Abstract
We measure the zero-temperature equation of state of a homogeneous Bose gas
of \$^7\$Li atoms by analyzing the in-situ density distributions of
trapped samples. For increasing repulsive interactions our data shows a clear
departure from mean-field theory and provides a quantitative test of the
many-body corrections first predicted in 1957 by Lee, Huang and Yang. We
further probe the dynamic response of the Bose gas to a varying interaction
strength and compare it to simple theoretical models. We deduce a lower bound
for the value of the universal constant \$\xi>0.44(8)\$ that would characterize
the universal Bose gas at the unitary limit.
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