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Journal of Physics B Atomic Molecular and Optical Physics

Revival and collapse of state preparation fidelity and multipartite entanglement in a coupled exciton–photon system

Shao-Hua Xiang, Bin Shao, Kehui Song, Jian Zou

Published Jun 5, 2007• 0 citations
Publisher

Abstract

We investigate multipartite entanglement properties in a system of driven N quantum dots coupled to a single-mode cavity field by means of state preparation fidelity and multiqubit concurrence. It is shown that the quantum collapse–revival (CR) phenomenon of the fidelity can be generated periodically when the external field is applied, and multipartite system is always in the entangled state as soon as the fidelity exhibits the CR phenomenon. We also discuss the influence of the parameters of the exciton–photon system on the CR phenomenon of the fidelity.

DOI
10.1088/0953-4075/40/12/011

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We investigate multipartite entanglement properties in a system of driven N quantum dots coupled to a single-mode cavity field by means of state preparation fidelity and multiqubit concurrence. It is shown that the quantum collapse–revival (CR) phenomenon of the fidelity can be generated periodically when the external field is applied, and multipartite system is always in the entangled state as soon as the fidelity exhibits the CR phenomenon. We also discuss the influence of the parameters of the exciton–photon system on the CR phenomenon of the fidelity.
We investigate the generation of multipartite entangled state in a system of N quantum dots embedded in a microcavity and examine the emergence of genuine multipartite entanglement by three different characterizations of entanglement. At certain times of dynamical evolution one can generate multipartite entangled coherent exciton states or multiqubit W states by initially preparing the cavity field in a superposition of coherent states or the Fock state with one photon, respectively. Finally, we study environmental effects on multipartite entanglement generation and find that the decay rate for the entanglement is proportional to the number of excitons.
The dynamical behaviors of the entanglement for the excitons in a system of two coupled quantum dots and a single-mode cavity field are investigated for two different initial conditions by means of the concurrence.It is shown that the direct coupling between the dots can reduce the degree of the entanglement for the excitons.For the initial cavity field being in the odd-coherent state,the degree of their entanglement decreases with the increase of the coherent intensity of cavity field.There is a trade-off for excitonic entanglement when cavity field is initially prepared in the even-coherent state.The relation between the average photon numbers of cavity field and quasi-maximally entangled excitonic coherent states is studied.
The dynamics of the entanglement for coherent excitonic states in the system of two, coupled, large semiconductor quantum dots ${(R/a}_{B}\ensuremath{\gg}1)$ mediated by a single-mode cavity field is investigated. Maximally entangled coherent excitonic states can be generated by cavity field initially prepared in odd coherent state. The entanglement of the excitonic coherent states between two dots reaches maximum when no photon is present in the cavity. The effects of the zero-temperature environment on the entanglement of excitonic coherent state are also studied using the concurrence for two subsystems of the excitons.
We study the dynamics of entanglement and mixedness of the excitons in a system of the two driven quantum dots coupled to a single-model cavity field by means of the concurrence and the linear entropy.We show that in the absence of the external driving field,excitonic entanglement and mixedness exhibit a periodic oscillation.When the external field is applied,state entanglement and mixedness will reduce,but if the Ω/g is selected a reasonable value,we can effectively suppress the mixedness and prepare a pure excitonic entangled state.