Quantum entanglement of particles on a ring with fractional statistics

Details Quantum entanglement of particles on a ring with fractional statistics Quantum entanglement of particles on a ring with fractional statistics

2009-06-02

arxiv.org/abs/0906.0536v1

Phys. Rev. A 80, 052332 (2009)

Physics

Quantum Physics

5 pages, 5 figures

Scientific paper

10.1103/PhysRevA.80.052332

In this paper we investigate the von Neumann entropy in the ground state of one-dimensional anyonic systems with the repulsive interaction. Based on the Bethe-ansatz method, the entanglement properties for the arbitrary statistical parameter ($0\leq\kappa\leq1$) are obtained from the one-particle reduced density matrix in the full interacting regime. It is shown that the entanglement entropy increases with the increase in the interaction strength and statistical parameter. The statistic parameter affects the entanglement properties from two aspects: renormalizing of the effective interaction strength and introducing an additional anyonic phase. We also evaluate the entanglement entropy of hard-core anyons for different statistical parameters in order to clarify solely the effect induced by the anyonic phase.

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