Abstract
The ability to vary the parameters of the laser creating the standing wave over time opens up a wide range of possibilities. For example, it is possible to create networks in motion, in which the positions of nodes and antinodes move according to a controlled function of time. We began by establishing the equivalence of several Hamiltonians for this problem, using unitary transformations, with each Hamiltonian proving useful for tackling a given phenomenon. We then turned our attention to the phenomenon of dynamic localization, obtained by periodically modulating the position of the network. We have shown that this modulation can have spectacular consequences, such as virtually eliminating the tunneling effect. We describe how to demonstrate and exploit this effect for one- and two-dimensional gratings.
