2 papers
quant-ph2026
Spectral Transitions and Singular Continuous Spectrum in A New Family of Quasi-periodic Quantum Walks
Xinyu Yang, Long Li, Qi Zhou
This paper introduces and rigorously analyzes a new class of one-dimensional discrete-time quantum walks whose dynamics are governed by a parametrized family of extended CMV matric…
math.AP2025
Almost Periodic Solutions of The Cubic Defocusing Nonlinear Schrödinger Equation
Jake Fillman, Long Li, Milivoje Lukić +1
This paper addresses the Cauchy problem for the cubic defocusing nonlinear Schrödinger equation (NLS) with almost periodic initial data. We prove that for small analytic quasiperio…