Adiabatic Shortcut and Quantum Correlation in Composite System

Abstract

The adiabatic shortcut, which can achieve the adiabatic effect by a non-adiabatic process, has drawn considerable attention in the context of quantum control recently. In this work, we study the adiabatic shortcut for an interacting spin-1/2 composite system and the quantum correlation between the subsystems. The results show that, the Berry phases and the transitionless quantum driving (TQD) Hamiltonian for the composite system and the subsystems are related to the correlation between the two subsystems. By study the cases of no correlation and large correlation, the quantum entanglement and the Berry phases of the subsystem, as well as their influences on the TQD Hamiltonian are discussed. This means that, we can modify the correlation between the subsystem to control the adiabatic shortcuts of the subsystems. This provides a feasible way to study the adiabatic shortcuts of the composite system and its subsystems.