Non-adiabatic Response and Counterdiabatic Driving of Coherent States

Abstract

Quantum state preparation has drawn great attention to physical community. In order to solve this challenge, the protocol of counterdiabatic driving was put forward. In this paper, the idea was applied to two important models, Coherent states and Spin coherent states, which had played important roles in the development of quantum optic and atomic physics. If their parameters vary slowly, the evolution can be studied by the adiabatic perturbation theory. Furthermore, their non-adiabatic response are investigated respectively. Specifically, we build the relationship between the generalized force and Berry curvature of coherent states and spin coherent states. And the leading corrections to energy are also been researched, which lead to the mass and moment of inertia renormalization respectively. In addition, we also calculate the broadening of the energy distribution (energy variance), which determined by the metric tensor. Finally, in order to suppress transition and speed up the evolution, the counterdiabatic Hamiltonians are designed, which would have potential use in the field of quantum manipulation.