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International Journal of Theoretical Physics

Quantum Correlation Properties Between Two Spatially Separated Atoms in Free Space Reinforced by Incoherent Pumping

Lei Li, Guo-Hui Yang

Published Oct 11, 2013• 0 citations
Publisher
DOI
10.1007/s10773-013-1853-3

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We report on the generation of entanglement between two spatially separated identical atoms in free space. We show that the evolution of the entanglement occurs due to the radiative coupling between the two atoms via the retarded dipole-dipole interaction. The magnitude of the entanglement is found to be strongly dependent on the initial states and the distance between the two atoms. We also study the different effects on the entanglement of the dipole-dipole collective parameters in the master equation. By introducing incoherent pumping, a steady entanglement can be acquired, and the condition for generating steady entanglement is also obtained.
We report possibility of generating entanglement between two atoms in free space when their spatial separation is on the order of wavelength or less. We show that these two atoms get coupled by photon exchange due to spontaneous decay, which in turn generates the atomic entanglement. By introducing the incoherent pumping, one can obtain the steady entanglement, and the incoherent pumping can overcome the decay of the atoms. Moreover, one can obtain the larger value of steady entanglement via proper tuning the incoherent pumping.
We study spontaneously generated entanglement (SGE) between two identical multilevel atoms in free space via vacuum-induced radiative coupling. We show that the SGE in two-atom systems may initially increase with time but eventually vanishes in the time scale determined by the excited-state lifetime and radiative coupling strength between the two atoms. We demonstrate that steady-state SGE can be established by incoherently pumping the atoms to their excited states. We have shown that an appropriate rate of incoherent pump can help in producing optimal steady-state SGE. The multilevel systems offer us more channels to establish entanglement. The system under consideration can be realized in a tight trap or atoms/ions doped in a solid substrate.