Defect-Driven Nonlinear and Nonlocal Perturbations in Quantum Chains

• URL: http://arxiv.org/abs/2512.15130v1
• Date: Wed, 17 Dec 2025 06:42:19 GMT
• Title: Defect-Driven Nonlinear and Nonlocal Perturbations in Quantum Chains
• Authors: Anish Acharya, Luca Giuggioli, Shamik Gupta,
• Abstract summary: Transport and localization in isolated quantum systems are typically attributed to spatially-extended disorder.<n>We introduce an analytic framework showing how a single defect profoundly reshapes wave-function spreading on a finite isolated and periodic tight-binding lattice.
• Score: 0.48140562393133074
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Transport and localization in isolated quantum systems are typically attributed to spatially-extended disorder, leaving the influence of a few controllable defects largely unexplored despite their relevance to engineered quantum platforms. We introduce an analytic framework showing how a single defect profoundly reshapes wave-function spreading on a finite isolated and periodic tight-binding lattice. Adapting the defect technique from classical random-walk studies, we obtain exact time-resolved site-occupation probabilities and several observables of interest. Even one defect induces striking nonlinear and nonlocal effects, including non-monotonic suppression of transport, enhanced localization at distant sites, and strong sensitivity to the initial particle position at long times. These results demonstrate that minimal perturbations can generate unexpected long-time transport signatures, establishing a microscopic defect-driven mechanism of quantum localization.

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