Photo by scottwebb from unsplash
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.… Click to show full 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.
Journal Title: Journal of Statistical Mechanics: Theory and Experiment
Year Published: 2017
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!