73 citations · 356 across the 30 of their papers we have counts for
32 papers
Quantum approaches for particle-in-cell codes
Ryan J. J. Connor, Andrew J. Daley, Callum W. Duncan +1
Solving the high-dimensional, nonlinear partial differential equations that govern the rich physics of plasmas remains a major computational challenge. In fluid dynamics, quantum-i…
Tensor network compression using fluid dynamics as a testbed: Analytical foundations in one dimension
Matthew D. Horner, Callum W. Duncan, Oliver T. Brown +2
High performance computers produce extreme-scale data sets that require sampling or compression if they are to be used to their full potential. Existing data compression techniques…
Mott-insulating phases of the Bose-Hubbard model on quasi-1D ladder lattices
Lorenzo Carfora, Callum W. Duncan, Stefan Kuhr +1
We calculate the phase diagram of the Bose-Hubbard model on a half-filled ladder lattice including the effect of finite on-site interactions. This shows that the rung-Mott insulato…
Tensor network approaches for plasma dynamics
Ryan J. J. Connor, Preetma Soin, Callum W. Duncan +1
The dynamics of plasmas are governed by a set of non-linear differential equations which remain challenging to solve directly for large 2D and 3D problems. Here we investigate how…
A Quantum Gate Architecture via Teleportation and Entanglement
Samuel J. Sheldon, Pieter Kok, Callum W. Duncan
We present a universal quantum computing architecture which combines the measurement-driven aspect of MBQC with the circuit model's algorithm dependent generation of qubit entangle…
Tensor network methods for the Gross-Pitaevskii equation on fine grids
Ryan J. J. Connor, Callum W. Duncan, Andrew J. Daley
The Gross-Pitaevskii equation and its generalisations to dissipative and dipolar gases have been very useful in describing dynamics of cold atomic gases, as well as polaritons and…
Quantum-gas microscopy and Talbot interferometry of the Bose-glass phase
Lennart Koehn, Christopher Parsonage, Callum W. Duncan +6
Disordered potentials fundamentally affect transport and coherence in quantum systems, giving rise to a Bose-glass phase in interacting bosonic systems -- an insulating yet compres…
Counterdiabatic-influenced Floquet-engineering: State preparation, annealing and learning the adiabatic gauge potential
Callum W Duncan
Counterdiabatic driving, which enforces adiabatic evolution in arbitrary timescales, can be realised by engineering a Floquet Hamiltonian which oscillates between the Hamiltonian a…
Taming quantum systems: A tutorial for using shortcuts-to-adiabaticity, quantum optimal control, and reinforcement learning
Callum W. Duncan, Pablo M. Poggi, Marin Bukov +2
Precise manipulation of quantum effects at the atomic and nanoscale has become an essential task in ongoing scientific and technological endeavours. Quantum control methods are thu…
Exact counterdiabatic driving for finite topological lattice models
Callum W. Duncan
Adiabatic protocols are often employed in state preparation schemes but require the system to be driven by a slowly varying Hamiltonian so that transitions between instantaneous ei…
A numerical approach for calculating exact non-adiabatic terms in quantum dynamics
Ewen D C Lawrence, Sebastian F J Schmid, Ieva Čepaitė +2
Understanding how non-adiabatic terms affect quantum dynamics is fundamental to improving various protocols for quantum technologies. We present a novel approach to computing the A…
Critical states and anomalous mobility edges in two-dimensional diagonal quasicrystals
Callum W. Duncan
We study the single-particle properties of two-dimensional quasicrystals where the underlying geometry of the tight-binding lattice is crystalline but the on-site potential is quas…
Commensurate and incommensurate 1D interacting quantum systems
Andrea Di Carli, Christopher Parsonage, Arthur La Rooij +6
Single-atom imaging resolution of many-body quantum systems in optical lattices is routinely achieved with quantum-gas microscopes. Key to their great versatility as quantum simula…
Interacting Bosons on Crystalline and Quasiperiodic Ladders in a Magnetic Field
Dean Johnstone, Patrik Öhberg, Callum W. Duncan
We study a variety of Hofstadter ladders in order to probe the interplay between interactions, an applied magnetic field and crystalline or quasiperiodic geometries. Rotational mot…
Counterdiabatic Optimised Local Driving
Ieva Čepaitė, Anatoli Polkovnikov, Andrew J. Daley +1
Adiabatic protocols are employed across a variety of quantum technologies, from implementing state preparation and individual operations that are building blocks of larger devices,…
Barriers to Macroscopic Superfluidity and Insulation in a 2D Aubry-André Model
Dean Johnstone, Patrik Öhberg, Callum W. Duncan
We study the ground state phases of interacting bosons in the presence of a 2D Aubry-André potential. By using a a mean-field percolation analysis, we focus on several superlattice…
Bulk Localised Transport States in Infinite and Finite Quasicrystals via Magnetic Aperiodicity
Dean Johnstone, Matthew J. Colbrook, Anne E. B. Nielsen +2
Robust edge transport can occur when particles in crystalline lattices interact with an external magnetic field. This system is well described by Bloch's theorem, with the spectrum…
Anyon braiding on a fractal lattice with a local Hamiltonian
Sourav Manna, Callum W. Duncan, Carrie A. Weidner +2
There is a growing interest in searching for topology in fractal dimensions with the aim of finding different properties and advantages compared to the integer dimensional case. It…
The Mean-Field Bose Glass in Quasicrystalline Systems
Dean Johnstone, Patrik Öhberg, Callum W. Duncan
We confirm the presence of a mean-field Bose glass in 2D quasicrystalline Bose-Hubbard models. We focus on two models where the aperiodic component is present in different parts of…
Topological models in rotationally symmetric quasicrystals
Callum W. Duncan, Sourav Manna, Anne E. B. Nielsen
We investigate the physics of quasicrystalline models in the presence of a uniform magnetic field, focusing on the presence and construction of topological states. This is done by…
Synthetic mean-field interactions in photonic lattices
Callum W. Duncan, Michael J. Hartmann, Robert R. Thomson +1
Photonic lattices are usually considered to be limited by their lack of methods to include interactions. We address this issue by introducing mean-field interactions through optica…
Super Hamiltonian in superspace for incommensurate superlattices and quasicrystals
Manuel Valiente, Callum W. Duncan, Nikolaj T. Zinner
Infinite quasiperiodic arrangements in space, such as quasicrystals, are typically described as projections of higher-dimensional periodic lattices onto the physical dimension. The…
Staggered Ground States in an Optical Lattice
Dean Johnstone, Niclas Westerberg, Callum W. Duncan +1
Non-standard Bose-Hubbard models can exhibit rich ground state phase diagrams, even when considering the one-dimensional limit. Using a self-consistent Gutzwiller diagonalisation a…
Mean-field phases of an ultracold gas in a quasicrystalline potential
Dean Johnstone, Patrik Öhberg, Callum W. Duncan
The recent experimental advancement to realise ultracold gases scattering off an eight-fold optical potential [Phys. Rev. Lett. 122, 110404 (2019)] heralds the beginning of a new t…