Synthetic multi-dimensional Aharonov-Bohm cages in Fock state lattices

Abstract

Fock-state lattices (FSLs), composed of photon number states with infinite Hilbert space, have emerged as a promising platform for simulating high-dimensional physics due to their potential to extend into arbitrarily high dimensions. Here, we demonstrate the construction of multi-dimensional FSLs using superconducting quantum circuits. By controlling artificial gauge fields within their internal structures, we investigate flux-induced extreme localization dynamics, such as Aharonov-Bohm caging, extending from 2D to 3D. We also explore the coherent interference of quantum superposition states, achieving extreme localization within specific subspaces assisted by quantum entanglement. Our findings pave the way for manipulating the behavior of a broad class of quantum states in higher-dimensional systems.

arXiv comment6+23 pages; 4+18 figures

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• Environmental Quantum States Trigger Emission in Nonlinear Photonics
• Liouville Fock state lattices and potential simulators
• Synthetic $\pi$-flux system in 2D superconducting qubit array with tunable coupling
• Experimental Proposal on Non-Abelian Aharonov-Bohm Caging Effect with a Single Trapped Ion
• Synchronized Aharonov-Bohm Motifs via Engineered Dissipation