Driven-dissipative quantum dynamics in ultra-long-lived dipoles in an optical cavity

Author
Abstract
We study the quantum dynamics of many-body arrays of two-level atoms in a driven cavity subject to collective decay and interactions mediated by the cavity field. We work in the bad cavity limit accessible, for example, using long-lived electronic clock states of alkaline-earth atoms, for which the bare atomic linewidth is much less than the cavity linewidth. In the absence of interactions, our system reduces to previously studied models of collective fluorescence. We show that while interactions do not qualitatively change the steady-state properties they lead to a drastic change in the dynamical properties. We find that, for some intervals of driving strengths, the system shows two very distinct types of transient behaviors that depend on the initial state of the system. In particular, there is a parameter regime where the system features oscillatory dynamics with a period of oscillation that becomes much shorter than the duration of the overall transient dynamics as the atom number increases. We use both mean-field and exact numerical calculations of the quantum system to investigate the dynamics.
Year of Publication
2019
Journal
Physical Review A
Volume
99
Date Published
2019-05
ISSN Number
2469-9926
URL
https://journals.aps.org/pra/abstract/10.1103/PhysRevA.99.053411
DOI
10.1103/PhysRevA.99.053411
JILA PI
Associated Institutes
Journal Article