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We discuss the creation of entanglement between two two-level atoms in thedissipative process of spontaneous emission. It is shown that spontaneousemission can lead to a transient entanglement between the atoms even if theatoms were prepared initially in an unentangled state. The amount ofentanglement created in the system is quantified by using two differentmeasures: concurrence and negativity. We find analytical formulas for theevolution of concurrence and negativity in the system. We also find theanalytical relation between the two measures of entanglement. The systemconsists of two two-level atoms which are separated by an arbitrary distance$r_{12}$ and interact with each other via the dipole-dipole interaction, andthe antisymmetric state of the system is included throughout, even for smallinter-atomic separations, in contrast to the small sample model. It is shownthat for sufficiently large values of the dipole-dipole interaction initiallythe entanglement exhibits oscillatory behaviour with considerable entanglementin the peaks. For longer times the amount of entanglement is directly relatedto the population of the slowly decaying antisymmetric state.Comment: 13 pages, 5 figure

Entangling two atoms via spontaneous emission