Quantum entanglement of particles on a ring with fractional statistics

Release time:2022-04-13  Hits:

• Affiliation of Author(s):数理学院
• Teaching and Research Group:0206
• Journal:phsical review a
• Funded by:国家自然科学基金项目
• Key Words:von Neumann entropy,fractional statistics
• Abstract: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 solutions, the entanglement properties for the arbitrary statistical parameter
  (0<=\kappa<=1) 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 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 the effect solely induced by the anyonic phase.
• First Author:Hongli Guo
• Volume:80
• Page Number:1
• Number of Words:1
• Translation or Not:no