Dynamics of attractively interacting fermi atoms in one-dimensional optical lattices; Non-equilibrium simulations of fermi superfluidity

Okumura, Masahiko   ; Onishi, Hiroaki  ; Yamada, Susumu  ; Machida, Masahiko  

We study center of mass (CoM) motions of attractively interacting fermionic atoms loaded on an one-dimensional optical lattice confined by a harmonic potential at zero temperature by using adaptive time-dependent density-matrix renormalization-group method. We find that the CoM motions in weak and strong attraction show underdamped and overdamped motions, respectively, which are consistent with the experimental results of the CoM motion in the three-dimensional optical lattice. In addition, we find spin-imbalance effects on the CoM motion, which slow the CoM motion down.