Universal late-time dynamics in isolated one-dimensional statistical systems with topological excitations

Abstract : We investigate the non-equilibrium dynamics of a class of isolated one-dimensional systems possessing two degenerate ground states, initialized in a low-energy symmetric phase. We report the emergence of a time-scale separation between fast (radiation) and slow (kink or domain wall) degrees of freedom. We find a universal long-time dynamics, largely independent of the microscopic details of the system, in which the kinks control the relaxation of relevant observables and correlations. The resulting late-time dynamics can be described by a set of phenomenological equations, which yield results in excellent agreement with the numerical tests.
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https://hal.archives-ouvertes.fr/hal-02423655
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Submitted on : Tuesday, December 24, 2019 - 9:05:59 PM
Last modification on : Tuesday, January 21, 2020 - 9:18:10 PM

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Alvise Bastianello, Alessio Chiocchetta, Leticia F. Cugliandolo, Andrea Gambassi. Universal late-time dynamics in isolated one-dimensional statistical systems with topological excitations. 2019. ⟨hal-02423655⟩

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