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- W2338005686 abstract "We study the scaling behavior of the relaxation dynamics to thermal equilibrium when a quantum system is near the quantum critical point. In particular, we investigate systems whose relaxation dynamics is described by a Lindblad master equation. We find that the universal scaling behavior not only exhibits in the equilibrium stage at the long-time limit, but also manifests itself in the non-equilibrium relaxation process. While the critical behavior is dictated by the low-lying energy levels of the Hamiltonian, the dissipative part in the Lindblad equation also plays important roles in two aspects: First, the dissipative part makes the high energy levels decay fast after which the universal behavior controlled by the low-lying modes emerges. Second, the dissipation rate gives rise to a time scale that affects the scaling behavior. We confirm our theory by solving the Lindblad equation for the one-dimensional transverse-field Ising model." @default.
- W2338005686 created "2016-06-24" @default.
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- W2338005686 date "2016-05-02" @default.
- W2338005686 modified "2023-10-16" @default.
- W2338005686 title "Scaling behavior of quantum critical relaxation dynamics of a system in a heat bath" @default.
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- W2338005686 doi "https://doi.org/10.1103/physrevb.93.184301" @default.
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