  Mott insulators provide stable quantum states and long coherence times to due
to small number fluctuations, making them good candidates for quantum memory
and atomic circuits. We propose a proof-of-principle for a 1D Mott switch using
an ultracold Bose gas and optical lattice. With time-evolving block decimation
simulations -- efficient matrix product state methods -- we design a means for
transient parameter characterization via a local excitation for ease of
engineering into more complex atomtronics. We perform the switch operation by
tuning the intensity of the optical lattice, and thus the interaction strength
through a conductance transition due to the confined modifications of the
"wedding cake" Mott structure. We demonstrate the time-dependence of Fock state
transmission and fidelity of the excitation as a means of tuning up the device
in a double well and as a measure of noise performance. Two-point correlations
via the $g^{(2)}$ measure provide additional information regarding superfluid
fragments on the Mott insulating background due to the confinement of the
potential.
