696 citations · 828 across the 7 of their papers we have counts for
5 papers · 1 filter
Entanglement in the quantum phases of an unfrustrated Rydberg atom array
Matthew J. O'Rourke, Garnet Kin-Lic Chan
We report on the ground state phase diagram of interacting Rydberg atoms in the unfrustrated square lattice array. Using new tensor network algorithms, we scale to large systems in…
A simplified and improved approach to tensor network operators in two dimensions
Matthew J. O'Rourke, Garnet Kin-Lic Chan
Matrix product states (MPS) and matrix product operators (MPOs) are one dimensional tensor networks that underlie the modern density matrix renormalization group (DMRG) algorithm.…
On the generalization of the exponential basis for tensor network representations of long-range interactions in two and three dimensions
Zhendong Li, Matthew J. O'Rourke, Garnet Kin-Lic Chan
In one dimension (1D), a general decaying long-range interaction can be fit to a sum of exponential interactions with varying exponents , each of which can be rep…
Conversion of projected entangled pair states into a canonical form
R. Haghshenas, Matthew J. O'Rourke, Garnet Kin-Lic Chan
We propose an algorithm to convert a projected entangled pair state (PEPS) into a canonical form, analogous to the well-known canonical form of a matrix product state. Our approach…
Efficient representation of long-range interactions in tensor network algorithms
Matthew J. O'Rourke, Zhendong Li, Garnet Kin-Lic Chan
We describe a practical and efficient approach to represent physically realistic long-range interactions in two-dimensional tensor network algorithms via projected entangled-pair o…