Suppressing nonadiabatic transitions during adiabatic generation of highly entangled states in bosonic Josephson junctions
Takuya Hatomura · Physical Review A · 2019
We study suppression of nonadiabatic transitions during adiabatic generation of a catlike state (a superposition of different-sized cat states) and a spin squeezed state in a bosonic Josephson junction. In order to minimize the adiabatic error, we use the quantum adiabatic brachistochrone, which enables us to track a geometrically efficient path in parameter space under given conditions without requiring additional terms. For the creation of a catlike state, divergence of the quantum geometric tensor associated with gap closing at the critical point is avoided because of the parity conservation. The resulting schedules of parameters are smooth and monotonically decreasing curves. Use of these schedules offers a reduction in the time to generate both a catlike state and a spin squeezed state.