Nearly linear light cones in long-range interacting quantum systems.

نویسندگان

  • Michael Foss-Feig
  • Zhe-Xuan Gong
  • Charles W Clark
  • Alexey V Gorshkov
چکیده

In nonrelativistic quantum theories with short-range Hamiltonians, a velocity v can be chosen such that the influence of any local perturbation is approximately confined to within a distance r until a time t∼r/v, thereby defining a linear light cone and giving rise to an emergent notion of locality. In systems with power-law (1/r^{α}) interactions, when α exceeds the dimension D, an analogous bound confines influences to within a distance r only until a time t∼(α/v)logr, suggesting that the velocity, as calculated from the slope of the light cone, may grow exponentially in time. We rule out this possibility; light cones of power-law interacting systems are bounded by a polynomial for α>2D and become linear as α→∞. Our results impose strong new constraints on the growth of correlations and the production of entangled states in a variety of rapidly emerging, long-range interacting atomic, molecular, and optical systems.

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عنوان ژورنال:
  • Physical review letters

دوره 114 15  شماره 

صفحات  -

تاریخ انتشار 2015