Bounds on adiabatic path geometry from the width class of the gap profile

Mancheon Han, Sangkook Choi

In an adiabatic evolution, the wave function follows the path of ground states $|{\Phi }_0(s)⟩$ of a Hamiltonian $H(s)$ as $s$ is tuned from $0$ to $1$. The geometry of this adiaba…