scholarly journals Topological entanglement entropy ofZ2spin liquids and lattice Laughlin states

2011 ◽  
Vol 84 (7) ◽  
Author(s):  
Yi Zhang ◽  
Tarun Grover ◽  
Ashvin Vishwanath
Keyword(s):  
Entanglement Entropy ◽  
Laughlin States ◽  
Topological Entanglement Entropy

scholarly journals Boundary Topological Entanglement Entropy in Two and Three Dimensions

2021 ◽  
Author(s):  
Jacob C. Bridgeman ◽  
Benjamin J. Brown ◽  
Samuel J. Elman
Keyword(s):  
General Property ◽  
Entanglement Entropy ◽  
Quantum Correlations ◽  
Three Dimensions ◽  
Topological Phases ◽  
Fusion Categories ◽  
Special Cases ◽  
Constructive Proofs ◽  
And Algebra ◽  
Topological Entanglement Entropy

AbstractThe topological entanglement entropy is used to measure long-range quantum correlations in the ground space of topological phases. Here we obtain closed form expressions for the topological entropy of (2+1)- and (3+1)-dimensional loop gas models, both in the bulk and at their boundaries, in terms of the data of their input fusion categories and algebra objects. Central to the formulation of our results are generalized $${\mathcal {S}}$$ S -matrices. We conjecture a general property of these $${\mathcal {S}}$$ S -matrices, with proofs provided in many special cases. This includes constructive proofs for categories up to rank 5.

scholarly journals Topological Entanglement Entropy with a Twist

2013 ◽  
Vol 111 (22) ◽  
Author(s):  
Benjamin J. Brown ◽  
Stephen D. Bartlett ◽  
Andrew C. Doherty ◽  
Sean D. Barrett
Keyword(s):  
Entanglement Entropy ◽  
Topological Entanglement Entropy

scholarly journals Topological entanglement entropy in Gutzwiller projected spin liquids

2013 ◽  
Vol 88 (12) ◽  
Author(s):  
Jiquan Pei ◽  
Steve Han ◽  
Haijun Liao ◽  
Tao Li
Keyword(s):  
Entanglement Entropy ◽  
Spin Liquids ◽  
Topological Entanglement Entropy

scholarly journals Entanglement Entropy in Fermionic Laughlin States

2007 ◽  
Vol 98 (6) ◽  
Author(s):  
Masudul Haque ◽  
Oleksandr Zozulya ◽  
Kareljan Schoutens
Keyword(s):  
Entanglement Entropy ◽  
Laughlin States

scholarly journals Topological entanglement entropy and holography

2008 ◽  
Vol 2008 (07) ◽  
pp. 097-097 ◽  
Author(s):  
Ari Pakman ◽  
Andrei Parnachev
Keyword(s):  
Entanglement Entropy ◽  
Topological Entanglement Entropy
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