文档介绍：金刚石 NV 中心中单量子比特的非阿贝尔几
何控制
卢竞,周兰
湖南师范大学物理与信息科学学院,长沙 410081
摘要:我们提出了一个在金刚石氮-空位系统中利用光场绝热操纵实现单量子比特的旋转。量
子比特编码在处于低温的金刚石氮-空位系统的两个简并的基态上,并利用绝热演化中的非阿
贝尔几何相位实现单量子比特门。此方案的可行性在于将金刚石氮-空位系统复杂的能级结构
模型化为一个具有双激发态的四能级结构,在此四能级结构中存在两个暗态,两个简并暗态的
非绝热跃迁产生非阿贝尔几何相位。
关键词:NV 中心,几何相位,绝热演化
中图分类号:
Non-Abelian geometrical control of a qubit in an
NV center in diamond
Lu Jing , Zhou Lan
Department of Physics, Hunan Normal University, Changsha 410081
Abstract: We propose an approach for an optical qubit rotation in the negatively charged
nitrogen-vacancy (NV) center in diamond. The qubit is encoded in the ground degenerate
states at the relatively low temperature limit. The basic idea of the rotation procedure is the
non-Abelian geometric phase in an adiabatic passage, which is produced by the nonadiabatic
transition between the two degenerate dark states. The feasibility is based on the ess of
modeling the NV center as an excited-doublet four-level atom.
Key words: NV center, geometrical phase, adiabatic evolution
0 Introduction
Phases play a major role in all interference and diffraction phenomena in optics, wave
physics and quantum mechanics. The study of phase has generated a large number of practical
device [1]: superconducting interference device, interferometers to measure lengths and small
rotations, modulators to modulate wavefront, etc. In theoretical physics, phases are involved in
基金项目: the Research Fund for the Doctoral Program of Higher Education (20104306120003)
作者简介: Lu Jing(1977-),male,associate professor,major research direction:quantum physics and quantum infor-
mation.
-1-
the distinction between fermions and bosons, decoherence of a quantum system and Aharonov-
Bohm effect. It is well known that a quantum system acquire a Berry phase [2] which evolves
adiabatically around a circuit by varying parameters in its Hamiltonian. This phase is a sum
of two parts. The first one is related to the instantaneous energy of the system, which is called