[Aspuru-Guzik Group List] [qip] talk in 30 minutes

Monday, December 16, 2019 10:30am 6C-442 Title: Bounds on entanglement entropy of ground states and scar states speaker: Anurag Anshu (University of Waterloo) abstract: Relevant many-body quantum states, such as gapped ground states and gibbs state, can be approximated as polynomials of the underlying hamiltonian. This simple idea has been remarkably useful; such as in the proofs of 1D area laws and PEPS representation of gibbs state. In this talk, we provide two new applications. First we show a subvolume law for frustration-free locally gapped spin systems in two dimensions, following the well known Approximate ground state projector (AGSP) approach. Our bound shows an entanglement entropy bound of approx L^{5/3}, for vertical and rectangular bipartitions of perimeter L. Second, we show that recently studied scar quantum states have subvolume bound on entanglement entropy on lattices of finite dimension, complementing a recent result of Alhambra and Wilming. Based on joint works with Itai Arad and David Gosset and with Alvaro Alhambra.