Exploring the effect of decoherence in a two-dimensional Rydberg system: Application of the time-dependent variational principle

We study the buildup of the spatial correlation in a two-dimensional dissipative Rydberg system using the time-dependent variational principle. We find that in the sweeping process of the Rabi frequency and detuning, a moderately large decay rate induced by the two-photon excitation scheme suppresses significantly the buildup of correlation in a long-time scale in agreement with experimental results. A relatively large dephasing rate leads to a short relaxation time for the antiferromagnetic correlation to reach a stable value. These results provide a general view about the role of various decoherence mechanisms in the buildup of antiferromagnetic correlations and guide experiments to explore dissipative many-body dynamics using a Rydberg atomic system.

Automated summary

This study investigates the formation of spatial correlation in a two-dimensional dissipative Rydberg system using the time-dependent variational principle. The results show that a moderately large decay rate, induced by the two-photon excitation scheme, significantly suppresses the buildup of correlation in a long-time scale. Additionally, a relatively large dephasing rate leads to a shorter relaxation time for the antiferromagnetic correlation to reach a stable value.