  We investigate the applicability of laser assisted tunneling in a strongly
interacting one-dimensional Bose gas (the Tonks-Girardeau gas) in optical
lattices. We find that the stroboscopic dynamics of the Tonks-Girardeau gas in
a continuous Wannier-Stark-ladder potential, supplemented with laser assisted
tunneling, effectively realizes the ground state of one-dimensional hard-core
bosons in a discrete lattice with nontrivial hopping phases. We compare
observables that are affected by the interactions, such as the momentum
distribution, natural orbitals and their occupancies, in the time-dependent
continuous system, to those of the ground state of the discrete system.
Stroboscopically, we find an excellent agreement, indicating that laser
assisted tunneling is a viable technique for realizing novel ground states and
phases with hard-core one-dimensional Bose gases.
