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

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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.
Publisher
AMER PHYSICAL SOC
Issue Date
2017-11
Language
English
Article Type
Article
Citation

PHYSICAL REVIEW LETTERS, v.119, no.21, pp.210501

ISSN
0031-9007
DOI
10.1103/PhysRevLett.119.210501
URI
http://hdl.handle.net/10203/228527
Appears in Collection
PH-Journal Papers(저널논문)
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