Abstract
We have studied the excitation spectrum of the specific two-dimensional model of strongly interacting Bose particles via mapping of the many-body Schr\"odinger equation in imaginary time to the classical stochastic dynamics. In a broad range of coupling strengths $\ensuremath{\alpha}$, a roton-like spectrum is found, with the roton gap being extremely small in natural units. A single quantum phase transition between a strongly correlated superfluid and a quantum Berezinsky crystal is found.
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