Dynamic virial theorem at nonequilibrium and applications

We show that a variety of nonequilibrium dynamics interacting many-body systems are universally characterized by an elegant relation, which we call the dynamic virial theorem. The out-of-equilibrium quantum correlations is entirely governed Tan' s contact. It gives rise to series observable consequences and closely related experiments with ultracold atoms. In particular, theorem provides experimentally accessible verification maximum energy growth [R. Qi et al., Phys. Rev. Lett. 126, 240401 (2021)], encoded in evolution atomic cloud size during expansion. addition, leads simple thermodynamic relation strongly gases framework two-fluid hydrodynamic theory, holds wide range temperature. This type analog Tan's pressure at equilibrium. Our results provide fundamental understanding generic behaviors readily examined