We study the prethermal dynamics of an interacting quantum field theory with an N-component order parameter and O(N) symmetry, suddenly quenched in the vicinity of a dynamical critical point. Depending on the initial conditions, the evolution of the order parameter, and of the response and correlation functions, can exhibit a temporal crossover between universal dynamical scaling regimes governed, respectively, by a quantum and a classical prethermal fixed point, as well as a crossover from a Gaussian to a non-Gaussian prethermal dynamical scaling. Together with a recent experiment, this suggests that quenches may be used in order to explore the rich variety of dynamical critical points occurring in the nonequilibrium dynamics of a quantum many-body system. We illustrate this fact by using a combination of renormalization group techniques and a nonperturbative large-N limit.

Dynamical Crossovers in Prethermal Critical States / Chiocchetta, A.; Gambassi, Andrea; Diehl, S.; Marino, Jamir. - In: PHYSICAL REVIEW LETTERS. - ISSN 0031-9007. - 118:13(2017), pp. 1-6. [10.1103/PhysRevLett.118.135701]

Dynamical Crossovers in Prethermal Critical States

Gambassi, Andrea;Marino, Jamir
2017

Abstract

We study the prethermal dynamics of an interacting quantum field theory with an N-component order parameter and O(N) symmetry, suddenly quenched in the vicinity of a dynamical critical point. Depending on the initial conditions, the evolution of the order parameter, and of the response and correlation functions, can exhibit a temporal crossover between universal dynamical scaling regimes governed, respectively, by a quantum and a classical prethermal fixed point, as well as a crossover from a Gaussian to a non-Gaussian prethermal dynamical scaling. Together with a recent experiment, this suggests that quenches may be used in order to explore the rich variety of dynamical critical points occurring in the nonequilibrium dynamics of a quantum many-body system. We illustrate this fact by using a combination of renormalization group techniques and a nonperturbative large-N limit.
118
13
1
6
135701
https://doi.org/10.1103/PhysRevLett.118.135701
https://arxiv.org/abs/1612.02419
http://cdsads.u-strasbg.fr/abs/2017PhRvL.118m5701C
Chiocchetta, A.; Gambassi, Andrea; Diehl, S.; Marino, Jamir
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.11767/47224
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