Quantum Zeno Effect in Quantum Chaotic Systems

艾清, 廖洁桥

Sanguk Kim, Young-Tak Chough, Kyungwon An

We analyzed the effect of frequent measurements on the quantum systems that are chaotic in the classical limit. It is shown that the delta-kicked rotator, a well-known example of quantum chaos, is too special to be used as a testing ground for the effects of the repeated measurements. The abrupt change of state vectors by the \ensuremath{\delta}-function kick singular interruptions causes a quantum anti-Zeno effect. However, in more realistic rotators with interaction potentials of continuous time dependence, the quantum Zeno effect prevails.

Alexander D Panov

Zhuo‐Liang Cao

As we know,quantum Zeno effect may appear when frequent measurements are performed on an unstable quantum system.This effect is well popular in quantum information and quantum computation.However,most of the previous discussions on quantum Zeno effect were focused on two-level systems.In order to comprehend quantum Zeno effect and prevent the transition in different quantum systems better,we verified the existence of quantum Zeno effect in three-level systems.Furthermore,the existence of quantum Zeno effect in multilevel systems could also be fully verified similarly.

Casati, Giulio

Zhenbo Ni, Yonggang Peng, Yujun Zheng

The quantum Zeno effect (QZE) is widely employed in quantum engineering due to the issue of frequent measurements freezing a quantum system. In this study, the quantum Zeno factor is introduced to characterize the quantum Zeno capacity of a quantum system. The quantum Zeno factor reveals that the quantum Zeno effect is dependent on the evolution mode of quantum states, which is semi-irrelevant to conventional energy uncertainty and extends the QZE domain. The Zeno factor provides a new consideration to qualify the (anti-)Zeno capacity of a quantum system for its applications: a large quantum Zeno factor value indicates that a quantum system is of a QZE quality. The numerical results of the quantum Zeno capacity are shown using two typical examples: tailing the dynamic evolution modes using the quantum Zeno factor in a three-level system, and quantifying the message exchange between qubits in a coupled qubit system using a quantum Zeno factor.