Non-equilibrium dynamics of the open quantum $O(n)$-model with non-Markovian noise: exact results

• URL: http://arxiv.org/abs/2106.08237v2
• Date: Tue, 7 Sep 2021 16:50:55 GMT
• Title: Non-equilibrium dynamics of the open quantum $O(n)$-model with non-Markovian noise: exact results
• Authors: Sascha Wald and Malte Henkel and Andrea Gambassi
• Abstract summary: The collective and purely relaxational dynamics of quantum many-body systems is studied. The stationary state of the quantum dynamics is shown to be a non-equilibrium state.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: The collective and purely relaxational dynamics of quantum many-body systems after a quench at temperature $T=0$, from a disordered state to various phases is studied through the exact solution of the quantum Langevin equation of the spherical and the $O(n)$-model in the limit $n\to\infty$. The stationary state of the quantum dynamics is shown to be a non-equilibrium state. The quantum spherical and the quantum $O(n)$-model for $n\to\infty$ are in the same dynamical universality class. The long-time behaviour of single-time and two-time correlation and response functions is analysed and the universal exponents which characterise quantum coarsening and quantum ageing are derived. The importance of the non-Markovian long-time memory of the quantum noise is elucidated by comparing it with an effective Markovian noise having the same scaling behaviour and with the case of non-equilibrium classical dynamics.

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