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CAMP: Short time universal scaling and light-cone dynamics after a quantum quench in the O(N) model

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Aditi Mitra, New York University
When
03 November 2015 from 3:30 PM to 4:30 PM
Where
339 Davey Laboratory
Contact Name
Marcos Rigol
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The dynamics of an isolated quantum system represented by a field theory with O(N) symmetry, and in d>2 spatial dimensions, is investigated after a quantum quench. A perturbative renormalization-group approach involving an expansion around d=4 is employed in order to study the evolution in a prethermal regime controlled by elastic dephasing. Since the relevant excitations propagate ballistically, a light cone emerges in correlation functions in real space. A quench from a disordered initial state to the critical point introduces an effective temporal boundary at which the relevant fields acquire an anomalous scaling dimension. This gives rise to universal aging dynamics which affects both the order parameter evolution and its correlation and response functions. At longer times, the onset of inelastic scattering appears as secularly growing self-generated dissipation in the effective Keldysh field theory, with the strength of the dissipative vertices providing an estimate for the time needed to leave the prethermal regime.

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