scholarly journals Identifying symmetry-protected topological order by entanglement entropy

2013 ◽  
Vol 88 (24) ◽  
Author(s):  
Wei Li ◽  
Andreas Weichselbaum ◽  
Jan von Delft
Keyword(s):  
Entanglement Entropy ◽  
Topological Order ◽  
Symmetry Protected

scholarly journals Detecting subsystem symmetry protected topological order via entanglement entropy

2019 ◽  
Vol 100 (11) ◽  
Author(s):  
David T. Stephen ◽  
Henrik Dreyer ◽  
Mohsin Iqbal ◽  
Norbert Schuch
Keyword(s):  
Entanglement Entropy ◽  
Topological Order ◽  
Symmetry Protected

scholarly journals Entanglement entropy for (3+1)-dimensional topological order with excitations

2018 ◽  
Vol 97 (8) ◽  
Author(s):  
Xueda Wen ◽  
Huan He ◽  
Apoorv Tiwari ◽  
Yunqin Zheng ◽  
Peng Ye
Keyword(s):  
Entanglement Entropy ◽  
Topological Order

scholarly journals Local disorder, topological ground state degeneracy and entanglement entropy, and discrete anyons

2017 ◽  
Vol 29 (06) ◽  
pp. 1750018 ◽  
Author(s):  
Sven Bachmann
Keyword(s):  
Ground State ◽  
Entanglement Entropy ◽  
Orientable Surface ◽  
Cell Complex ◽  
Local Order ◽  
Topological Order ◽  
Cohomology Groups ◽  
Closed Orientable Surface ◽  
Ground State Degeneracy ◽  
Comprehensive Study

In this comprehensive study of Kitaev’s abelian models defined on a graph embedded on a closed orientable surface, we provide complete proofs of the topological ground state degeneracy, the absence of local order parameters, compute the entanglement entropy exactly and characterize the elementary anyonic excitations. The homology and cohomology groups of the cell complex play a central role and allow for a rigorous understanding of the relations between the above characterizations of topological order.

scholarly journals Many-body localization and symmetry-protected topological order

2014 ◽  
Vol 89 (14) ◽  
Author(s):  
Anushya Chandran ◽  
Vedika Khemani ◽  
C. R. Laumann ◽  
S. L. Sondhi
Keyword(s):  
Topological Order ◽  
Many Body ◽  
Symmetry Protected
Sign in / Sign up

Export Citation Format

Share Document