Engineering entanglement and transport in interacting quantum walks with tailored potentials
- URL: http://arxiv.org/abs/2606.17825v1
- Date: Tue, 16 Jun 2026 11:52:03 GMT
- Title: Engineering entanglement and transport in interacting quantum walks with tailored potentials
- Abstract summary: Controlling the interplay between particle propagation and quantum correlation generation is a central challenge in quantum transport.<n>We investigate two distinguishable continuous-time quantum walkers evolving on parallel one-dimensional lattices, interacting via distance-dependent potentials.<n>Our results provide a tool for designing interaction-engineered quantum walks with potential applications in quantum information processing and simulations.
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- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: Controlling the interplay between particle propagation and quantum correlation generation is a central challenge in quantum transport. Here, we investigate two distinguishable continuous-time quantum walkers evolving on parallel one-dimensional lattices, interacting via distance-dependent potentials. While on-site interactions reproduce the typical bosonic behaviour, extending the interaction to a linear potential over multiple neighbors introduces controlled Bloch-like oscillations and shifts the bound-pair regime to stronger couplings. More generally, we explore a Coulomb-like interaction parameterized by strength, spatial scaling, and decay rate. This reveals a rich phase diagram including four distinct dynamical regimes: (i) a high-entropy, oscillatory regime akin to a linear potential; (ii) a strongly localized, bound-pair regime; (iii) a novel intermediate regime combining near-ballistic spreading with strong correlations; and (iv) a weakly interacting, free-propagation regime. Notably, regime (iii) achieves concurrent optimization of transport efficiency and entanglement, offering a sweet spot for correlated quantum dynamics. Our results provide a tool for designing interaction-engineered quantum walks with potential applications in quantum information processing and simulations.
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