6 papers
Pure gapped ground states of spin chains are short-range entangled
Wojciech De Roeck, Martin Fraas, Bruno de O. Carvalho
We consider spin chains with a finite range Hamiltonian. For reasons of simplicity, the chain is taken to be infinitely long. A ground state is said to be a unique gapped ground st…
A complete classification of 2d symmetry protected states with symmetric entanglers
Alex Bols, Wojciech De Roeck, Michiel De Wilde +1
We consider symmetry protected topological states of 2d quantum spin systems, with a finite symmetry group . It has been conjectured that such states are classified by the cohom…
Stark localization of interacting particles
Wojciech De Roeck, Amirali Hannani, Alessio Lerose +1
We consider N interacting quantum particles on a one-dimensional lattice, and subjected to an external linear potential. For N = 1, the corresponding Hamiltonian is explicitly diag…
LDPC stabilizer codes as gapped quantum phases: stability under graph-local perturbations
Wojciech De Roeck, Vedika Khemani, Yaodong Li +2
We generalize the proof of stability of topological order, due to Bravyi, Hastings and Michalakis, to stabilizer Hamiltonians corresponding to low-density parity check (LDPC) codes…
Absence of Normal Heat Conduction in Strongly Disordered Interacting Quantum Chains
Wojciech De Roeck, Lydia Giacomin, Francois Huveneers +1
We prove that in strongly disordered, interacting, quantum chains, the conductance of a chain of length vanishes faster than . This means that transport is anomalous in su…
Many-body Localization and Poisson statistics in the Quantum Sun model
Wojciech De Roeck, Amirali Hannani
The Quantum Sun model is a many-body Hamiltonian model of interacting spins arranged on the half-line (or the line). Spins at distance from the origin are coupled to the rest o…