Built on

R. Dijkgraaf and E. Witten, “Topological Gauge Theories and Group Cohomology,” Commun. Math. Phys
1990
Earlier work this paper cites.
J. Fuchs, I. Runkel, and C. Schweigert, “Boundaries, defects and Frobenius algebras,” Fortsch. Phys
2003
Earlier work this paper cites.
A. Yu. Kitaev, “Fault tolerant quantum computation by anyons,” Annals Phys
2003
Earlier work this paper cites.
A. Hamma, R. Ionicioiu, and P. Zanardi, “Bipartite entanglement and entropic boundary law in lattice spin systems,” Phys. Rev
2005
Earlier work this paper cites.
M. Levin and X.-G. Wen, “Detecting Topological Order in a Ground State Wave Function,” Phys. Rev. Lett
2006
Earlier work this paper cites.
A. Kitaev and J. Preskill, “Topological entanglement entropy,” Phys. Rev. Lett
2006
Earlier work this paper cites.
P. V. Buividovich and M. I. Polikarpov, “Entanglement entropy in gauge theories and the holographic principle for electric strings,” Phys. Lett
Original
2008
Earlier work this paper cites.
H. Bombin and M. A. Martin-Delgado, “Family of non-Abelian Kitaev models on a lattice: Topological condensation and confinement,” Phys. Rev
Original
2008
Earlier work this paper cites.
F. A. Bais and J. K. Slingerland, “Condensate induced transitions between topologically ordered phases,” Phys. Rev
Original
2009
Earlier work this paper cites.
S. T. Flammia, A. Hamma, T. L. Hughes, and X.-G. Wen, “Topological Entanglement Rényi Entropy and Reduced Density Matrix Structure,” Phys. Rev. Lett
Original
2009
Earlier work this paper cites.
A. Kapustin and N. Saulina, “Topological boundary conditions in abelian Chern-Simons theory,” Nucl. Phys
Original
2011
Earlier work this paper cites.
S. Beigi, P. W. Shor, and D. Whalen, “The Quantum Double Model with Boundary: Condensations and Symmetries,” Communications in Mathematical Physics
Original
2011
Earlier work this paper cites.
Y. Zhang, T. Grover, A. Turner, M. Oshikawa, and A. Vishwanath, “Quasi-particle Statistics and Braiding from Ground State Entanglement,” Phys. Rev
Original
2012
Earlier work this paper cites.

Similar

A. Kitaev and L. Kong, “Models for Gapped Boundaries and Domain Walls,” Communications in Mathematical Physics
Original
2012
Cited alongside, same era.
W. Donnelly, “Decomposition of entanglement entropy in lattice gauge theory,” Phys. Rev
Original
2012
Cited alongside, same era.
M. Levin, “Protected edge modes without symmetry,” Phys. Rev
Original
2013
Cited alongside, same era.
Y. Hu, Y. Wan, and Y.-S. Wu, “Twisted quantum double model of topological phases in two dimensions,” Phys. Rev
Original
2013
Cited alongside, same era.
I. S. Eliëns, J. C. Romers, and F. A. Bais, “Diagrammatics for Bose condensation in anyon theories,” Phys. Rev
Original

Then

S. Aoki, T. Iritani, M. Nozaki, T. Numasawa, N. Shiba, and H. Tasaki, “On the definition of entanglement entropy in lattice gauge theories,” JHEP
Original
2015
Later among the works it cites.
R. M. Soni and S. P. Trivedi, “Aspects of Entanglement Entropy for Gauge Theories,” JHEP
Original
2016
Later among the works it cites.
M. Gutperle and J. D. Miller, “A note on entanglement entropy for topological interfaces in RCFTs,” JHEP
Original
2016
Later among the works it cites.
X. Wen, S. Matsuura, and S. Ryu, “Edge theory approach to topological entanglement entropy, mutual information and entanglement negativity in Chern-Simons theories,” Phys. Rev
Original
2016
Later among the works it cites.
C. Delcamp, B. Dittrich, and A. Riello, “On entanglement entropy in non-Abelian lattice gauge theory and 3D quantum gravity,” JHEP

Beyond the bibliography

alphaXiv searches the wider corpus for related work and actual follow-ups.

Open on alphaXiv

alphaXiv is searching for related work…

Reading the bibliography…

2018

Entanglement Entropy of Topological Orders with Boundaries

Chen, Chaoyi, Hung, Ling-Yan, Li, Yingcheng et al.

Understand

In this paper we explore how non trivial boundary conditions could influence the entanglement entropy in a topological order in 2+1 dimensions.

Specifically we consider the special class of topological orders describable by the quantum double.
We will find very interesting dependence of the entanglement entropy on the boundary conditions particularly when the system is non-Abelian.
Along the way, we demonstrate a streamlined procedure to compute the entanglement entropy, which is particularly efficient when dealing with systems with boundaries.