Study On Entropic Uncertainty In Three-level Atomic System

The uncertainty principle is one of the fundamental principles of quantum mechan-ics,which reveals that the nature of the world is unpredictable.As one of the main methods to measure uncertainty,the entropic uncertainty has been paid much at-tention in recent years.The entropic uncertainty has important application value in many aspects,such as quantum precision measurement,quantum key distri-bution,quantum entanglement witness.At present,there are a large number of researches on entropy uncertainty which are confined to two-level atomic systems,and there are few researches on entropy uncertainty of high-dimensional system-s.However,high-dimensional systems show higher fault tolerance and stronger robustness when dealing with quantum information problems.Therefore,it is a future trend in the field of quantum optics and quantum information to study the quantum effect of higher-dimensional systems.This paper studies the dynamics of the entropic uncertainty on three-level systems under different noise environments and obtains some innovative results.The specific contents and research results are as follows:1.The entropic uncertainty dynamics of v-type three-level atomic systems in non-Markovian environments is studied,and the effects of the quantum memory system and quantum spontaneous interference on the entropic uncertainty are in-vestigated.The results show that the entropic uncertainty can be reduced by using a quantum memory system and adjusting the intensity of quantum spontaneous interference.Especially,the entropic uncertainty can be decreased obviously when both the quantum memory system and the spontaneously generated interference are simultaneously applied2.The entropic uncertainty dynamics of three different types of three-level atomic systems under random telegraph environments are studied,and the effects of the relative coupling strength and environmental coupling mode on the entropy uncertainty in Markovian and non-Markovian cases are investigated.The results show that the entropy uncertainty of ? type atomic system is lower than that of V type and ? type atomic system.In Markovian case,the entropic uncertainty can be reduced by reducing the relative coupling strength or placing the three-level atomic system in two independent environments.In the non-Markovian case,the entropic uncertainty can be reduced by increasing the relative coupling strength or placing the three-level atomic system in a common environment.