Physics – Quantum Physics
Scientific paper
2011-05-06
Phys. Rev. A 84, 032330 (2011)
Physics
Quantum Physics
7 pages, 6 PDF figures. Minor revisions, appendix added, references updated, typos corrected
Scientific paper
10.1103/PhysRevA.84.032330
We quantify the extractable entanglement of excited states of a Lieb-Liniger gas that are obtained from coarse-grained measurements on the ground state in which the boson number in one of two complementary contiguous partitions of the gas is determined. Numerically exact results obtained from the coordinate Bethe ansatz show that the von Neumann entropy of the resulting bipartite pure state increases monotonically with the strength of repulsive interactions and saturates to the impenetrable boson limiting value. We also present evidence indicating that the largest amount of entanglement can be extracted from the most probable projected state having half the number of bosons in a given partition. Our study points to a fundamental difference between the nature of the entanglement in free-bosonic and free-fermionic systems, with the entanglement in the former being zero after projection, while that in the latter (corresponding to the impenetrable boson limit) being non-zero.
Bose Sougato
Korepin Vladimir E.
Molina-Vilaplana Javier
Paraan Francis N. C.
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