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Chinese Journal of Quantum Electronics

Fidelity of quantum states of two-mode squeezed vacuum state in Tavis-Cummings model

Longwu Li

Published Jan 1, 2007• 0 citations
OpenAlex

Abstract

The dipole-dipole interaction of the two atoms is discussed.By considering the in- teraction between the two-mode squeezing vacuum state field and the environment(atoms),we investigate the quantum information fidelities of the atoms the field and the system in two- mode squeezing vacuum state Tavis-Cummings model.With the help of the computer sim- ulation,the time evolution of fidelity of system,atoms and field is obtained.The result is indicate that r and k are important to the fidelity of the quantum information.When the two atoms are initially in the groud state,decreasing r can increase the three fidelities.On the contrary,when the two atoms are initially in one of the Bell states,increasing r can increase the three fidelites.

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In this paper,the Tavis-Cummings(TC) model is generalized to simultaneously consider atomic motions and fields via intensity dependent coupling.Evolution of the fidelity of quantum states of entangled two-atom with motion interacting with light field via intensity-dependence coupling is investigated by means of the full quantum theory.The effects on the evolution of the fidelity of quantum states from the initial entanglement factor  of the two-atom and the average photon number n-and field-mode structure parameter p of the field are researched by numerical calculations.The formation rule of quantum echoes of two-atoms is analyzed,and its physical essence is revealed.The results show that period quantum echo of the two-atom is always produced in the case of field-mode structure parameter p=1,independent of light intensity n-and the initial entanglement factor  of the two-atom.Bell-state atoms can produce quantum echo with 2π/p cycle on the conditions of strongly coherent field,via changing the p of from 1 to any value less than 800.When p≥800,no matter what value of  takes,the light field is a vacuum field,weakly coherent field or strong coherent field,the fidelity of quantum states of the two-atom is always 1,that is the first class Bell state-atoms is in the fidelity state continuously.But when the initial entanglement factor  of two-atom is 3π/4,no matter how both values of n-,p are,the fidelity of quantum states of the two-atom maintains 1,namely the two-atom is in the fidelity state of the second class Bell-state continuously.The conclusions show that the extension model has good properties of periodic quantum echoes of two-atom,and provides the theoretical parameters and physical carrier for high fidelity output of entangled two-atoms information and experimental implementation of quantum information processing in the noise environment.

ACTA PHOTONICA SINICA•Jan 1, 2012•1 citation
The dipole-dipole interaction of the two atoms is discussed.By considering the in- teraction between the two-mode squeezing vacuum state field and the environment(atoms),we investigate the quantum information fidelities of the atoms the field and the system in two- mode squeezing vacuum state Tavis-Cummings model.With the help of the computer sim- ulation,the time evolution of fidelity of system,atoms and field is obtained.The result is indicate that r and k are important to the fidelity of the quantum information.When the two atoms are initially in the groud state,decreasing r can increase the three fidelities.On the contrary,when the two atoms are initially in one of the Bell states,increasing r can increase the three fidelites.
The dipole-dipole interaction of the two atoms have been considered.By considering the interaction between the two-mode squeezing vacuum state field and the environment(atoms),we investigate the the cross-correlation function between atoms in two-mode squeezing vacuum state Tavis-Cummings model.With the help of the computer's simulation,we get the correlation function's figures of proceeding evolution by time.finally.Analyze the changes of the function when we fix the squeezing index r and change the dipole-dipole interaction constant ga the phase φ and the inicial state whitch is determined by θ.The result of our discussion indicates that k is important to the cross-correlation of the system.When the two atoms are initially in the excited state,increase k can increase the correlation and its frequency.Analogically,when the two atoms are initially in one of the Bellstates,increase k can increase the correlation.
The fidelities of quantum information of two identical two-level atoms of entanglement state Raman interacting with the squeezed vacuum field are studied by means of the fully quantum theory and numerical calculations.The results shows the fidelity of system,atoms and field will drastically decrease as the squeezing parameter of the initial light increases,and that the fidelity is correlated with the degree of entanglement of the initial two identical two-level atoms and the intensity of dipole-dipole interaction between atoms.
Average fidelities of quantum states in Tavis-Cummings model are studied by means of quantum theory.We consider the strongly coupled atom-field system as a quantum-classical hybrid with dynamically coupled quantum and classical degrees of freedom.The result shows the fidelities become higher with the increasing probability of two atoms initially situated in the ground state and the field in vacuum state.While the two atoms initially situated in ground state behave no-correlation and the field in vacuum state,the quantum state of all systems do not lose fidelities during evolution.
In this paper,the Tavis-Cummings(TC) model is generalized to simultaneously consider atomic motions and fields via intensity dependent coupling.Evolution of the fidelity of quantum states of entangled two-atom with motion interacting with light field via intensity-dependence coupling is investigated by means of the full quantum theory.The effects on the evolution of the fidelity of quantum states from the initial entanglement factor  of the two-atom and the average photon number n-and field-mode structure parameter p of the field are researched by numerical calculations.The formation rule of quantum echoes of two-atoms is analyzed,and its physical essence is revealed.The results show that period quantum echo of the two-atom is always produced in the case of field-mode structure parameter p=1,independent of light intensity n-and the initial entanglement factor  of the two-atom.Bell-state atoms can produce quantum echo with 2π/p cycle on the conditions of strongly coherent field,via changing the p of from 1 to any value less than 800.When p≥800,no matter what value of  takes,the light field is a vacuum field,weakly coherent field or strong coherent field,the fidelity of quantum states of the two-atom is always 1,that is the first class Bell state-atoms is in the fidelity state continuously.But when the initial entanglement factor  of two-atom is 3π/4,no matter how both values of n-,p are,the fidelity of quantum states of the two-atom maintains 1,namely the two-atom is in the fidelity state of the second class Bell-state continuously.The conclusions show that the extension model has good properties of periodic quantum echoes of two-atom,and provides the theoretical parameters and physical carrier for high fidelity output of entangled two-atoms information and experimental implementation of quantum information processing in the noise environment.