Strong-coupling dynamics and entanglement in de Sitter space

A bstract We use holography to study the dynamics of a strongly-coupled gauge theory in four-dimensional de Sitter space with Hubble rate H . The is non-conformal characteristic mass scale M solve Einstein’s equations numerically and determine time evolution homogeneous states. If their initial energy density high compared 4 then early-time well described by viscous hydrodynamics non-zero bulk viscosity. At late times always far from equilibrium. asymptotic late-time state preserves full symmetry group its dual geometry domain-wall AdS 5 approach this characterised an emergent relation form $$ \mathcal{P} P = w ? that different equilibrium equation flat space. constant does not depend on conditions but only / negative if ratio close unity. event apparent horizons solution do coincide one another, reflecting non-equilibrium nature. In between them lies “entanglement horizon” cannot be penetrated extremal surfaces anchored at boundary, which we compute entanglement entropy boundary regions. entangling region equals observable universe surface coincides cosmological horizon just touches horizon, while for larger regions probes behind horizon.