2 citations · 2 across the 7 of their papers we have counts for
8 papers
GCD and ABC inequalities for abelian varieties over function fields
Guoquan Gao
We prove two height inequalities for rational points on abelian varieties over function fields of characteristic 0. The first is the GCD inequality, which shows that the height wit…
Unravelling the Li-Haldane Conjecture with the Projected Ensemble
Daniel Spasic-Mlacak, Qi Camm Huang, Wen Wei Ho +1
The entanglement spectra of fractional quantum Hall states contain universal fingerprints of their underlying topological order, as posited by the Li-Haldane conjecture. In this wo…
Quasicrystalline Analogue of the Haldane Model
Benedict Burgess, Nigel Cooper
We present a model for a topological quasicrystalline system which is suitable for realisation in cold-atom experiments. We define the model in terms of complex momentum-space coup…
Characterizing topology at nonzero temperature: Topological invariants and indicators in the extended SSH model
Julia D. Hannukainen, Nigel R. Cooper
We compare three complementary diagnostics for mixed Gaussian states at nonzero temperature, focusing on the Su-Schrieffer-Heeger (SSH) chain and its inversion-symmetric extension.…
Ideal Optical Flux Lattices
Ophelia Evelyn Sommer, Nigel R. Cooper
The realization of fractional quantum Hall (FQH) states in cold atomic gases is a long-standing goal in quantum simulation. Established approaches, including rapidly rotating gases…
Gapless Edge Gravitons and Quasiparticles in Fractional Quantum Hall Systems with Non-Local Confinement
Daniel Spasic-Mlacak, Nigel R. Cooper
One of the central tenets of the theory of the fractional quantum Hall effect is that the bulk quantized Hall response requires the existence of a gapless chiral edge mode. The fie…
Additive Manufacturing for Advanced Quantum Technologies
F. Wang, N. Cooper, D. Johnson +7
The development of quantum technology has opened up exciting opportunities to revolutionize computing and communication, timing and navigation systems, enable non-invasive imaging…
Correlations of the Current Density in Many-Body Landau Level States
Daniel Spasic-Mlacak, Nigel R. Cooper
Motivated by recent advances in quantum gas microscopy, we investigate correlation functions of the current density in many-body Landau Level states, such as the Laughlin state of…