Physics – Quantum Physics
Scientific paper
2009-05-29
Phys. Rev. A 80, 012329 (2009)
Physics
Quantum Physics
12 pages, 6 figures
Scientific paper
10.1103/PhysRevA.80.012329
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.
Ding Wenxin
Yang Kun
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