TY - JOUR
T1 - Topological entanglement in Abelian and non-Abelian excitation eigenstates
AU - Papić, Z.
AU - Bernevig, B. A.
AU - Regnault, N.
PY - 2011/2/1
Y1 - 2011/2/1
N2 - Entanglement in topological phases of matter has so far been investigated through the perspective of their ground-state wave functions. In contrast, we demonstrate that the excitations of fractional quantum Hall (FQH) systems also contain information to identify the system's topological order. Entanglement spectrum of the FQH quasihole (QH) excitations is shown to differentiate between the conformal field theory (CFT) sectors, based on the relative position of the QH with respect to the entanglement cut. For Read-Rezayi model states, as well as Coulomb interaction eigenstates, the counting of the QH entanglement levels in the thermodynamic limit matches exactly the CFT counting, and sector changes occur as non-Abelian quasiholes successively cross the entanglement cut.
AB - Entanglement in topological phases of matter has so far been investigated through the perspective of their ground-state wave functions. In contrast, we demonstrate that the excitations of fractional quantum Hall (FQH) systems also contain information to identify the system's topological order. Entanglement spectrum of the FQH quasihole (QH) excitations is shown to differentiate between the conformal field theory (CFT) sectors, based on the relative position of the QH with respect to the entanglement cut. For Read-Rezayi model states, as well as Coulomb interaction eigenstates, the counting of the QH entanglement levels in the thermodynamic limit matches exactly the CFT counting, and sector changes occur as non-Abelian quasiholes successively cross the entanglement cut.
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U2 - 10.1103/PhysRevLett.106.056801
DO - 10.1103/PhysRevLett.106.056801
M3 - Article
C2 - 21405420
AN - SCOPUS:79551582904
SN - 0031-9007
VL - 106
JO - Physical review letters
JF - Physical review letters
IS - 5
M1 - 056801
ER -