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Self-Trapping Bounds for Continuous-Time Nonlinear Quantum Walks on Path and Cycle Graphs
We explore a continuous-time quantum walk starting at a single vertex on the discrete path and cycle with a cubic nonlinearity. Such nonlinearities arise in Bose-Einstein condensates described by the Gross-Pitaevskii equation or by nonlinear optical waveguide arrays. When the nonlinearity is suffici
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