2009/06/30 by Wenxin Ding, Kun Yang · 1 citation
Physics and Astronomy · #quant-ph #cond-mat.quant-gas
paper · pdf · doi:10.1103/physreva.80.012329
published as Phys. Rev. A 80, 012329 (2009) · 12 pages, 6 figures
arxiv created 2009/07/31 · arxiv updated 2009/12/01
In this paper we study the entanglement properties of free \em non-relativistic Bose gases. At zero temperature, we calculate the bipartite block entanglement entropy of the system, and find it diverges logarithmically with the particle number in the subsystem. For finite temperatures, we study the mutual information between the two blocks. We first analytically study an infinite-range hopping model, then numerically study a set of long-range hopping models in one-deimension that exhibit Bose-Einstein condensation. In both cases we find that a Bose-Einstein condensate, if present, makes a divergent contribution to the mutual information which is proportional to the logarithm of the number of particles in the condensate in the subsystem. The prefactor of the logarithmic divergent term is model dependent.