We investigate the effects of fluctuations on the dynamics of an isolated quantum system represented by a φ22 field theory with O(N) symmetry after a quench in d>2 spatial dimensions. A perturbative renormalization-group approach involving a dimensional expansion in ϵ=4-d is employed in order to study the evolution within a prethermal regime controlled by elastic dephasing. In particular, we focus on a quench from a disordered initial state to the critical point, which introduces an effective temporal boundary in the evolution. At this boundary, the relevant fields acquire an anomalous scaling dimension, while the evolution of both the order parameter and its correlation and response functions display universal aging. Since the relevant excitations propagate ballistically, a light cone in real space emerges. 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. © 2016 American Physical Society.

Short-time universal scaling and light-cone dynamics after a quench in an isolated quantum system in d spatial dimensions

Gambassi, Andrea;
2016-01-01

Abstract

We investigate the effects of fluctuations on the dynamics of an isolated quantum system represented by a φ22 field theory with O(N) symmetry after a quench in d>2 spatial dimensions. A perturbative renormalization-group approach involving a dimensional expansion in ϵ=4-d is employed in order to study the evolution within a prethermal regime controlled by elastic dephasing. In particular, we focus on a quench from a disordered initial state to the critical point, which introduces an effective temporal boundary in the evolution. At this boundary, the relevant fields acquire an anomalous scaling dimension, while the evolution of both the order parameter and its correlation and response functions display universal aging. Since the relevant excitations propagate ballistically, a light cone in real space emerges. 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. © 2016 American Physical Society.
2016
94
13
1
31
134311
http://journals.aps.org/prb/abstract/10.1103/PhysRevB.94.134311
https://arxiv.org/abs/1604.04614
http://inspirehep.net/record/1495065
Chiocchetta, A.; Tavora, M.; Gambassi, Andrea; Mitra, A.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.11767/11896
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