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arXiv 2014-03-17 DOI 10.1088/0031-8949/2015/T165/014039 0 views

Relaxation timescales and prethermalisation in d-dimensional long-range quantum spin models

Kastner, Michael · Worm, Mauritz van den

Original · EN

We report analytic results for the correlation functions of long-range quantum Ising models in arbitrary dimension. In particular, we focus on the long-time evolution and the relevant timescales on which correlations relax to their equilibrium values. By deriving upper bounds on the correlation functions in the large-system limit, we prove that a wide separation of timescales, accompanied by a pronounced prethermalisation plateau, occurs for sufficiently long-ranged interactions.

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