Entanglement bootstrap for quantum phases of matter

Xiang Li presents an entanglement-bootstrap programme for two-dimensional chiral gapped phases. Entanglement conditions yield features such as robust gapless boundaries and sharp-corner entropy contributions. Instantaneous modular flow provides a quantum-information primitive for relations between local entanglement Hamiltonians and produces equations generalising topological-entropy and chiral-central-charge formulas. Applications to conformal field theories in one and two spatial dimensions are also discussed.