24 citations · 40 across the 10 of their papers we have counts for
6 papers · 1 filter
Strict area law entanglement versus chirality
Xiang Li, Ting-Chun Lin, John McGreevy +1
Chirality is a property of a gapped phase of matter in two spatial dimensions that can be manifested through non-zero thermal or electrical Hall conductance. In this paper, we prov…
Strict area law implies commuting parent Hamiltonian
Isaac H. Kim, Ting-Chun Lin, Daniel Ranard +1
We show that in two spatial dimensions, when a quantum state has entanglement entropy obeying a strict area law, meaning for constants independent o…
Conformal geometry from entanglement
Isaac H. Kim, Xiang Li, Ting-Chun Lin +2
In a physical system with conformal symmetry, observables depend on cross-ratios, measures of distance invariant under global conformal transformations (conformal geometry for shor…
Chiral Virasoro algebra from a single wavefunction
Isaac H. Kim, Xiang Li, Ting-Chun Lin +2
Chiral edges of 2+1D systems can have very robust emergent conformal symmetry. When the edge is purely chiral, the Hilbert space of low-energy edge excitations can form a represent…
Universal lower bound on topological entanglement entropy
Isaac H. Kim, Michael Levin, Ting-Chun Lin +2
Entanglement entropies of two-dimensional gapped ground states are expected to satisfy an area law, with a constant correction term known as the topological entanglement entropy (T…
A new operator extension of strong subadditivity of quantum entropy
Ting-Chun Lin, Isaac H. Kim, Min-Hsiu Hsieh
Let be the von Neumann entropy of a density matrix . Weak monotonicity asserts that for any tripartite density matrix $ρ_{…