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Journal of Hebei University

Average fidelity of quantum states in Tavis-Cummings model

Shi Yan

Published Jan 1, 2012• 0 citations
OpenAlex

Abstract

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.

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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.
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.
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.
Atomic evolution properties of entanglement are represented by concurrence,and the effects of atoms-coupling on the properties are considered within the context of the Tavis-Cummings model.Two coupling two-level atoms interact with a quantized cavity field,and the explicit forms of the evolution operator are given.It is found that atomic entanglement can always be kept though atoms are initially unentangled.The results also show that the amplitude of the entanglement evolution oscillation increases,and the periods of the oscillation become longer with increasing atomic coupling effect.When atomic coupling is strong enough,atomic entanglement evolution behavior is similar to that of the Heisenberg model.Atomic entanglement evolution properties have relations with atomic population.
This paper studies the quantum entanglement of the Tavis-Cummings model for two steady identical two-level atoms interac-ting with a single-mode field. Whe n the field is vacuum and the two atoms stay in Einstein-Podolsky-Rosem entangle d state or disentangled state initially, we obtain that the system will evol ve to a three-body approximate W entangled state. The entanglement measure will change with the variation of system initial state, coupling coefficients, detuni ng degree and atomic population inversion. It should be noted that the atomic co upling coefficient exhibits the nonlinear effect and the entanglement measure os cillates periodically in accordance with atomic population inversion.
The quantum entanglement of the Tavis-Cummings model for two identical two-level atoms interacting with a single-mode field is considered.When the field is one photon and the two atoms stay in ground states initially,it is abtained that the system will evolve to a three-body approximate state.The result shows that every entanglement measure of the system will be reduced when atomic coupling coefficient is larger than coupling coefficient between field and atom,and the entanglement measure of atoms and the entanglement measure between two atoms with field will be reduced more quickly.Meanwhile,every entanglement measure periodic will be also shortened relevantly.