N-scaling of timescales in long-range N-body quantum systems. (27th January 2017)

• Record Type: Journal Article
• Authors: Kastner, Michael
• Is Part Of: Journal of statistical mechanics. (2017:Jan.)
• Publication Date: 2017-01-27
• Subjects: 3 -- 1; Statistical mechanics -- Periodicals; Mechanics -- Statistical methods -- Periodicals; 530.1305
• DOI: 10.1088/1742-5468/aa5119
• Languages: English
• ISSNs: 1742-5468

Abstract

Abstract: 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.