24 citations · 40 across the 10 of their papers we have counts for
10 papers
Chiral gapped states are universally non-topological
Xiang Li, Ting-Chun Lin, Yahya Alavirad +1
We propose an operator generalization of the Li-Haldane conjecture regarding the entanglement Hamiltonian of a disk in a 2+1D chiral gapped groundstate. The logic applies to region…
A systematic search for conformal field theories in very small spaces
Xiang Li, Ting-Chun Lin, John McGreevy
Groundstates of 1+1d conformal field theories (CFTs) satisfy a local entropic condition called the vector fixed point equation. This condition is surprisingly well satisfied by gro…
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…
Optimal Self-Dual Inequalities to Order Polarized BECs
Ting-Chun Lin, Hsin-Po Wang
is proved for all and all . This confirms a conjecture about polar code, made by Wu and Siegel in 2019, that $W^{0…
Conformal Field Theory Ground States as Critical Points of an Entropy Function
Ting-Chun Lin, John McGreevy
We derive an entropy formula satisfied by the ground states of 1+1D conformal field theories. The formula implies that the ground state is the critical point of an entropy function…
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_{…