In small lattice lambda phi^4 theory, a highly occupied coherent field produces particles and relaxes to the diagonal-ensemble values for a finite time before quantum recurrences appear, and the dynamics maps efficiently onto quantum circuits.
Over-populated gauge fields on the lattice
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We study nonequilibrium dynamics of SU(2) pure gauge theory starting from initial over-population, where intense classical gauge fields are characterized by a single momentum scale Q_s. Classical-statistical lattice simulations indicate a quick evolution towards an approximate scaling behavior with exponent 3/2 at intermediate times. Remarkably, the value for the scaling exponent may be understood as arising from the leading O(g^2) contribution in the presence of a time-dependent background field. The phenomenon is associated to weak wave turbulence describing an energy cascade towards higher momenta. This particular aspect is very similar to what is observed for scalar theories, where an effective cubic interaction arises because of the presence of a time-dependent Bose condensate.
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Particle Production, Equilibration, and Quantum Recurrences from Classical Fields
In small lattice lambda phi^4 theory, a highly occupied coherent field produces particles and relaxes to the diagonal-ensemble values for a finite time before quantum recurrences appear, and the dynamics maps efficiently onto quantum circuits.