Figure 1

(a) Schematic picture of our model. (b) Dynamics of excited state population for the atoms affected by the ${\text{TM}}_{11}$ mode well below cutoff, with [Eqs. (6, 7, 8, 9)] ${\omega }_{11}=500{\Gamma }_{11}$, ${\omega }_a-{\omega }_{11}=-100{\Gamma }_{11}$ and $z_{12}=0.5{\lambda }_a$: Markovian theory (t) and simulation (s) results. (c) Divergence near cutoff ${\omega }_{11}$ of the single-atom spectrum $G_{\alpha \alpha }$ for ${\text{TM}}_{11}$ mode, Eq. (9).Reuse & Permissions

Figure 2

Atomic dynamics affected by ${\mathrm{TM}}_{11}$ mode in the non-Markovian regime. (a) Atomic excitation probabilities and concurrence as a function of time. Here ${\omega }_{11}=500{\Gamma }_{11}$, $z_{12}={\lambda }_a$, and ${\omega }_a-{\omega }_{11}=-10{\Gamma }_{11}$. The simulations (s) well agree with the theory (t) [Eq. (13)]. (b) Tradeoff between RDDI strength ${\Delta }_{12}$ and maximal achievable concurrence $C_{\text{max}}$ as a function of the atomic-resonance mismatch with cutoff (simulation results for ${\omega }_{11}=500{\Gamma }_{11}$, $z_{12}=0.5{\lambda }_a$), compared with Markovian theory ${\Delta }_{12,M}$, Eq. (10). The estimates for ${\Delta }_{12}$ are extracted by fitting the dynamics of simulations for various ${\omega }_a$ values to Eq. (5). (c) Entanglement generation as a function of time at long distance: The excitation of the first atom is calculated by Eq. (13), and the concurrence is bounded by the maximal value of the plot. MWG realization (blue thin line): ${\omega }_{11}=2.17\times {10}^{10}{\Gamma }_{11}$, ${\omega }_a-{\omega }_{11}=-2\times {10}^4{\Gamma }_{11}$, $z=100{\lambda }_a$. Fiber-Bragg-grating realization (red thick line): ${\omega }_{11}=6\times {10}^7{\Gamma }_{11}$, ${\omega }_a-{\omega }_{11}=-1500{\Gamma }_{11}$, $z=20{\lambda }_a$. (d) Fiber-Bragg-grating scheme: The atoms are coupled to the guided modes by their transverse evanescent tails [28] or when inserted into the fiber [27].Reuse & Permissions