58 citations · 101 across the 6 of their papers we have counts for
6 papers
On Grid Compressive Sampling for Spherical Field Measurements in Acoustics
Marc Andrew Valdez, Alex J. Yuffa, Michael B. Wakin
We derive a compressive sampling method for acoustic field reconstruction using field measurements on a predefined spherical grid that has theoretically guaranteed relations betwee…
Compressive Sensing with Wigner -functions on Subsets of the Sphere
Marc Andrew Valdez, Alex J. Yuffa, Michael B. Wakin
In this paper, we prove a compressive sensing guarantee for restricted measurement domains on the rotation group, . We do so by first defining Slepian functions on…
Layered Chaos in Mean-field and Quantum Many-body Dynamics
Marc Andrew Valdez, Gavriil Shchedrin, Fernando Sols +1
We investigate the dimension of the phase space attractor of a quantum chaotic many-body ratchet in the mean-field limit. Specifically, we explore a driven Bose-Einstein condensate…
A complex network description of thermal quantum states in the Ising spin chain
Bhuvanesh Sundar, Marc Andrew Valdez, Lincoln D. Carr +1
We use network analysis to describe and characterize an archetypal quantum system - an Ising spin chain in a transverse magnetic field. We analyze weighted networks for this quantu…
Many-body Quantum Chaos and Entanglement in a Quantum Ratchet
Marc Andrew Valdez, Gavriil Shchedrin, Martin Heimsoth +3
We uncover signatures of quantum chaos in the many-body dynamics of a Bose-Einstein condensate-based quantum ratchet in a toroidal trap. We propose measures including entanglement,…
Quantifying Complexity in Quantum Phase Transitions via Mutual Information Complex Networks
Marc Andrew Valdez, Daniel Jaschke, David L. Vargas +1
We quantify the emergent complexity of quantum states near quantum critical points on regular 1D lattices, via complex network measures based on quantum mutual information as the a…