  The kicked rotor system is a textbook example of how classical and quantum
dynamics can drastically differ. The energy of a classical particle confined to
a ring and kicked periodically will increase linearly in time whereas in the
quantum version the energy saturates after a finite number of kicks. The
quantum system undergoes Anderson localization in the angular-momentum space.
Conventional wisdom says that in a many-particle system with short-range
interactions the localization will be destroyed due to the coupling of widely
separated momentum states. Here we provide evidence that for an interacting
one-dimensional Bose gas, the Lieb-Linger model, the dynamical localization can
persist.
