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Introduction to One-Dimensional Bose Gases

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Non-equilibrium Dynamics of One-Dimensional Bose Gases

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Abstract

Statistical mechanics has proven to be one of the most comprehensive theories in physics. However, despite almost a century of efforts to explain its foundations through the underlying laws of quantum mechanics, our understanding of the emergence of thermal properties still relies on assumptions rather then exact derivations. Only recently, the advances in the manipulation of ultracold atomic clouds have enabled the experimental realization and detailed study of such questions. In this first chapter, the physics of Bose gases in equilibrium are reviewed with a particular focus on 1D bosons in a double-well potential. This equilibrium situation allows the introduction of the tools that will later be used to study 1D Bose gases in various non-equilibrium situations.

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Langen, T. (2015). Introduction to One-Dimensional Bose Gases. In: Non-equilibrium Dynamics of One-Dimensional Bose Gases. Springer Theses. Springer, Cham. https://doi.org/10.1007/978-3-319-18564-4_1

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