Shortcuts to adiabatic passage for fast generation of Greenberger-Horne-Zeilinger states by transitionless quantum driving.
Berry's approach on "transitionless quantum driving" shows how to set a Hamiltonian which drives the dynamics of a system along instantaneous eigenstates of a reference Hamiltonian to reproduce the same final result of an adiabatic process in a shorter time. In this paper, motivated by transitionless quantum driving, we construct shortcuts to adiabatic passage in a three-atom system to create the Greenberger-Horne-Zeilinger states with the help of quantum Zeno dynamics and of non-resonant lasers. The influence of various decoherence processes is discussed by numerical simulation and the result proves that the scheme is fast and robust against decoherence and operational imperfection.
Department of Physics, Fuzhou University, Fuzhou 350002, China.
Ye-Hong
YH
Chen
Department of Physics, Fuzhou University, Fuzhou 350002, China.
Yan
Y
Xia
Department of Physics, Harbin Institute of Technology, Harbin 150001, China.
Jie
J
Song
Zhicheng College, Fuzhou University, Fuzhou 350002, China.
Qing-Qin
QQ
Chen