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Quantum simulation of the Klein paradox with trapped ions

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arxiv 1007.3683 v2 pith:43QKDDGC submitted 2010-07-21 quant-ph

Quantum simulation of the Klein paradox with trapped ions

classification quant-ph
keywords scatteringquantumrelativisticdynamicsionskleinparticlesimulate
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We report on quantum simulations of relativistic scattering dynamics using trapped ions. The simulated state of a scattering particle is encoded in both the electronic and vibrational state of an ion, representing the discrete and continuous components of relativistic wave functions. Multiple laser fields and an auxiliary ion simulate the dynamics generated by the Dirac equation in the presence of a scattering potential. Measurement and reconstruction of the particle wave packet enables a frame-by-frame visualization of the scattering processes. By precisely engineering a range of external potentials we are able to simulate text book relativistic scattering experiments and study Klein tunneling in an analogue quantum simulator. We describe extensions to solve problems that are beyond current classical computing capabilities.

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Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Structure-Preserving Quantum Simulation of Wave Equations on a Trapped-Ion Processor

    quant-ph 2026-07 conditional novelty 6.0

    On Quantinuum H2-2, Fourier-based structure-preserving circuits resolve subdomain kinetic-energy dynamics for structured 1D/2D acoustic and Dirac wave problems up to 4096 encoded degrees of freedom with MAE ~0.006–0.024.