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$N$-Scaling of Timescales in Long-Range $N$-Body Quantum Systems

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 نشر من قبل Michael Kastner
 تاريخ النشر 2016
  مجال البحث فيزياء
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 تأليف Michael Kastner




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Long-range interacting many-body systems exhibit a number of peculiar and intriguing properties. One of those is the scaling of relaxation times with the number $N$ of particles in a system. In this paper I give a survey of results on long-range quantum spin models that illustrate this scaling behaviour, and provide indications for its common occurrence by making use of Lieb-Robinson bounds. I argue that these findings may help in understanding the extraordinarily short equilibration timescales predicted by typicality techniques.



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