7 papers
Quantum random walks on d-regular graphs with Haar-random coin operators
Alice C. Quillen
With unitary coin operator that is a random matrix drawn from a uniform distribution with respect to the Haar measure, we construct a variant of a discrete quantum random walk usin…
Generating pseudo-random unitaries with a Floquet driven chaotic quantum system
Alice C. Quillen, Abobakar Sediq Miakhel
We explore using an ergodic Floquet quantum system on a torus to generate pseudo-random unitary operators. We choose a regime of the perturbed Harper model with strong perturbation…
Notions of Adiabatic Drift in the Quantized Harper model
Alice C. Quillen, Nathan Skerrett, Damian R. Sowinski +1
We study a quantized, discrete and drifting version of the Harper Hamiltonian, also called the finite almost Mathieu operator, which resembles the pendulum Hamiltonian but in phase…
Angular Momentum Drain: Despinning Embedded Planetesimals
Stephen Li, Maggie Ju, A. C. Quillen +1
Young and forming planetesimals experience impacts from particles present in a protostellar disk. Using crater scaling laws, we integrate ejecta distributions for oblique impacts.…
Wind erosion and transport on planetesimals
Alice C. Quillen, Stephen Luniewski, Adam E. Rubinstein +3
We consider the possibility that aeolian (wind blown) processes occur on small, 1 to 100~km diameter, planetesimals when they were embedded in the protosolar nebula. Drag from a he…
Quantum chaos on the separatrix of the periodically perturbed Harper model
Alice C. Quillen, Abobakar Sediq Miakhel
We explore the relation between a classical periodic Hamiltonian system and an associated discrete quantum system on a torus in phase space. The model is a sinusoidally perturbed H…