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Dynamics of Cold Atomic Clouds in a Collective Basis

Abstract

Quantum many-body physics is still an emerging field, largely unexplored, with a huge potential for applications in quantum simulations and quantum computing. In this context, systems of cold atoms, with light-mediated interactions between them, are particularly promising platforms due to their controllability and low decoherence. Such ``effective coupled dipole'' systems remain very challenging to simulate, however. On top of the inherent challenges of dealing with these large quantum systems, the long-range nature of dipole-dipole interactions has limited its scalability and more quantitative modeling of experiments. Our main objective is thus to simulate large quantum systems by taking advantage of a collective-mode basis, aiming to enhance numerical and analytical treatments. Ultimately, this will enable the application of quantum trajectories technique with matrix product states (MPSs) and matrix product density operators (MPDOs) decomposition to the radiative dynamics of cold atomic clouds. This novel approach not only offers a promising numerical tool but also provides a physically intuitive representation of many-body dynamics and a natural picture framed in terms of collective modes. (AU)

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