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arXiv · 1403.4187

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

Michael Kastner·Mauritz van den Worm
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Abstract

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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Michael Kastner, Mauritz van den Worm. 2015-10-21. Relaxation timescales and prethermalisation in d-dimensional long-range quantum spin models. https://doi.org/10.1088/0031-8949%2F2015%2Ft165%2F014039

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