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We propose a quantum approach to nonequilibrium dynamics which combines thesuccessful aspects of classical-statistical simulations on a lattice with theability to take into account quantum corrections. It is based on the 2PIeffective action for inhomogeneous fields and a volume average. This proceduredoes not involve any double counting which could appear in samplingprescriptions for inhomogeneous quantum evolutions. As an example, we studynonequilibrium dynamics of defect formation in 1+1 dimensional relativisticscalar field theory and compare to insufficient descriptions based onhomogeneous quantum fields. The latter are analyzed in detail by coupling thefield to an external source, such that the emerging influence of defects can bestudied by lowering the source to zero.

Topological defect formation from 2PI effective action techniques