Figure 1

(a) Two atoms in the vicinity of a thin optical fiber. (b) Scheme of levels and transitions of a pair of two-level atoms. (c) Scheme of levels and transitions in terms of superradiant and subradiant states for a pair of two-level atoms coupled to a common electromagnetic field.Reuse & Permissions

Figure 2

Cross-decay rate ${\gamma }_{12}$ (solid lines), normalized to the free-space spontaneous decay rate ${\gamma }_0$, as a function of (a) the axial, (b) radial, and (c) angular separations between two atoms. The position of the first atom is fixed at $r_1=a$, ${\phi }_1=0$, and $z_1=0$. One coordinate of the second atom is varied, while the two others are fixed as (a) $r_2=a$ and ${\phi }_2=0$, (b) ${\phi }_2=0$ and $z_2=0$, and (c) $r_2=a$ and $z_2=0$. The contribution from guided (radiation) modes is shown by dotted (dashed) lines. The dipoles of both the atoms are $r$ oriented.Reuse & Permissions

Figure 3

Cross-decay rate ${\gamma }_{12}$, normalized to the free-space spontaneous decay rate ${\gamma }_0$, as a function of the axial angular separation between two atoms with (a) the same and (b) different dipole-moment orientations. In (a), the solid, dashed, and dotted lines correspond to the common $r$, $\phi$, and $z$ orientations, respectively. In (b), the solid, dashed, and dotted lines correspond to the pairs of $r$ and $\phi$, $z$ and $r$, and $z$ and $\phi$ orientations, respectively. The position of the first atom is fixed at $r_1=a$, ${\phi }_1=0$, and $z_1=0$. The axial coordinate of the second atom is varied while the two others are fixed as $r_2=a$ and ${\phi }_2=0$ (a) or $\pi ∕2$ (b).Reuse & Permissions

Figure 4

Decay of the total upper-state population of two atoms with a single initial excitation in the vicinity of a thin fiber. The atoms are initially prepared in the superradiant ∣+⟩ (solid line) or the subradiant ∣−⟩ (dashed line) state. The coordinates of the atoms are $r_1=r_2=a$, ${\phi }_1={\phi }_2=0$, and $(z_2-z_1)∕a=20$. Both the atomic dipoles are $r$ oriented. For comparison, the decay of the upper-state population of a single atom with the rate ${\gamma }_a$ is shown by the dotted line.Reuse & Permissions

Figure 5

Decay rates ${\gamma }^{+}$ (solid line), ${\gamma }^{-}$ (dashed line), and ${\gamma }_a$ (dotted line), normalized to the free-space spontaneous decay rate ${\gamma }_0$, as functions of the radial distance $r$. The coordinates of the atoms are $r_1=r_2=r$, ${\phi }_1={\phi }_2=0$, and $(z_2-z_1)∕a=20$. Both the atomic dipoles are $r$ oriented.Reuse & Permissions

Figure 6

Time evolution of the population of the second atom transferred from the first atom. At the initial time, the first atom is excited, while the second atom is in the ground state. The coordinates of the atoms are $r_1=r_2=a$, ${\phi }_1={\phi }_2=0$, and $(z_2-z_1)∕a=20$. Both the atomic dipoles are $r$ oriented.Reuse & Permissions