title: Superfluid fermi gas in optical lattices: self-trapping, stable, moving solitons and breathers.
abstract: We predict the existence of self-trapping, stable, moving solitons and breathers of Fermi wave packets along the Bose-Einstein condensation (BEC)-BCS crossover in one dimension (1D), 2D, and 3D optical lattices. The dynamical phase diagrams for self-trapping, solitons, and breathers of the Fermi matter waves along the BEC-BCS crossover are presented analytically and verified numerically by directly solving a discrete nonlinear Schrödinger equation. We find that the phase diagrams vary greatly along the BEC-BCS crossover; the dynamics of Fermi wave packet are different from that of Bose wave packet.
authors.affiliation: Physics and Electronics Engineering College, Northwest Normal University, Lanzhou 730070, People's Republic of China. xuejk@nwnu.edu.cn
authors.forename: Ju-Kui
authors.initials: JK
authors.lastname: Xue
authors.forename: Ai-Xia
authors.initials: AX
authors.lastname: Zhang