Research On The Quantum Zeno And Anti-Zeno Effects Based On A Trapped Ion

Quantum Zeno and anti-Zeno effects are valued both theoretically and experimentally for its connection to quantum measurements.In this thesis,we describe the theory of both quantum Zeno and anti-Zeno effects as well as their experimental verification based on a single trapped ion.Theoretically,we first investigate the dynamics of a system when there is a quantum measurement by quantum jump method and numerically simulate the photon generation and collection processes based on the Monte Carlo method.Based on this,we briefly review the theory of quantum Zeno and anti-Zeno effects caused by complete measurement,and propose quantum Zeno and anti-Zeno effect models under incomplete measurement conditions.We find that if the detuning of measurement laser is not zeno,incomplete measurements will lead to more pronounced inhibition(Zeno)or enhancement(anti-Zeno)effects than complete measurements do when the measurement time is properly set.Experimentally,we verify the quantum anti-Zeno effect in three steps.Firstly,we obtain the minimum time scale required to complete a measurement under our experimental conditions.Then we demonstrate the quantum anti-Zeno effect by complete measurements by setting the measurement time to this minimum time scale.It is observed that the evolution is remarkably enhanced by measurements,and the experimental results are in good agreement with the theoretical ones.Finally,we obtain more pronounced enhancement of system evolution by incomplete measurements with some special values of measurement time,which vertifies the theoretical model proposed in the thesis.