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New Journal of Physics

Converting two-atom singlet state into three-atom singlet state via quantum Zeno dynamics

Xiao‐Qiang Shao, Hong‐Fu Wang, Li Chen, Shou Zhang, Yongfang Zhao, Kyu-Hwang Yeon

Published Feb 26, 2010• 45 citations
Publisher

Abstract

An approach is presented for converting a two-atom singlet state into a three-atom singlet state based on the quantum Zeno dynamics induced by continuous coupling.The scheme can be achieved within one step through appropriately regulating the Rabi frequencies of the classical fields.The effects of decoherence such as atomic spontaneous emission and the loss of cavity are also considered in virtue of the master equation.The numerical simulation result shows that this proposal is especially robust against the cavity decay, since no cavity-photon population is involved during the whole process because of the quantum Zeno dynamics.Furthermore, if a multilevel atom and a multi-mode cavity are applicable, the N -atom singlet state could be derived directly from the (N -1)-atom singlet state with the same principle, which provides a scalable way for the preparation of |S N in theory.

DOI
10.1088/1367-2630/12/2/023040

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An approach is presented for converting a two-atom singlet state into a three-atom singlet state based on the quantum Zeno dynamics induced by continuous coupling.The scheme can be achieved within one step through appropriately regulating the Rabi frequencies of the classical fields.The effects of decoherence such as atomic spontaneous emission and the loss of cavity are also considered in virtue of the master equation.The numerical simulation result shows that this proposal is especially robust against the cavity decay, since no cavity-photon population is involved during the whole process because of the quantum Zeno dynamics.Furthermore, if a multilevel atom and a multi-mode cavity are applicable, the N -atom singlet state could be derived directly from the (N -1)-atom singlet state with the same principle, which provides a scalable way for the preparation of |S N in theory.
A scheme is proposed for fast conversion of two-atom Dicke states to three-atom Dickes state and three-atom Dicke states to four-atom Dicke states based on transitionless quantum driving. This scheme can be achieved within one step through appropriately regulating the Rabi frequencies of classical fields. The effects of decoherence induced by atomic spontaneous emission and leakage of the cavity are also taken into account. The numerical simulation result shows that this scheme is robust against both atomic spontaneous emission and cavity leakage. Furthermore, when multiple atoms are trapped in a cavity, the (n+1n+1n+1)-atom Dicke states can be derived directly from the nnn-atom Dicke states with the same principle, which provides a scalable way for the preparation of Dicke states in theory.
We propose a scheme to create a 4-atom W state by Lyapunov control with the help of quantum Zeno effect. The effective Hamiltonian to describe quantum Zeno dynamics can be obtained in an invariant Zeno subspace and the 4-atom W state can be achieved through modulating the system parameters. Numerical simulation shows that the present scheme is robust against both cavity decay and the atom spontaneous emission. Furthermore, we present a proposal for W state conversion by the same principle, which provides theoretically a novel way for multi-qubits entanglement preparation.
A scheme is proposed for the generation of a three-dimensional entangled state for two atoms trapped in a cavity via quantum Zeno dynamics. Because the scheme is based on the resonant interaction, the time required to produce entanglement is very short compared with the dispersive protocols. We show that the resulting effective dynamics allows for the creation of robust qutrit-qutrit entanglement. The influence of various decoherence processes such as spontaneous emission and photon loss on the fidelity of the entangled state is investigated. Numerical results show that the scheme is robust against the cavity decay since the evolution of the system is restricted to a subspace with null-excitation cavity fields. Furthermore, the present scheme has been generalized to realize NNN-dimensional entanglement for two atoms.
Quantum entanglement is a basic resource of quantum information processing and quantum computation. The simple and efficient generation of entangled states is always one of the hot research topics. As one of the ideal carriers of quantum information encoding, neutral Rydberg atom occupies a place in the field of generation of entangled state with its unique advantages. For example, Rydberg atom has a large volume and is easily ionized by an external electric field, so it is very sensitive to the change in the external electric field. Therefore, the interaction strength between Rydberg atoms can be changed by altering the external electric field. Rydberg state is a highly excited state, but its radiation attenuation is very small: the radiation lifetime can reach a millisecond level or even longer. The distance between the atomic kernel and the outermost electron is relatively long, and the electric dipole moment is very large. In this paper, the four-level inverted “Y”-type Rydberg atomic system is introduced into the Rydberg blocking ball to form a superatom, and the quantum information is encoded on the effective energy level of the superatom under the condition of weak cavity field. We construct shortcuts to adiabatic passage in a three-superatom system. Combined with quantum Zeno dynamics and shortcuts to adiabatic passage, the three-particle singlet state is simply and effectively generated. In addition, the influence of decoherence factors (including cavity decay and spontaneous emission of superatoms) on the fidelity is considered in this scheme. Numerical simulation results show that the proposed scheme can obtain high fidelity without precisely controlling the evolution time, and the fidelity of singlet state is robust to decoherence factors, since no cavity-photon population is involved in the whole process because of the quantum Zeno dynamics.
Motivated by "transitionless quantum driving", we construct shortcuts to adiabatic passage in a three-atom system to create a singlet state with the help of quantum zeno dynamics and non-resonant lasers. The influence of various decoherence processes is discussed by numerical simulation and the results reveal that the scheme is fast and robust against decoherence and operational imperfection. We also investigate how to select the experimental parameters to control the cavity dissipation and atomic spontaneous emission which will have an application value in experiment.
Based on the quantum Zeno effect [B. Misra and E. C. G. Sudarshan, J. Math. Phys. 18, 756 (1977)], we propose a scheme to achieve three-dimensional (3D) entanglement between two distant five-level atoms. In our scheme, the two atoms are trapped individually in two spatially-separated double-mode cavities connected by an optical fiber. It is found that the effective quantum Zeno dynamics of the composite cavity-fiber-cavity coupled system gives rise to the deterministic creation of the 3D entangled state with high fidelity. Moreover, only one step operation is required to complete the generation of the 3D entangled state. The numerical simulations clearly show that the proposed scheme is robust against the deviation of the system parameters and insensitive to various decoherence factors, including atomic spontaneous emissions, cavity decays and fiber photon leakages. We justify our scheme by considering the experimental feasibility within the currently available technology.