Mr. Kevin Stitely Profile

Kevin Stitely

at Univ of Auckland

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Proceedings Article | 30 May 2022 Presentation

Nonlinear dynamics at the quantum limit in the unbalanced Dicke model

Kevin Stitely, Andrus Giraldo, Scott Parkins, Bernd Krauskopf

Proceedings Volume PC12143, PC1214303 (2022) https://doi.org/10.1117/12.2621436

KEYWORDS: Nonlinear dynamics, Chemical species, Raman spectroscopy, Photons, Optical resonators, Constructive interference, Complex systems, Chaos

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In 1973 Klaus Hepp and Elliott Lieb showed that a tightly confined ensemble of atoms placed in a quantised single-mode optical cavity will have their emission of light enhanced by constructive interference of emission events if the photons emitted are indistinguishable. This effect, known as superradiance, has proven difficult to realise experimentally due to the strong light-matter coupling required to produce such behaviour. However, over the last decade there have been several successful realisations which engineer superradiance by driving Raman transitions between atomic ground states of multilevel atoms. In this case, superradiance emerges via a quantum phase transition mediated by the laser driving power. In this work, we consider a generalisation of this model referred to as the unbalanced Dicke model. It has recently been implemented experimentally and is characterised by two lasers driving two distinct Raman transitions. We show that, in the semiclassical limit of a large number of atoms, the unbalanced Dicke model exhibits a wealth of nonlinear dynamics which describe novel dynamical phases of matter. Examples of nonlinear behaviour observed are pitchfork, saddle-node, and Hopf bifurcations, as well as two types of chaos. We explore the quantum mechanical manifestations of these bifurcations and additional physical effects which appear in the presence of quantum fluctuations. In this way, the model creates a playground in which to explore the onset of classical nonlinear dynamics from an open quantum system.

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