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Journal of the Optical Society of America B

Entanglement dynamics of three atoms under quantum-jump-based feedback control

Li Chen, Hong‐Fu Wang, Shou Zhang

Published Feb 5, 2013• 14 citations
Publisher

Abstract

We investigate entanglement dynamics of three driven atoms off-resonantly coupled with a single-mode cavity under quantum-jump-based feedback control. The results demonstrate that the tripartite entanglement can be effectively enhanced and the steady W state and asymmetric W states can be obtained by setting the Rabi frequencies of classical fields and choosing the local quantum feedback control. Furthermore, the tripartite decoherence-free entangled states are found when the atoms are driven by classical fields with appropriate Rabi frequencies. The asymmetric W states and W state can be converted into each other via feedback control. In theory, the multiqubit W state can be generated and stabilized by our approach.

DOI
10.1364/josab.30.000475

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We investigate entanglement dynamics of three driven atoms off-resonantly coupled with a single-mode cavity under quantum-jump-based feedback control. The results demonstrate that the tripartite entanglement can be effectively enhanced and the steady W state and asymmetric W states can be obtained by setting the Rabi frequencies of classical fields and choosing the local quantum feedback control. Furthermore, the tripartite decoherence-free entangled states are found when the atoms are driven by classical fields with appropriate Rabi frequencies. The asymmetric W states and W state can be converted into each other via feedback control. In theory, the multiqubit W state can be generated and stabilized by our approach.
We consider a model consisting of three two-level atoms in a heavily damped cavity. We show that the quantum-jump-based feedback can be used to generate a steady entangled state of three atoms against decoherence. When the feedback acts on just one of the atoms, it can protect a maximally entangled state of other two atoms. When the feedback acts on three atoms, by choosing appropriate parameters we can obtain a decoherence-free subspace spanned by two vectors, and by using quantum trajectory Monte Carlo wave function method we find that the maximally entangled state of three atoms in this decoherence-free subspace can be obtained for some specific initial conditions.
We consider a model consisting of two (two-level) atoms which are placed in two separated heavily damped cavities respectively. We show that the quantum-jump-based feedback based on joint measurement can be used to generate a steady entangled state between two atoms against decoherence. We analyse the effects of general local control Hamiltonians in the performance of entanglement production and show that by choosing a proper control Hamiltonian the steady maximal entanglement between two separated atoms can be protected.
We propose an experimentally feasible scheme for dissipative preparation of a tripartite entangled state with atoms separately trapped in an array of three coupled cavities. The combination of coherent driving fields and quantum-jump-based feedback control will drive the system into a nonequilibrium steady state, which has a nearly perfect overlap with the genuine three-atom singlet state. Different control strategies are investigated and the corresponding optimal parameters are confirmed. Moreover, the fidelity of the target state is insensitive to detection inefficiencies, and it exceeds 90% for a wide range of decoherence parameters as long as the single-atom cooperativity parameter $C\ensuremath{\equiv}{g}^{2}/(\ensuremath{\gamma}\ensuremath{\kappa})>350$.
The entanglement dynamics of two identical atoms coupled to a single-mode cavity is considered. Based on the reduced non-perturbative quantum master equation method, the entanglement evolution of the two atoms with spontaneous emission under the quantum-jump-based feedback control is investigated beyond the conventional rotating-wave approximation (RWA). The research of entanglement evolution beyond RWA is a significant problem because of its importance to the field of strong coupling. The result of numerical simulations shows that an appropriate feedback control can prolong the entanglement time and increase the entanglement amplitude. The effect of synchronous control on two atoms is superior to that of one control.