57 citations · 85 across the 12 of their papers we have counts for
12 papers
Quantum Gravity Simulation: Quantum simulation with a minimum length based on the generalised uncertainty principle
Jack Keable-Elliott, David J. Bacon, Andrew Burbanks +1
We present a recipe for simulating one-dimensional quantum systems for low and high energies with qubits within the framework of first quantisation. Assuming a minimum grid spa…
Existence of the C-type renormalisation two-cycle
Zainab Rahman, Maria Pickett, Andrew Burbanks
We prove the existence of the C-type renormalisation two-cycle, helping to establish the universality of the C-type route to chaos in families of non-invertible maps of the plane.…
Quantum backflow current in a ring: Optimal bounds and fractality
Arseni Goussev, Felix Quinque, Jaewoo Joo +1
The probability density of a quantum particle moving freely within a circular ring can exhibit local flow patterns inconsistent with its angular momentum, a phenomenon known as qua…
Rigorous computer-assisted bounds on renormalisation fixed point functions, eigenfunctions, and universal constants
Andrew D Burbanks, Andrew H Osbaldestin, Judi A Thurlby
We gain tight rigorous bounds on the renormalisation fixed point function for period doubling in families of unimodal maps with degree 2 critical point. By writing the relevant eig…
Rigorous bounds on the Hausdorff dimension of Feigenbaum attractors
Andrew D Burbanks, Andrew H Osbaldestin, Judi A Thurlby
We calculate rigorous bounds on the Hausdorff dimension of the attractor at the accumulation of the period-doubling cascade for families of maps with quadratic, cubic, and quartic…
Rigorous computer-assisted bounds on the period doubling renormalisation fixed point and eigenfunctions in maps with critical point of degree 4
Andrew D Burbanks, Andrew H Osbaldestin, Judi A Thurlby
We gain tight rigorous bounds on the renormalisation fixed point for period doubling in families of unimodal maps with degree critical point. We use a contraction mapping argum…