Collective induced superradiant lineshifts

TL;DR

This paper investigates collective lineshifts in superradiant decay, focusing on the induced shift and the collective Lamb shift, and develops a numerical method to analyze their effects on atomic systems.

Contribution

The authors introduce a self-consistent numerical procedure to analyze collective lineshifts in superradiant decay, highlighting the behavior of the induced shift and its minimal impact on decay rates.

Findings

Induced shift is significant early in evolution.

Small dephasing effect on decay rate.

Potential for experimental measurement of the collective Lamb shift.

Abstract

Superradiant decay is accompanied by two kinds of collective lineshifts, an induced shift and the spontaneous "collective Lamb shift." Both form as sum of dipole-dipole interaction-induced level shifts between atoms in the system. We have developed a procedure to obtain numerical results on this model that self-consistently incorporates the shifts. The induced shift displays large non-zero values early in the system evolution. In addition, its effect on the superradiant system is studied: there is only a very small dephasing effect on the decay rate. While the induced shift is largely absent in not-too strongly driven systems, this parameter region might provide a good experimental regime for measuring the collective Lamb shift. These results can have important consequences for highly sensitive systems, such as quantum information science or atomic clocks.