Quench dynamics of two-component dipolar Fermions in a Quasiperiodic potential*

Motivated by the recent experiments in fermionic polar gases, we study the quenched
dynamics of two-component dipolar fermions, in the presence and absence of a
quasiperiodic potential. We investigate the localization of the charge and spin degree of
freedom separately, by probing local and global dynamical observables [1]. To study non-
equilibrium dynamics, we start with two different product states, doublons and a Neel
state. We calculate the long time dynamics of the fermionic Hamiltonian using exact-
diagonalization and matrix-product-state formalisms. In the case of doublons, we
demonstrate the transition from delocalized to localized MBL phase.
In the case of Neel state, by introducing strong enough disorder,
we show that the localization of the spin degree of freedom is also possible along with the
charge degree of freedom when on-site and long-range interaction couplings are equal in
strength. Our predictions for localizations of both charge and spin degrees of freedom should be
observed in experiments with fermionic dipolar atoms subject to a quasiperiodic potential.
[1] B. Pandey, E. Dagotto, and S. K. Pati, in preparation.