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pro vyhledávání: '"Duncan, Callum W"'
Autor:
Duncan, Callum W.
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 eigenstates are exponentially suppressed. Counterdiabatic driving is a t
Externí odkaz:
http://arxiv.org/abs/2403.12150
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 Adiabatic Gauge Potential (AGP), which gives information on the non-adi
Externí odkaz:
http://arxiv.org/abs/2401.10985
Autor:
Duncan, Callum W.
Publikováno v:
Phys. Rev. B 109, 014210 (2024)
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 quasicrystalline. We will focus on the 2D generalised Aubry-Andr\'e model
Externí odkaz:
http://arxiv.org/abs/2310.06405
Autor:
Di Carli, Andrea, Parsonage, Christopher, La Rooij, Arthur, Koehn, Lennart, Ulm, Clemens, Duncan, Callum W, Daley, Andrew J, Haller, Elmar, Kuhr, Stefan
Publikováno v:
Nature Communications 15, 474 (2024)
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 simulators is the ability to use engineered light potentials at the microsco
Externí odkaz:
http://arxiv.org/abs/2305.03794
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 motion will be induced on charged particles when a magnetic field is pres
Externí odkaz:
http://arxiv.org/abs/2212.11286
Publikováno v:
PRX Quantum 4, 010312 (2023)
Adiabatic protocols are employed across a variety of quantum technologies, from implementing state preparation and individual operations that are building blocks of larger devices, to higher-level protocols in quantum annealing and adiabatic quantum
Externí odkaz:
http://arxiv.org/abs/2203.01948
Publikováno v:
J. Phys. B: At. Mol. Opt. Phys. 55 125302 (2022)
We study the ground state phases of interacting bosons in the presence of a 2D Aubry-Andr\'e potential. By using a a mean-field percolation analysis, we focus on several superlattice and quasicrystalline regimes of the 2D Aubry-Andr\'e model, includi
Externí odkaz:
http://arxiv.org/abs/2201.11749
Autor:
Johnstone, Dean, Colbrook, Matthew J., Nielsen, Anne E. B., Öhberg, Patrik, Duncan, Callum W.
Publikováno v:
Phys. Rev. B 106, 045149 (2022)
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 being composed of bands of bulk states and in-gap edge states. When t
Externí odkaz:
http://arxiv.org/abs/2107.05635
Publikováno v:
Phys. Rev. A 105, L021302 (2022); Phys. Rev. A 107, 069901 (2023)
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 has previously been shown that the Laughlin state can be adapted to f
Externí odkaz:
http://arxiv.org/abs/2106.13816
Publikováno v:
J. Phys. A: Math. Theor. 54 395001 (2021)
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 the problem. First, we consider a 2D generalisation of the Aubry-Andr
Externí odkaz:
http://arxiv.org/abs/2008.08584