1d-qt-ideal-solver: 1D Idealized Quantum Tunneling Solver with Absorbing Boundaries

• URL: http://arxiv.org/abs/2512.22634v1
• Date: Sat, 27 Dec 2025 16:13:44 GMT
• Title: 1d-qt-ideal-solver: 1D Idealized Quantum Tunneling Solver with Absorbing Boundaries
• Authors: Sandy H. S. Herho, Siti N. Kaban, Rusmawan Suwarman, Iwan P. Anwar, Nurjanna J. Trilaksono,
• Abstract summary: 1d-qt-ideal-solver is an open-source Python library for simulating quantum tunneling dynamics.<n>Numba just-in-time compilation achieves performance comparable to compiled languages.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We present 1d-qt-ideal-solver, an open-source Python library for simulating one-dimensional quantum tunneling dynamics under idealized coherent conditions. The solver implements the split-operator method with second-order Trotter-Suzuki factorization, utilizing FFT-based spectral differentiation for the kinetic operator and complex absorbing potentials to eliminate boundary reflections. Numba just-in-time compilation achieves performance comparable to compiled languages while maintaining code accessibility. We validate the implementation through two canonical test cases: rectangular barriers modeling field emission through oxide layers and Gaussian barriers approximating scanning tunneling microscopy interactions. Both simulations achieve exceptional numerical fidelity with machine-precision energy conservation over femtosecond-scale propagation. Comparative analysis employing information-theoretic measures and nonparametric hypothesis tests reveals that rectangular barriers exhibit moderately higher transmission coefficients than Gaussian barriers in the over-barrier regime, though Jensen-Shannon divergence analysis indicates modest practical differences between geometries. Phase space analysis confirms complete decoherence when averaged over spatial-temporal domains. The library name reflects its scope: idealized signifies deliberate exclusion of dissipation, environmental coupling, and many-body interactions, limiting applicability to qualitative insights and pedagogical purposes rather than quantitative experimental predictions. Distributed under the MIT License, the library provides a deployable tool for teaching quantum mechanics and preliminary exploration of tunneling dynamics.

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