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Conference on Lasers and Electro-Optics

Analysis of radiatively stable entanglement generation between two dipole-interacting atoms

Igor Bargatin, B. A. Grishanin, Victor N. Zadkov

Published Aug 29, 2005• 1 citation
Publisher

Abstract

Summary form only given. Though the resonant dipole-dipole interaction (RDDI) has been suggested for realization of entangling dynamics several years ago, it was only recently that several authors have investigated this interaction in more detail as a method for entangling neutral atoms in optical traps. Unfortunately, the considered entangled states of two-level atoms have very short lifetimes due to radiative decay. This is explained by the fact that radiative decay and RDDI have the same physical nature, and we cannot avoid the former while making use of the later. In the work we solve this conceptual problem by presenting new methods for creation of radiatively stable entanglement in a system of two dipole-interacting three-level atoms.

DOI
10.1109/iqec.2000.907997

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Summary form only given. Though the resonant dipole-dipole interaction (RDDI) has been suggested for realization of entangling dynamics several years ago, it was only recently that several authors have investigated this interaction in more detail as a method for entangling neutral atoms in optical traps. Unfortunately, the considered entangled states of two-level atoms have very short lifetimes due to radiative decay. This is explained by the fact that radiative decay and RDDI have the same physical nature, and we cannot avoid the former while making use of the later. In the work we solve this conceptual problem by presenting new methods for creation of radiatively stable entanglement in a system of two dipole-interacting three-level atoms.
We explore the possibilities of creating radiatively stable entangled states of two three-level dipole-interacting atoms in a \ensuremath{\Lambda} configuration by means of laser biharmonic continuous driving or pulses. We propose three schemes for generation of entangled states which involve only the lower states of the \ensuremath{\Lambda} system, not vulnerable to radiative decay. Two of them employ coherent dynamics to achieve entanglement in the system, whereas the third one uses optical pumping, i.e., an essentially incoherent process.
Summary form only given. Controlled coherent interactions between pairs of neutral atoms can be designed in tight micro-traps such as optical lattices which allow the creation of highly entangled multiparticle states. Such systems benefit from suppressed decoherence because neutrals couple weakly to the environment and the interactions are strictly pairwise. The main source of decoherence is spontaneous emission which can be made negligible if the two atom interactions are performed fast compared to the scattering rate.We have shown the possibility of using induced electric dipole-dipole interactions between pairs of atoms to perform quantum logic gates with high fidelity.
Resonant dipole-dipole interaction (RDDI) emerges in strong light-matter interacting systems, which leads to many fascinating phenomena such as cooperative light scattering and collective radiation. Here, we theoretically investigate the role of RDDI in electromagnetically induced transparency (EIT). The resonant dipole-dipole interactions manifest themselves in the cooperative spontaneous emission of the probe light transition, which give rise a broadened linewidth and associated collective frequency shift. This cooperative linewidth originates from the nonlocal and long-range RDDI, which can be determined by the atomic density, optical depth, and macroscopic length scales of the atomic ensemble. We present the finding that EIT spectroscopy essentially demonstrates all-order multiple scattering of RDDI. Furthermore, we find that the EIT transparency window becomes narrower as the cooperative linewidth increases, which essentially reduces the storage efficiency of slow light as an EIT-based quantum memory application.
Summary form only given. Controlled interactions between pairs of neutral atoms in optical lattices allow for the creation of highly entangled multiparticle states and the implementation of quantum logic gates. Such systems benefit from suppressed decoherence because neutrals couple weakly to the environment and from the possibility of processing with the massively parallel quantum registers in the atomic ensemble. The main source of decoherence is spontaneous emission which can be made negligible if the two atom interactions are performed fast compared to the scattering rate. We have shown the possibility of using induced electric dipole-dipole interactions between pairs of atoms to perform the two qubit gates /spl radic/(SWAP) and CPHASE with high fidelity.
Summary form only given. Optical lattices provide new opportunities to create entangled states of neutral atoms for quantum information processing. Such systems have some attractive features: decoherence is suppressed because neutrals couple weakly to the environment, and operations can be performed in parallel on a large ensemble of trapped atoms, thus offering avenues for scaling to many qubits. The main source of decoherence is spontaneous emission, but this can be negligible if all manipulations are performed rapidly compared to the photon scattering rate. We consider here the possibility of using resonantly induced electric dipole-dipole interactions to engineer two-qubit operations such as the swap gate and the controlled-phase which, together with single qubit operations, can perform arbitrary quantum computations.
Resonant dipole-dipole interaction (RDDI) in a Fabry-P\'erot cavity is studied by the mode-expansion method. It is shown that the RDDI depends upon three factors: the length of the cavity, the positions of molecules, and the polarization of dipoles. It is also revealed by the mode-expansion calculation that, instead of contributions only from the propagating modes, the RDDI can also be assisted by the evanescent photons in the cavity. The expressions of energy transfer rate are obtained both for the two-level model and multilevel one in terms of observed spectral shape functions.