Crossbar arrays and shuttling
Electrons can be transported through controlled dot arrays.
$$H(t)=\sum_i\epsilon_i(t)n_i+\sum_{\langle ij\rangle}t_{ij}(t)c_i^\dagger c_j+\mathrm{h.c.}$$
Physical intuition
Electrons can be transported through controlled dot arrays.
Deep dive: physical mechanism
Sequential tunnel pulses move carriers while preserving spin coherence when sufficiently adiabatic.
What is measured experimentally?
Charge sensing and spin-return fidelity test shuttling.
Assumptions, noise and limitations
Disorder, valley crossings and timing errors affect transport.
Research and simulation exercise
Simulate adiabatic transfer through three sites.
Connect the ideas
Explore the chapter overview, learning path, and references.