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Dynamical Structure Factor of the Lieb–Liniger Model and Drag Force Due to a Potential Barrier

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Correlations in Low-Dimensional Quantum Gases

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Abstract

In this chapter, whose original results are mostly based on Refs. [1, 2], I take the next step towards the full characterization of a 1D Bose gas through its correlation functions. Going beyond static correlation functions, dynamical ones in energy-momentum space provide another possible way to understand a system, but their richer structure makes them harder to evaluate, and their theoretical study involves fairly advanced techniques. Two observables usually attract peculiar attention: the Fourier transform of Green’s function, a.k.a. the spectral function, and of the density-density correlations, known as the dynamical structure factor. The latter is quite sensitive to both interactions and dimensionality, providing an ideal observable to probe their joint effect.

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Lang, G. (2018). Dynamical Structure Factor of the Lieb–Liniger Model and Drag Force Due to a Potential Barrier. In: Correlations in Low-Dimensional Quantum Gases. Springer Theses. Springer, Cham. https://doi.org/10.1007/978-3-030-05285-0_4

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