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

TL;DR

This paper demonstrates the construction of multi-dimensional Fock-state lattices in superconducting circuits, enabling the study of high-dimensional quantum localization phenomena like Aharonov-Bohm caging and quantum interference effects.

Contribution

It introduces a method to create and control multi-dimensional Fock-state lattices with artificial gauge fields in superconducting circuits, extending localization studies into higher dimensions.

Findings

Observation of flux-induced Aharonov-Bohm caging in 3D

Control of quantum superposition interference for localization

Extension of high-dimensional localization phenomena

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.