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Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE

Analytical solution for entanglement and dissipative dynamics of two identical two-level atoms in cavity

Alexander V. Gorokhov, Ilya E. Sinaiski

Published Jun 21, 2007• 0 citations
Publisher

Abstract

It is considered dynamics of two identical two-level atoms in non-ideal cavity. Using approach developed before by us for case of one two-level atom, analytical expression for density matrix of the system is presented. Dynamics of level populations, mean number of photons and correlation function for photons are considered. Using Peres-Horodecki criteria exact expression for entanglement dynamics of two identical two-level atoms in cavity is given. Influence of detuning and damping constants are considered.

DOI
10.1117/12.754430

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It is considered dynamics of two identical two-level atoms in non-ideal cavity. Using approach developed before by us for case of one two-level atom, analytical expression for density matrix of the system is presented. Dynamics of level populations, mean number of photons and correlation function for photons are considered. Using Peres-Horodecki criteria exact expression for entanglement dynamics of two identical two-level atoms in cavity is given. Influence of detuning and damping constants are considered.
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We solve exactly the dynamics of N strongly driven two-level atoms equally coupled on resonance to a dissipative cavity mode. Analytical results are derived on decoherence, entanglement, purity, atomic correlations and cavity field mean photon number. Decoherence-free subspaces are predicted for the whole system and the N -qubit subsystem. Multi-partite entangled states and cavity cat-like states can be conditionally generated. The decay of quantum coherence and purity can be monitored by joint measurements on atomic populations. Atoms prepared in states invariant under permutation of any two components evolve within the subspace spanned by the completely symmetric Dicke states. Applications to N = 3, 4 are discussed.