Low Temperature Physics: 46, 798 (2020); https://doi.org/10.1063/10.0001543
Fizika Nizkikh Temperatur: Volume 46, Number 8 (August 2020), p. 947-950    ( to contents , go back )

Effective many-body interactions in one-dimensional dilute Bose gases

A.K. Kolezhuk

Institute of High Technologies, T. Shevchenko National University, Kyiv 03022, Ukraine

Institute of Magnetism NAS of Ukraine and MES of Ukraine, Kyiv 03142, Ukraine
E-mail: kolezhuk@gmail.com
pos Анотація:

Received March 25, 2020, published online June 22, 2020


We propose a new method of constructing the effective theory for a multicomponent low-dimensional dilute Bose gas. The method is based on obtaining and solving renormalization group equations for all many-body interactions of density-density type in the one-loop approximation. In contrast to the standard approach based on two-body interactions, our method does not rely on the introduction of density-dependent infrared cutoff, and is able to reproduce exactly the leading term in the energy density of the one-dimensional dilute Bose gas, and to obtain the next term with the error of less than 2%.

Key words: ultracold atoms, spinor bosons, low-dimensional Bose gas.

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