Fetching the paper…
Reading the bibliography…
These lecture notes on entanglement in topological systems are part of the 48th IFF Spring School 2017 on Topological Matter: Topological Insulators, Skyrmions and Majoranas at the Forschungszentrum Juelich, Germany.
See for instance the review by J. Eisert, M. Cramer, and M. B. Plenio, Colloquium: Area laws for the entanglement entropy , Rev. Mod. Phys. 82
1975
Earlier work this paper cites.
J. M. Leinaas and J. Myrheim, On the theory of identical particles , Il Nuovo Cimento B Series 11 37
1977
Earlier work this paper cites.
K. von Klitzing, G. Dorda, and M. Pepper, New method for high-accuracy determination of the fine-structure constant based on quantized Hall resistance , Phys. Rev. Lett. 45
1980
Earlier work this paper cites.
D. C. Tsui, H. L. Stormer, and A. C. Gossard, Two-dimensional magnetotransport in the extreme quantum limit , Phys. Rev. Lett. 48
1982
Earlier work this paper cites.
D. J. Thouless, M. Kohmoto, M. P. Nightingale, and M. den Nijs, Quantized Hall Conductance in a Two-Dimensional Periodic Potential , Phys. Rev. Lett. 49
1982
Earlier work this paper cites.
Frank Wilczek, Quantum Mechanics of Fractional-Spin Particles , Phys. Rev. Lett. 49
1982
Earlier work this paper cites.
R. B. Laughlin, Anomalous Quantum Hall Effect: An Incompressible Quantum Fluid with Fractionally Charged Excitations , Phys. Rev. Lett. 50
1983
Earlier work this paper cites.
F. D. M. Haldane, Fractional quantization of the Hall effect: A hierarchy of incompressible quantum fluid states , Phys. Rev. Lett. 51
1983
Earlier work this paper cites.
B. I. Halperin, Theory of the quantized Hall conductance , Helv. Phys. Acta 56
1984
Earlier work this paper cites.
F. D. M. Haldane, Many-particle translational symmetries of two-dimensional electrons at rational Landau-level filling , Phys. Rev. Lett. 55
1985
Earlier work this paper cites.
R. Willett, J. P. Eisenstein, H. L. Störmer, D. C. Tsui, A. C. Gossard, and J. H. English, Observation of an even-denominator quantum number in the fractional quan- tum Hall effect , Phys. Rev. Lett. 59
1987
Earlier work this paper cites.
V. Kalmeyer and R. B. Laughlin, Equivalence of the resonating-valence-bond and fractional quantum Hall states , Phys. Rev. Lett. 59
1987
Earlier work this paper cites.
X. G. WEN, Topological orders in rigid states , Int. J. Mod. Phys. B, 04, 239 (1990)
1990
Earlier work this paper cites.
G. Moore and N. Read, NonAbelions in the Fractional Quantum Hall Effect , Nucl. Phys. B 360
1991
Earlier work this paper cites.
Martin Greiter, Xiao-Gang Wen, and Frank Wilczek, Paired Hall state at half filling , Phys. Rev. Lett. 66
1991
Earlier work this paper cites.
X. G. Wen and A. Zee, Classification of abelian quantum Hall states and matrix formulation of topological flu-ids , Phys. Rev. B 46
1992
Earlier work this paper cites.
G. ’t Hooft, Dimensional Reduction in Quantum Gravity , gr-qc/9310026 (1993)
1993
Earlier work this paper cites.
C. Holzhey, F. Larsen, and F. Wilczek, Geometric and renormalized entropy in conformal field theory , Nucl. Phys. B 424
1994
Earlier work this paper cites.
X.-G. Wen, Topological orders and Edge excitations in FQH states , Advances in Physics 44
1995
Earlier work this paper cites.
L. Susskind, The world as a hologram , J. Math. Phys. 36
1995
Earlier work this paper cites.
Read, N, and E. Rezayi, Quasiholes and fermionic zero modes of paired fractional quantum Hall states: The mechanism for non-abelian statistics , Phys. Rev. B 54
1996
Earlier work this paper cites.
Philippe Di Francesco, Pierre Mathieu, and David Sénéchal, Conformal Field Theory , Springer Science (1997)
1997
Earlier work this paper cites.
R. Bousso, The holographic principle , Rev. Mod. Phys. 74
2002
Earlier work this paper cites.
A. Kitaev, Fault-tolerant quantum computation by anyons , Ann. Phys. (N.Y.) 303
2003
Earlier work this paper cites.
Xiao-Gang Wen, Quantum Orders in an Exact Soluble Model , Phys. Rev. Lett. 90
2003
Earlier work this paper cites.
I. Peschel, Calculation of reduced density matrices from correlation functions , J. Phys. A: Math. Gen. 36
2003
Earlier work this paper cites.
Pasquale Calabrese and John Cardy, Entanglement entropy and quantum field theory , J. Stat. mech. (2004) P06002
2004
Earlier work this paper cites.
C. L. Kane and E. J. Mele, Quantum Spin Hall Effect in Graphene , Phys. Rev. Lett. 95
2005
Earlier work this paper cites.
C. L. Kane and E. J. Mele, Z 2 Z_{2} Topological Order and the Quantum Spin Hall Effect , Phys. Rev. Lett. 95
2005
Earlier work this paper cites.
Alioscia Hamma, Radu Ionicioiu, and Paolo Zanardi, Ground state entanglement and geometric entropy in the Kitaev model , Physics Letters A 337
2005
Earlier work this paper cites.
Alioscia Hamma, Radu Ionicioiu, and Paolo Zanardi, Bipartite entanglement and entropic boundary law in lattice spin systems , Phys. Rev. A 71
2005
Earlier work this paper cites.
Michael A. Levin and Xiao-Gang Wen, String-net condensation: A physical mechanism for topological phases , Phys. Rev. B 71
2005
Earlier work this paper cites.
Alexei Kitaev and John Preskill, Topological Entanglement Entropy , Phys. Rev. Lett. 96
2006
Earlier work this paper cites.
Michael Levin and Xiao-Gang Wen, Detecting Topological Order in a Ground State Wave Function , Phys. Rev. Lett. 96
2006
Earlier work this paper cites.
A. Kitaev, Anyons in an exactly solvable model and beyond , Ann. Phys. (NY) 321
2006
Cited alongside, same era.
Jainendra K. Jain, Composite fermions , Cambridge University Press (2007)
2007
Cited alongside, same era.
Michael Levin, Bertrand I. Halperin, and Bernd Rosenow, Particle-hole symmetry and the Pfaffian state , Phys. Rev. Lett. 99
2007
Cited alongside, same era.
Sung-Sik Lee, Shinsei Ryu, Chetan Nayak, and Matthew P. A. Fisher, Particle-Hole Symmetry and the ν = 5 2 \nu=\frac{5}{2} Quantum Hall State , Phys. Rev. Lett. 99
2007
Cited alongside, same era.
C. Castelnovo and C. Chamon, Topological order and topological entropy in classical systems , Phys. Rev. B 76
2007
Cited alongside, same era.
N. Regnault and B. Andrei Bernevig, Fractional Chern Insulator , Phys. Rev. X 1
2011
Later among the works it cites.
A. J. Daley, H. Pichler, J. Schachenmayer, and P. Zoller, Measuring Entanglement Growth in Quench Dynamics of Bosons in an Optical Lattice , Phys. Rev. Lett. 109
2012
Later among the works it cites.
Dmitry A. Abanin and Eugene Demler, Measuring Entanglement Entropy of a Generic Many-Body System with a Quantum Switch , Phys. Rev. Lett. 109
2012
Later among the works it cites.
S. J. van Enk and C. W. J. Beenakker, Measuring Tr ρ n \rho^{n} on Single Copies of ρ \rho Using Random Measurements , Phys. Rev. Lett. 108
2012
Later among the works it cites.
Yi Zhang, Tarun Grover, Ari Turner, Masaki Oshikawa, and Ashvin Vishwanath, Quasiparticle statistics and braiding from ground-state entanglement , Phys. Rev. B 85
2012
Later among the works it cites.
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
2007
Cited alongside, same era.
O. S. Zozulya, M. Haque, K. Schoutens, and E. H. Rezayi, Bipartite entanglement entropy in fractional quantum Hall states , Phys. Rev. B 76
2007
Cited alongside, same era.
A. P. Schnyder, S. Ryu, A. Furusaki, and A. W. W. Ludwig, Classification of topological insulators and superconductors in three spatial dimensions , Phys. Rev. B 78
2008
Cited alongside, same era.
D. Hsieh et al., A topological Dirac insulator in a quantum spin Hall phase , Nature 452
2008
Cited alongside, same era.
Chetan Nayak, Steven H. Simon, Ady Stern, Michael Freedman, and Sankar Das Sarma, Non-Abelian anyons and topological quantum computation , Rev. Mod. Phys. 80
2008
Cited alongside, same era.
Simon Trebst, Matthias Troyer, Zhenghan Wang and Andreas W. W. Ludwig, A Short Introduction to Fibonacci Anyon Models , Prog. Theor. Phys. Supp. 176
2008
Cited alongside, same era.
Zyun F. Ezawa, Quantum Hall Effects: Field Theoretical Approach and Related Topics , World Scientific Publishing Co. Pte. Ltd. (2008)
2008
Cited alongside, same era.
J. Dubail, N. Read, and E. H. Rezayi, Real-space entanglement spectrum of quantum Hall systems , Phys. Rev. B 85, 115321 (2012)
2012
Later among the works it cites.
Iván D. Rodríguez, Steven H. Simon, and J. K. Slingerland, Evaluation of Ranks of Real Space and Particle Entanglement Spectra for Large Systems , Phys. Rev. Lett. 108
2012
Later among the works it cites.
A. Sterdyniak, A. Chandran, N. Regnault, B. A. Bernevig, and Parsa Bonderson, Real-space entanglement spectrum of quantum Hall states , Phys. Rev. B 85
2012
Later among the works it cites.
Xiao-Liang Qi, Hosho Katsura, and Andreas W. W. Ludwig, General Relationship between the Entanglement Spectrum and the Edge State Spectrum of Topological Quantum States , Phys. Rev. Lett. 108
2012
Later among the works it cites.
Brian Swingle and T. Senthil, Geometric proof of the equality between entanglement and edge spectra , Phys. Rev. B 86
2012
Later among the works it cites.
2012
Later among the works it cites.
B. Andrei Bernevig and Taylor L. Hughes Topological, Topological Insulators and Topological Superconductors , Princeton University Press (2013)
2013
Later among the works it cites.
Eduardo Fradkin, Field theories of condensed matter physics , Cambridge University Press (2013)
2013
Later among the works it cites.
L. Cincio and G. Vidal, Characterizing Topological Order by Studying the Ground States on an Infinite Cylinder , Phys. Rev. Lett. 110
2013
Later among the works it cites.
J. Iaconis, S. Inglis, A. B. Kallin, and R. G. Melko, Detecting classical phase transitions with Renyi mutual information , Phys. Rev. B 87
2013
Later among the works it cites.
2013
Later among the works it cites.
B. Bauer, L. Cincio, B.P. Keller, M. Dolfi, G. Vidal, S. Trebst, and A. W. W. Ludwig, Chiral spin liquid and emergent anyons in a Kagome lattice Mott insulator , Nature Communications 5
2014
Later among the works it cites.
Yin-Chen He, D. N. Sheng, and Yan Chen, Chiral Spin Liquid in a Frustrated Anisotropic Kagome Heisenberg Model , Phys. Rev. Lett. 112
2014
Later among the works it cites.
Shou-Shu Gong, Wei Zhu, and D. N. Sheng, Emergent Chiral Spin Liquid: Fractional Quantum Hall Effect in a Kagome Heisenberg Model , Scientific Reports 4
2014
Later among the works it cites.
C. M. Herdman, Stephen Inglis, P.-N. Roy, R. G. Melko, and A. Del Maestro, Path-integral Monte Carlo method for Rényi entanglement entropies , Phys. Rev. E 90
2014
Later among the works it cites.
L. Wang and M. Troyer, Rényi Entanglement Entropy of Interacting Fermions Calculated Using the Continuous-Time Quantum Monte Carlo Method , Phys. Rev. Lett. 113
2014
Later among the works it cites.
T. Grover, Entanglement of Interacting Fermions in Quantum Monte Carlo Calculations , Phys. Rev. Lett. 111
2014
Later among the works it cites.
M. Hermanns and S. Trebst, Rényi entropies for classical string-net models , Phys. Rev. B 89
2014
Later among the works it cites.
S.-Y. Xu et al., Discovery of a Weyl fermion state with Fermi arcs in niobium arsenide , Nat. Phys. 11
2015
Later among the works it cites.
2015
Later among the works it cites.
Rajibul Islam et al., Measuring entanglement entropy in a quantum many-body system , Nature 528
2015
Later among the works it cites.
Shou-Shu Gong, Wei Zhu, Leon Balents, and D. N. Sheng, Global phase diagram of competing ordered and quantum spin-liquid phases on the kagome lattice . Phys. Rev. B 91
2015
Later among the works it cites.
J. E. Drut and W. J. Porter, A hybrid Monte Carlo approach to the entanglement entropy of interacting fermions , Phys. Rev. B 92
2015
Later among the works it cites.
Johannes Helmes, Jean-Marie Stéphan, and Simon Trebst, Rényi entropy perspective on topological order in classical toric code models , Phys. Rev. B 92
2015
Later among the works it cites.
B. Majidzadeh Garjani, B. Estienne, and E. Ardonne, On the particle entanglement spectrum of the Laughlin states , J. Phys. A 48
2015
Later among the works it cites.
2015
Later among the works it cites.
K. O’Brien, M. Hermanns, and S. Trebst, Classification of gapless Z 2 Z_{2} spin liquids in three-dimensional Kitaev models , Phys. Rev. B 93
2016
Later among the works it cites.
2016
Later among the works it cites.
Johannes Helmes, Lauren E. Hayward Sierens, Anushya Chandran, William Witczak-Krempa, and Roger G. Melko, Universal corner entanglement of Dirac fermions and gapless bosons from the continuum to the lattice , Phys. Rev. B 94
2016
Later among the works it cites.