38 citations · 170 across the 10 of their papers we have counts for
12 papers
Parametrization and thermodynamic scaling of pair correlation functions for the Fractional Quantum Hall Effect
Jørgen Fulsebakke, Mikael Fremling, Niall Moran +1
The calculation of pair correlations and density profiles of quasiholes are routine steps in the study of proposed fractional quantum Hall states. Nevertheless, the field has not a…
Tensor Network Circuit Simulation at Exascale
John Brennan, Momme Allalen, David Brayford +5
Tensor network methods are incredibly effective for simulating quantum circuits. This is due to their ability to efficiently represent and manipulate the wave-functions of large in…
Deploying Containerized QuantEx Quantum Simulation Software on HPC Systems
David Brayford, John Brennan, Momme Allalen +4
The simulation of quantum circuits using the tensor network method is very computationally demanding and requires significant High Performance Computing (HPC) resources to find an…
Constructing edge zero modes through domain wall angle conservation
Domenico Pellegrino, Graham Kells, Niall Moran +1
We investigate the existence, normalization and explicit construction of edge zero modes in topologically ordered spin chains. In particular we give a detailed treatment of zero mo…
Dynamics and level statistics of interacting fermions in the Lowest Landau Level
M. Fremling, Cécile Repellin, Jean-Marie Stéphan +3
We consider the unitary dynamics of interacting fermions in the lowest Landau level, on spherical and toroidal geometries. The dynamics are driven by the interaction Hamiltonian wh…
Trial wave functions for a Composite Fermi liquid on a torus
M. Fremling, N. Moran, J. K. Slingerland +1
We study the two-dimensional electron gas in a magnetic field at filling fraction . At this filling the system is in a gapless state which can be interpreted as a Fe…
Localization-enhanced and degraded topological-order in interacting p-wave wires
Graham Kells, Niall Moran, Dganit Meidan
We numerically study the effect of disorder on the stability of the many body zero mode in a Kitaev chain with local interactions. Our numerical procedure allows us to resolve the…
Parafermionic clock models and quantum resonance
Niall Moran, Domenico Pellegrino, Joost Slingerland +1
We explore the parafermionic clock-model generalisations of the p-wave Majorana wire model. In particular we examine whether zero-mode operators analogous to Major…
Energy projection and modified Laughlin states
Mikael Fremling, Jørgen Fulsebakke, Niall Moran +1
We develop a method to efficiently calculate trial wave functions for quantum Hall systems which involve projection onto the lowest Landau level. The method essentially replaces lo…
Topological d-wave pairing structures in Jain states
N. Moran, A. Sterdyniak, I. Vidanovic +2
We discuss d-wave topological (broken time reversal symmetry) pairing structures in unpolarized and polarized Jain states. We demonstrate pairing in the Jain spin singlet state by…
Exact ground states of a staggered supersymmetric model for lattice fermions
L. Huijse, N. Moran, J. Vala +1
We study a supersymmetric model for strongly interacting lattice fermions in the presence of a staggering parameter. The staggering is introduced as a tunable parameter in the mani…
Valence Bond States: Link models
E. Rico, R. Hübener, S. Montangero +4
An isotropic anti-ferromagnetic quantum state on a square lattice is characterized by symmetry arguments only. By construction, this quantum state is the result of an underlying va…