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We obtain the equation of state (EoS) for two-color QCD at low temperatureand high density from the lattice Monte Carlo simulation. We find that thevelocity of sound exceeds the relativistic limit ($c_s^2/c^2=1/3$) afterBEC-BCS crossover in the superfluid phase. Such an excess of the sound velocityis previously unknown from any lattice calculations for QCD-like theories. Thisfinding might have a possible relevance to the EoS of neutron star matterrevealed by recent measurements of neutron star masses and radii.

Velocity of Sound beyond the High-Density Relativistic Limit from Lattice Simulation of Dense Two-Color QCD