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Optical Technique

The influences of the selective atomic measurement on entanglement properties between atom inside cavity and light field

LU Dao-ming

Published Jan 1, 2011• 0 citations
OpenAlex

Abstract

Considering two two-level atoms initially in the entanglement state,one atom of two atoms is put into initially Fock state light cavity and has resonant interaction.The entanglement evolution between atom in cavity and light field is investigated.Negativity is used to quantify the degree of entanglement.Through comparing the results if direct selective measurement is performed or not,the influences of state-selective measurement of the atom outside the cavity on the entanglement properties of between atom inside cavity and field are discussed.The results obtained using the numerical method show that the entanglement between atom inside cavity and light field is strengthened through the state-selective measurement of the atom outside the cavity.

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Considering two two-level atoms initially in the entanglement state,one atom of two atoms is put into initially Fock state light cavity and has resonant interaction.The entanglement evolution between atom in cavity and light field is investigated.Negativity is used to quantify the degree of entanglement.Through comparing the results if direct selective measurement is performed or not,the influences of state-selective measurement of the atom outside the cavity on the entanglement properties of between atom inside cavity and field are discussed.The results obtained using the numerical method show that the entanglement between atom inside cavity and light field is strengthened through the state-selective measurement of the atom outside the cavity.
Considering three two-level atoms initially in the W or Greenberger—Home—Zeilinger (GHZ) state, one of the three atoms is put into an initially coherent light cavity and made to resonantly interact with the cavity. The two-atom entanglement evolution outside the cavity is investigated. The influences of state-selective measurement of the atom inside the cavity and strength of the light field on the two-atom entanglement evolution outside the cavity are discussed. The results obtained from the numerical method show that the two-atom entanglement outside the cavity is strengthened through state-selective measurement of the atom inside the cavity. In addition, the strength of the light field also influences the two-atom entanglement properties.
Considering three two-level atoms initially in the W state,two atoms of the three atoms were put into initially empty cavity and made resonant interaction.The atom-cavity entanglement evolution and entanglement evolution between two cavities were investigated.The influences of state-selective measurement of the atom outside cavity on entanglement properties were discussed.The results obtained using the numerical method show that atom-cavity entanglement property and entanglement property between two cavities are strengthened through the state-selective measurement of the atom outside the cavity.
In this paper,we consider the situation that two of three identical two-level atoms are trapped in two coupled cavities separately and another atom is outside the cavity.The evolution of the state vector of the system is given.Three atoms are in like-W state,and optical cavities are all in vacuum state initially.Negativity is adopted to quantify the degree of entanglement.By means of the numerical calculations,we investigate the temporal evolutions of the entanglement between atoms.The influences of coupling constant between cavities and the parameter describing the atomic initial state on the entanglements are discussed.The results show that the disentanglement time zone of atom-atom entanglement is reduced,and the curve peaks of entanglements increase as initial entanglement between atoms increases.This indicates that the entanglement between atoms is strengthened with the increase of initial entanglement between atoms.The atom-atom entanglement is also strengthened with the increase of the coupling constant between cavities.On the other hand,we consider the case which the state of atom outside cavity is measured.When a direct selective measurement is performed or not,the effect of the state-selective measurement on the entanglement is discussed.We find that the entanglement between atoms can be strengthened through the state-selective measurement.
Considering three two-level atoms initially in the GHZ state,two atoms of the three atoms are put into initially empty cavity and made resonant interaction.The two-atom entanglement properties inside cavities are investigated by means of the quantum theory and numerical calculations.Through comparing the results if a rotation operation and direct selective measurement is performed or not,the influences of a rotation operation and state-selective measurement of the atom outside the cavity on the two-atom entanglement evolution inside cavities are discussed.The results obtained using the numerical method show that the two-atom entanglement properties inside cavities is controlled by manipulating the atom outside the cavity,and it can be strengthened by seleting suitable rotation angle.
Considering three two-level atoms initially in the W state, then two of them are placed into two initially empty cavities respectively and made resonantly interacted. The two-atom entanglement evolution inside cavities is investigated. The effects of rotational manipulation and state-selective measurement of the atoms outside the cavities on the two-atom entanglement evolution inside cavities are discussed. The results obtained using the numerical method show that the two-atom entanglement inside cavities is controlled by manipulating the atom outside the cavity.
Considering two Λ-type three-level atoms initially in the entangled state,one atom is poured into the cavity and interacts with a two-mode cavity.The dipole squeezing of an atom inside the cavity are investigated.The influences of the selective atomic measurement and the intensity of the coherent field which interacts with atom on dipole squeezing of an atom inside the cavity are discussed.The result obtained by numerical calculations shows that the dipole squeezing of an atom inside the cavity can be strengthened through selective atomic measurement for atom outside of the cavity.