@article{ISI:000391850800001,
 abstract = {It is known that there are lattice models in which noninteracting
particles get dynamically localized when periodic delta-function kicks
are applied with a particular strength. We use both numerical and
analytical methods to study the effects of interactions in three
different models in one dimension. The systems we have considered
include spinless fermions with interactions between nearest-neighbor
sites, the Hubbard model of spin-1/2 fermions, and the Bose-Hubbard
model with on-site interactions. We derive effective Floquet
Hamiltonians up to second order in the time period of kicking. Using
these we show that interactions can give rise to a variety of
interesting results such as two-body bound states in all three models
and dispersionless few-particle bound states with more than two
particles for spinless fermions and bosons. We substantiate these
results by exact diagonalization and stroboscopic time evolution of
systems with a few particles. We derive a pseudo-spin-1/2 limit of the
Bose-Hubbard system in the thermodynamic limit and show that a special
case of this has an exponentially large number of degenerate eigenstates
of the effective Hamiltonian. Finally, we study the effect of changing
the strength of the delta-function kicks slightly away from perfect
dynamical localization; we find that a single particle remains
dynamically localized for a long time after which it moves
ballistically.},
 article-number = {014305},
 author = {Agarwala, Adhip and Sen, Diptiman},
 doi = {10.1103/PhysRevB.95.014305},
 eissn = {2469-9969},
 issn = {2469-9950},
 journal = {PHYSICAL REVIEW B},
 month = {JAN 13},
 number = {1},
 times-cited = {18},
 title = {Effects of interactions on periodically driven dynamically localized
systems},
 unique-id = {ISI:000391850800001},
 volume = {95},
 year = {2017}
}