5 papers
Tunable Bands in 1D Fractional Quantum Media
Brenden R. Guyette, Joshua M. Lewis, Lincoln D. Carr
Fractional calculus has become an essential framework in geophysics, optics, and biological systems to capture long-range correlations and anomalous transport. In this article, we…
Propagation of Spin Waves in Doubly Periodic Magnonic Crystals
Adam G. Whitney, Joshua M. Lewis, Justin Dickovick +3
Towards the development of strategies for tailoring spin-wave band gaps in magnonic crystals, this work examines the band gap properties in a one-dimensional magnonic crystal with…
Lévy Light Cones and Critical Causality in Fractional Multiscale Quantum Ising Models
Joshua M Lewis, Zhexuan Gong, Lincoln D Carr
We study causality and criticality in a one-dimensional fractional multiscale transverse-field Ising model, where fractional derivatives generate long range interactions beyond the…
Classical and Quantum Phase Transitions in Multiscale Media: Universality and Critical Exponents in the Fractional Ising Model
Joshua M. Lewis, Lincoln D. Carr
Until now multiscale quantum problems have appeared to be out of reach at the many-body level relevant to strongly correlated materials and current quantum information devices. In…
Exploring Multiscale Quantum Media: High-Precision Efficient Numerical Solution of the Fractional Schrödinger equation, Eigenfunctions with Physical Potentials, and Fractionally-Enhanced Quantum Tunneling
Joshua M. Lewis, Lincoln D. Carr
Fractional evolution equations lack generally accessible and well-converged codes excepting anomalous diffusion. A particular equation of strong interest to the growing intersectio…