# Quantum Bose liquids with logarithmic nonlinearity: self-sustainability and emergence of spatial extent

@article{Avdeenkov2011QuantumBL, title={Quantum Bose liquids with logarithmic nonlinearity: self-sustainability and emergence of spatial extent}, author={Alexander V. Avdeenkov and Konstantin G. Zloshchastiev}, journal={Journal of Physics B}, year={2011}, volume={44}, pages={195303} }

The Gross–Pitaevskii (GP) equation is a long-wavelength approach widely used to describe the dilute Bose–Einstein condensates (BEC). However, in many physical situations, such as higher densities, it is unlikely that this approximation suffices; hence, one might need models which would account for long-range correlations and multi-body interactions. We show that the Bose liquid described by the logarithmic wave equation has a number of drastic differences from the GP one. It possesses the self…

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