gross-Pitaevskii equation was used to calculate the excitation spectrum and the condensate density of Bose-Einstein condensates in a weak periodic potential. After the condensate velocities greater than the speed of sound, we observe a decreasing of the condensate density, which is the onset of Landau instability. The condensate is dissipated, but not completely, from colliding with the thermal atom cloud. For even higher velocities of the condensate, we find a fast decreasing of the condensate density until full removal of the condensate. The regime of totally removing of the condensate is happened at the inverse effective mass of the condensate becoming zero or negative, where the condensate is on the dynamical instability.