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Communications in Theoretical Physics

Generation of Maximally Entangled States for Many Two-Level Atoms in a Thermal Cavity

Chunlei Jiang, Mao-Fa Fang

Published Mar 1, 2007• 2 citations
Publisher

Abstract

We propose a scheme for generating maximally entangled states for two or more two-level atoms in a thermal cavity. The cavity frequency is large-detuned from the atomic transition frequency, so the Hamiltonian can be expressed as an effective form. The photon-number-dependent parts in the effective Hamiltonian are cancelled with the assistance of a strong classical field, thus the scheme is insensitive to both the cavity decay and the thermal field. The scheme can be used to generate multi-atom Bell-state and Greenberger–Horne–Zeiliner (GHZ) state.

DOI
10.1088/0253-6102/47/3/037

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We propose a scheme for generating maximally entangled states for two or more two-level atoms in a thermal cavity. The cavity frequency is large-detuned from the atomic transition frequency, so the Hamiltonian can be expressed as an effective form. The photon-number-dependent parts in the effective Hamiltonian are cancelled with the assistance of a strong classical field, thus the scheme is insensitive to both the cavity decay and the thermal field. The scheme can be used to generate multi-atom Bell-state and Greenberger–Horne–Zeiliner (GHZ) state.
We propose a scheme to generate four Bell states and a four-atom entangled cluster state in a thermal cavity. The photon-number-dependent parts in the effective Hamiltonian are canceled with the assistance of a strong classical field. The cavity field is only virtually excited; no quantum information will be transferred from the atoms to the cavity and thus the scheme is insensitive to the cavity decay and the thermal field. The scheme can also be used to generate the cluster state for the trapped ions.
A scheme is suggested for the generation of multi-atom maximally entangled states with a cavity in a thermal state. In this scheme several appropriately prepared two-level atoms are simultaneously sent through the nonresonant cavity. We divide the whole atom-cavity interaction time into two equal parts. At the end of the first part a π pulse is applied to the atoms using a classical field. Then the photon-number-dependent shifts on the atomic states are cancelled and the atomic system finally evolves to a maximally entangled state.
A scheme is reported for generating a multi-atom cluster state in thermal cavities, which is based on the simultaneous interaction of two two-level atoms with a single-mode cavity field driven by a classical field. The photon-number-dependent parts in the evolution operator are cancelled with the assistant of a strong classical field, so the scheme is insensitive to the thermal field. In the present scheme, the detuning between the atoms and the cavity is equal to the atom-cavity coupling strength, thus the operation speed is greatly improved, which is important in view of decoherence.
A scheme is suggested for the generation of multi-atom maximally entangled states with a cavity in a thermalstate. In this scheme several appropriately prepared two-level atoms are simultaneously sent through the nonresonantcavity. We divide the whole atom-cavity interaction time into two equal parts. At the end of the first part a π pulse isapplied to the atoms using a classical field. Then the photon-number-dependent shifts on the atomic states are cancelledand the atomic system finally evolves to a maximally entangled state.
A scheme is suggested for the generation of multi-atom maximally entangled states with a cavity in a thermalstate. In this scheme several appropriately prepared two-level atoms are simultaneously sent through the nonresonantcavity. We divide the whole atom-cavity interaction time into two equal parts. At the end of the first part a π pulse isapplied to the atoms using a classical field. Then the photon-number-dependent shifts on the atomic states are cancelledand the atomic system finally evolves to a maximally entangled state.