Matter-wave revival of binary mixtures in optical lattices

Quantum-phase collapse and revival are studied in a binary mixture of bosonic atomic species loaded in a one-dimensional optical lattice. Oscillations in the quasimomentum distribution are usually observed after a sudden quench of the lattice parameters from the superfluid regime to the Mott-insulator regime. The influence of one species dynamics on the collapse and revival oscillations in the quasimomentum distribution of the second species is examined. The nontrivial dependencies on the interspecies and intraspecies interactions are illustrated distinguishing between the zero-tunneling and nonzero-tunneling cases.

Figure 1

Revival oscillations for particle species $A$ for varying parameter $U_{AB}$ on a lattice with no tunneling. The lattice has $L=51$ sites. The system is initially in the coherent product state (11) with ${\alpha }_i$ and ${\beta }_i$ defined by Eq. (4) and $N_A=N_B=25$. Hopping parameters are $J_A=J_B=0$ during the evolution. The unit of energy is $U_{AA}\equiv 1$. The oscillations do not depend on $U_{BB}$.

Figure 2

Revival oscillations for particle species $A$ for varying parameter $U_{AB}$ on a lattice with no tunneling. The lattice has $L=51$ sites. The system is initially in the coherent product state (11) with ${\alpha }_i$ and ${\beta }_i$ defined by Eq. (4) and $N_A=N_B=25$. Hopping parameters are $J_A=J_B=0$ during the evolution. The unit of energy is $U_{AA}\equiv 1$. The oscillations do not depend on $U_{BB}$.

Figure 3

Normalized quasimomentum revivals for particle species $A$ on a lattice with $L=51$ sites and $N_A=N_B=25$ particles for varying parameter $U_{AB}$ and for a) $U_{BB}=0$, b) $U_{BB}=1/10$, c) $U_{BB}=1$, and d) $U_{BB}=5$. Hopping parameters are $J_A=0$ and $J_B=1/16$ for $t>0$. The unit of energy is $U_{AA}\equiv 1$.

Figure 4

Normalized quasimomentum revivals for particle species $A$ on a lattice with $L=51$ sites and $N_A=N_B=25$ particles for varying parameter $U_{BB}$ and for (a) $U_{AB}=0$, (b) $U_{AB}=1/10$, (c) $U_{AB}=1$, and (d) $U_{AB}=5$. Hopping parameters are $J_A=0$ and $J_B=1/16$ for $t>0$. The unit of energy is $U_{AA}\equiv 1$.

Figure 5

The dependence of revival attenuation on the parameter $U_{BB}$ for peaks in Fig. 4. (a) The height of the peak at $t=2$. (b) The height of the peak at $t=4$.