117 citations · 293 across the 6 of their papers we have counts for
6 papers
Large Classes of Quantum Scarred Hamiltonians from Matrix Product States
Sanjay Moudgalya, Edward O'Brien, B. Andrei Bernevig +2
Motivated by the existence of exact many-body quantum scars in the AKLT chain, we explore the connection between Matrix Product State (MPS) wavefunctions and many-body quantum scar…
Self-dual -invariant quantum chains
Edward O'Brien, Paul Fendley
We investigate the self-dual three-state quantum chain with nearest-neighbor interactions and , time-reversal, and parity symmetries. We find a rich phase diagram including ga…
The "not-A", RSPT and Potts phases in an -invariant chain
Edward O'Brien, Eric Vernier, Paul Fendley
We analyse in depth an -invariant nearest-neighbor quantum chain in the region of a U(1)-invariant self-dual multicritical point. We find four distinct proximate gapped phases…
Onsager symmetries in -invariant clock models
Eric Vernier, Edward O'Brien, Paul Fendley
We show how the Onsager algebra, used in the original solution of the two-dimensional Ising model, arises as an infinite-dimensional symmetry of certain self-dual models that also…
Lattice supersymmetry and order-disorder coexistence in the tricritical Ising model
Edward O'Brien, Paul Fendley
We introduce and analyze a quantum spin/Majorana chain with a tricritical Ising point separating a critical phase from a gapped phase with order-disorder coexistence. We show that…
Topological spin models in Rydberg lattices
Martin Kiffner, Edward O'Brien, Dieter Jaksch
We show that resonant dipole-dipole interactions between Rydberg atoms in a triangular lattice can give rise to artificial magnetic fields for spin excitations. We consider the coh…