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Fast generations of tree-type three-dimensional entanglement via Lewis-Riesenfeld invariants and transitionless quantum driving

View Article: PubMed Central - PubMed

ABSTRACT

Recently, a novel three-dimensional entangled state called tree-type entanglement, which is likely to have applications for improving quantum communication security, was prepared via adiabatic passage by Song et al. Here we propose two schemes for fast generating tree-type three-dimensional entanglement among three spatially separated atoms via shortcuts to adiabatic passage. With the help of quantum Zeno dynamics, two kinds of different but equivalent methods, Lewis-Riesenfeld invariants and transitionless quantum driving, are applied to construct shortcuts to adiabatic passage. The comparisons between the two methods are discussed. The strict numerical simulations show that the tree-type three-dimensional entangled states can be fast prepared with quite high fidelities and the two schemes are both robust against the variations in the parameters, atomic spontaneous emissions and the cavity-fiber photon leakages.

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For the LRI method, (a) the time dependence of the Rabi frequencies Ω1(t) (blue solid line) and Ω2(t) (red dashed line); (b) the populations of states /ϕ1〉 and /ϕ17~20〉 governed by Htotal. For the TQD method, (c) the time dependence of the Rabi frequency ; (d) the populations of states /ϕ1〉 and /ϕ17~20〉 governed by . The parameters used here are tf = 80/g, ε = 0.177, Δ = 6 g, τ = 0.14tf and T = 0.19tf.
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f5: For the LRI method, (a) the time dependence of the Rabi frequencies Ω1(t) (blue solid line) and Ω2(t) (red dashed line); (b) the populations of states /ϕ1〉 and /ϕ17~20〉 governed by Htotal. For the TQD method, (c) the time dependence of the Rabi frequency ; (d) the populations of states /ϕ1〉 and /ϕ17~20〉 governed by . The parameters used here are tf = 80/g, ε = 0.177, Δ = 6 g, τ = 0.14tf and T = 0.19tf.

Mentions: In this subsection, we will give the numerical simulations for discussing the feasibility of our two schemes. For the LRI method, we plot the time-dependent Rabi frequencies Ω1(t) and Ω2(t) which are described by Eq. (25) in Fig. 5(a). The evolutions of populations of states /ϕ1(17~20)〉 governed by Htotal are shown in Fig. 5(b). For the TQD method, we plot the time-dependent Rabi frequency which is described by Eq. (35) in Fig. 5(c). The evolutions of populations of states /ϕ1(17~20)〉 governed by are shown in Fig. 5(d). In addition, in Fig. 6(a) we plot the atomic excited populations (red solid line) and (blue solid line) corresponding to the LRI method and the TQD method respectively, and the cavity-fiber excited populations (red dashed line) and (blue dashed line) corresponding to the cases of the LRI method and the TQD method respectively. In Fig. 6(b), we plot the fidelities of the tree-type three-dimensional entanglement generated by the LRI method (red dashed line) and the TQD method (blue solid line), respectively.


Fast generations of tree-type three-dimensional entanglement via Lewis-Riesenfeld invariants and transitionless quantum driving
For the LRI method, (a) the time dependence of the Rabi frequencies Ω1(t) (blue solid line) and Ω2(t) (red dashed line); (b) the populations of states /ϕ1〉 and /ϕ17~20〉 governed by Htotal. For the TQD method, (c) the time dependence of the Rabi frequency ; (d) the populations of states /ϕ1〉 and /ϕ17~20〉 governed by . The parameters used here are tf = 80/g, ε = 0.177, Δ = 6 g, τ = 0.14tf and T = 0.19tf.
© Copyright Policy - open-access
Related In: Results  -  Collection

License
Show All Figures
getmorefigures.php?uid=PMC5036061&req=5

f5: For the LRI method, (a) the time dependence of the Rabi frequencies Ω1(t) (blue solid line) and Ω2(t) (red dashed line); (b) the populations of states /ϕ1〉 and /ϕ17~20〉 governed by Htotal. For the TQD method, (c) the time dependence of the Rabi frequency ; (d) the populations of states /ϕ1〉 and /ϕ17~20〉 governed by . The parameters used here are tf = 80/g, ε = 0.177, Δ = 6 g, τ = 0.14tf and T = 0.19tf.
Mentions: In this subsection, we will give the numerical simulations for discussing the feasibility of our two schemes. For the LRI method, we plot the time-dependent Rabi frequencies Ω1(t) and Ω2(t) which are described by Eq. (25) in Fig. 5(a). The evolutions of populations of states /ϕ1(17~20)〉 governed by Htotal are shown in Fig. 5(b). For the TQD method, we plot the time-dependent Rabi frequency which is described by Eq. (35) in Fig. 5(c). The evolutions of populations of states /ϕ1(17~20)〉 governed by are shown in Fig. 5(d). In addition, in Fig. 6(a) we plot the atomic excited populations (red solid line) and (blue solid line) corresponding to the LRI method and the TQD method respectively, and the cavity-fiber excited populations (red dashed line) and (blue dashed line) corresponding to the cases of the LRI method and the TQD method respectively. In Fig. 6(b), we plot the fidelities of the tree-type three-dimensional entanglement generated by the LRI method (red dashed line) and the TQD method (blue solid line), respectively.

View Article: PubMed Central - PubMed

ABSTRACT

Recently, a novel three-dimensional entangled state called tree-type entanglement, which is likely to have applications for improving quantum communication security, was prepared via adiabatic passage by Song et al. Here we propose two schemes for fast generating tree-type three-dimensional entanglement among three spatially separated atoms via shortcuts to adiabatic passage. With the help of quantum Zeno dynamics, two kinds of different but equivalent methods, Lewis-Riesenfeld invariants and transitionless quantum driving, are applied to construct shortcuts to adiabatic passage. The comparisons between the two methods are discussed. The strict numerical simulations show that the tree-type three-dimensional entangled states can be fast prepared with quite high fidelities and the two schemes are both robust against the variations in the parameters, atomic spontaneous emissions and the cavity-fiber photon leakages.

No MeSH data available.


Related in: MedlinePlus