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Europhysics Letters (EPL)

Generation of symmetric Dicke states of many atomic qubits by adiabatic passage

Xinglai Zhang, Y. X. Zhang, Mang Feng

Published Mar 14, 2008• 2 citations
Publisher

Abstract

\n We investigate how to deterministically generate symmetric Dicke states of many atomic qubits in a high-Q two-mode optical cavity via dark-state evolution. Our scheme is based on adiabatic evolution, which makes the relevant dynamics insensitive to randomness of the moderate fluctuations of experimental parameters. Assisted by the postselective process, our scheme could be of the fidelity of unity, and robust to imperfect factors such as dissipation, mismatch of cavity parameters, photon loss, and detector inefficiency.\n

DOI
10.1209/0295-5075/82/10004

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\n We investigate how to deterministically generate symmetric Dicke states of many atomic qubits in a high-Q two-mode optical cavity via dark-state evolution. Our scheme is based on adiabatic evolution, which makes the relevant dynamics insensitive to randomness of the moderate fluctuations of experimental parameters. Assisted by the postselective process, our scheme could be of the fidelity of unity, and robust to imperfect factors such as dissipation, mismatch of cavity parameters, photon loss, and detector inefficiency.\n
A scheme is proposed to deterministically generate multi-atom Greenberger–Horne–Zeilinger (GHZ) states trapped in coupled cavities, which is based on the adiabatic passage of the dark state. The scheme does not need to adjust the interaction time accurately and is insensitive to the fluctuations of some experimental parameters. However, we should choose the appropriate Rabi frequencies of the classical fields to achieve the optimal characteristic of the system. In addition, we also demonstrate numerically that it is robust against decoherence caused by the cavity decay and atomic spontaneous emission.
In this paper, we propose an efficient scheme to generate the N-atom singlet state via adiabatic passage of a dark state in cavity quantum electrodynamics (QED) system. Appropriate Rabi frequencies of the classical fields are selected to realize the present scheme. We discuss the influence of decoherence induced by cavity decay and atomic spontaneous emission by numerical calculation. The result shows that the scheme is insensitive to atomic spontaneous emission as the atomic excited state is hardly populated in adiabatic evolution.
We propose an efficient scheme for realizing squeezing for both an atomic ensemble and a cavity field via adiabatic evolution of the dark state of the atom-cavity system. Controlled symmetry breaking of the Hamiltonian ensures a unique dark state for the total system, in which the atomic system or cavity mode is squeezed depending upon the choice of the detunings. Since the generation of the atomic squeezed state requires neither the cavity mode nor the atomic system to be excited, the decoherence effects are effectively suppressed. The scheme is insensitive to the uncertainty in the atomic number and imperfect timing, and the time needed for the generation of the desired squeezed state decreases as the size of the system grows. The required experimental techniques are within the scope of what can be obtained in the present cavity QED setups.
We propose an optical cavity-QED scheme for the deterministic generation of polarization entangled photon pairs that operates with high fidelity even in the bad cavity limit. The scheme is based on the interaction of an excited four-level atom with two empty optical cavity modes via an adiabatic passage process. Monte-Carlo wave function simulations are used to evaluate the fidelity of the cavity-QED source and its entanglement capability in the presence of decoherence. In the bad cavity limit, fidelities close to one are predicted for state-of-the-art experimental parameter values.