Nonlocal Entanglement of 1D Thermal States Induced by Fermion Exchange Statistics

Park, YeJe; Shim, Jeongmin; Lee, S.-S. B. and Sim, H.-S. (2017): Nonlocal Entanglement of 1D Thermal States Induced by Fermion Exchange Statistics. In: Physical Review Letters, Vol. 119, No. 21, 210501

Abstract

When two identical fermions exchange their positions, their wave function gains a phase factor of -1. We show that this distance-independent effect can induce nonlocal entanglement in one-dimensional (1D) electron systems having Majorana fermions at the ends. It occurs in the system bulk and has a nontrivial temperature dependence. In a system having a single Majorana fermion at each end, the nonlocal entanglement has a Bell-state form at zero temperature and decays as the temperature increases, vanishing suddenly at a certain finite temperature. In a system having two Majorana fermions at each end, it is in a cluster-state form and its nonlocality is more noticeable at a finite temperature. By contrast, the thermal states of corresponding 1D spins do not have nonlocal entanglement.

• Item Type: Journal article
• Faculties: Physics
• Research Centers: Center for NanoScience (CENS)
• Subjects: 500 Science > 530 Physics; 500 Science > 500 Science
• ISSN: 0031-9007
• Language: English