Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2009-10-14
Phys.Rev.Lett.104:230405,2010
Physics
High Energy Physics
High Energy Physics - Phenomenology
4 pages, 3 figures. To appear in Phys. Rev. Lett
Scientific paper
10.1103/PhysRevLett.104.230405
We study the real-time evolution of a self-interacting O(N) scalar field initially prepared in a pure quantum state. We present a complete solution of the nonequilibrium quantum dynamics from a 1/N-expansion of the two-particle-irreducible effective action at next-to-leading order, which includes scattering and memory effects. Restricting one's attention (or ability to measure) to a subset of the infinite hierarchy of correlation functions, the system is described by an effective (reduced) density matrix which, unlike the full density matrix, has a nontrivial time evolution. In particular, starting from a pure quantum state, we observe the loss of putity/coherence and, on longer time scales, thermalization of the reduced density matrix. We point out that the physics of decoherence is well described by classical statistical field theory.
Giraud Alexandre
Serreau Julien
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