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Neimenggu Shi-da xuebao. Zhexue shehui kexue hanwen ban

A Study on Quantum Entanglement Between Two Modes in the System of One Moving Atom Interacting with the Two-Mode Squeezing Vacuum Fields

Yang Rui-fang

Published Jan 1, 2007• 0 citations
OpenAlex

Abstract

The quantum entanglement properties of the two-mode squeezing vacuum field interacting with the atomic motion via two-photon transition were studied based on quantum theory.The influences of atomic motion and the field structure on the quantum entanglement were investigated as the initial state of atom is in the excited state.The results showed that the degree of entanglement between two mode vacuum fields is influenced by the values of velocity of the atomic motion and the structure of the field-mode,but the periodic evolution of the entanglement properties cannot be destroyed.

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The quantum entanglement properties of the two-mode squeezing vacuum field interacting with the atomic motion via two-photon transition were studied based on quantum theory.The influences of atomic motion and the field structure on the quantum entanglement were investigated as the initial state of atom is in the excited state.The results showed that the degree of entanglement between two mode vacuum fields is influenced by the values of velocity of the atomic motion and the structure of the field-mode,but the periodic evolution of the entanglement properties cannot be destroyed.
The properties of the entanglement between squeezing vacuum state field and moving two-level atom are investigated by using the von Neumann entropy. The influences of field-mode structure of moving two-level atom and the squeezing degree of initial squeezing vacuum state field on the entanglement of the quantum system are discussed. The results show that atomic movement can result in evolution periodically of the degree of entanglement. The quantum state will be maximally entangled state for a long time when the squeezing degree are high, the increase of field-mode structure result in more disentangled states.
The information entropy squeezing properties of the atom in motion interacting with the two-mode squeezing vacuum field via two-photon transition are studied by means of quantum theory.The influences of the velocity of atomic motion,the field structure and the parameter of squeezing field on the information entropy squeezing properties of the atom are investigated as the initial atom is in any state.The results indicate that the value of squeezed component of the atomic dipole,squeezed frequency,amplitude and squeezed direction of the atomic information entropy can be controlled by choosing the atomic initial state,the velocity of atomic motion,the field structure and the squeezing factor of field and the squeezing phase angle of the field,respectively.In the longer time,squeezing effects of the atom in motion can be obtained by choosing the system parameters.The mixing degree of atomic initial state has no influence on the entropy squeezing of the atom in motion.
This paper investigates the entropy squeezing of a moving two-level atom interacting with the two-mode entangled coherent field via two-photon transition by using an entropic uncertainty relation and the degree of entanglement between the two-mode fields by using quantum relative entropy. The results obtained from numerical calculation indicate that the squeezed period, the duration of entropy squeezing and the maximal squeezing can be controlled by appropriately choosing the intensity of the light field, the atomic motion and the field-mode structure. The atomic motion leads to the periodic recovery of the initial maximal degree of entanglement between the two-mode fields. Moreover, there exists a corresponding relation between the time evolution properties of the atomic entropy squeezing and those of the entanglement between the two-mode fields.
The entropy evolution properties of field in the system of two-mode squeezing vacuum field interacting with the atomic motion are studied by means of quantum theory.The influences of atomic motion and the field structure in different initial states are discussed emphatically.The results show that the field entropy is determined by the velocity of the atomic motion and the parameter of the field mode structure through time parameter sin~2(epgt/2).The atomic motion and the parameter of the field mode structure lead to additional vibration entropy.
The entanglement in the system which consists of two-mode squeezed vacuum state and Bose- Einstein condensate in two-photon process is investigated.The entanglement of field-atom and the entangle- ment between the two-mode field are investigated using the quantum reduced entropy and quantum relative entropy,respectively.The influences of the initial squeezed parameter of field and the interaction between atoms on the evolution of the entanglement of field-atom and one of two modes of field are discussed.
Under the condition of two-mode squeezed vacuum state field interacting with an atom via the intensity-dependent coupling,the degree of entanglement between the two mode fields is investigated by using quantum relative entropy.It is found that the evolution of degree of two-mode fields entanglement is periodic.When the initial field is strong,the degree of entanglement reach maximum at scaled time gt=kπ(k=0,1,2,…),and the different between the maximum and minimum of the entanglement measures is about 1.3 generally.When the initial field is very weak,the influence of atom initial state on the entanglement evolution is sensitive.And the maximum entanglement appears under the situation of atom in a superposition state of upper level and lower level with equal probability.The entanglement of the two mode fields can be adjusted by controlling the time of the atom passing the cavity and the initial state of the atom.