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Optics Communications

Controlled entanglement of two atoms in photonic crystals

Jing Wang, Jiang Li, Han Zhang, Tianhao Huang, Hanzhuang Zhang

Published Aug 8, 2011• 8 citations
Publisher
DOI
10.1016/j.optcom.2011.07.053

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Evolution of entanglement between a two-level atom and spontaneous emission field in structured reservoir

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The time evolutions of the entanglement between a two-level atom and its spontaneous emission field in free space, cavity, isotropic and anisotropic photonic crystal are studied by using quantum entropy. It is found that the evolution properties of the atom-field entanglement are directly related to the nature of the structured reservoir,specifically, to the distribution of the density of modes. In free space and cavity, as the density of the modes varies smoothly with frequency, the atom-field entanglement decays to zero in a finite time. However in an isotropic and anisotropic photonic crystal, the atom-field entanglement can keep steady due to the existence of a photonic band gap in the density of the modes. Thus, we can control the time evolution of the entanglement between the atom and its spontaneous emission field by changing the density of the modes of the structured reservoirs.

Acta Physica Sinica•Jan 1, 2014•0 citations
We consider a photonic crystal (PC) doped with four-level atoms whose intermediate transition is coupled near resonantly with a photonic band-gap edge. We show that two photons, each coupled to a different atomic transition in such atoms, can manifest strong phase or amplitude correlations: One photon can induce a large phase shift on the other photon or trigger its absorption and thus operate as an ultrasensitive nonlinear photon switch. These features allow the creation of entangled two-photon states and have unique advantages over previously considered media: (i) no control lasers are needed; (ii) the system parameters can be chosen to cause full two-photon entanglement via absorption; (iii) a number of PCs can be combined in a network.
We study the distillability of an initially distillable two-qutrit entangled state in anisotropic band-gap photonic crystal with one resonant frequency between the two upper levels.We find distillability sudden death may occur in such qutrit-qutrit system.But distillability resuscitation can be found after this phenomenon in suitable condition.The duration of bound-entangled state(non-distillable) is controlled by the resonant control laser and the detuning of the atomic frequency inside the gap with respect to the band-edge.
The time evolutions of the entanglement between a two-level atom and its spontaneous emission field in free space, cavity, isotropic and anisotropic photonic crystal are studied by using quantum entropy. It is found that the evolution properties of the atom-field entanglement are directly related to the nature of the structured reservoir,specifically, to the distribution of the density of modes. In free space and cavity, as the density of the modes varies smoothly with frequency, the atom-field entanglement decays to zero in a finite time. However in an isotropic and anisotropic photonic crystal, the atom-field entanglement can keep steady due to the existence of a photonic band gap in the density of the modes. Thus, we can control the time evolution of the entanglement between the atom and its spontaneous emission field by changing the density of the modes of the structured reservoirs.