Nonlinear dynamics at the quantum limit in the unbalanced Dicke model

Kevin Stitely; Andrus Giraldo; Scott Parkins; Bernd Krauskopf

doi:10.1117/12.2621436

30 May 2022 Nonlinear dynamics at the quantum limit in the unbalanced Dicke model

Kevin Stitely, Andrus Giraldo, Scott Parkins, Bernd Krauskopf

Proceedings Volume PC12143, Nonlinear Optics and its Applications 2022; PC1214303 (2022) https://doi.org/10.1117/12.2621436
Event: SPIE Photonics Europe, 2022, Strasbourg, France

Abstract

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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Citation Download Citation

Kevin Stitely, Andrus Giraldo, Scott Parkins, and Bernd Krauskopf "Nonlinear dynamics at the quantum limit in the unbalanced Dicke model", Proc. SPIE PC12143, Nonlinear Optics and its Applications 2022, PC1214303 (30 May 2022); https://doi.org/10.1117/12.2621436

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KEYWORDS

Nonlinear dynamics

Chemical species

Raman spectroscopy

Chaos

Complex systems

Constructive interference

Optical resonators

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