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Dynamics of 1d quantum liquids

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The talk focuses on momentum and energy resolved correlation functions of 1d bosonic and fermionic liquids. The emphasis is on going beyond the quantum hydrodynamics (i.e. Luttinger liquid) approximation, which is restricted to a linearized dispersion relation. The non-linearity of the dispersion relation leads to, previously unacknowledged, power-law singularities in correlation functions with momentum-dependent exponents. I shall discuss possible manifestations of these singularities, such as e.g. excitation of dark solitons in 1d Bose condensates.

This talk is part of the Irregular seminars in TCM series.

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