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

  • Guillaume LangEmail author
Part of the Springer Theses book series (Springer Theses)


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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Authors and Affiliations

  1. 1.Laboratoire de Physique et de Modélisation des Milieux Condensés (LPMMC)GrenobleFrance

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