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.

6+23 pages; 4+18 figures

References in corpus (24)

• Topological Photonics
• Charge insensitive qubit design derived from the Cooper pair box
• Photonic topological pumping through the edges of a dynamical four-dimensional quantum Hall system
• Exploring 4D Quantum Hall Physics with a 2D Topological Charge Pump
• Topological quantum matter in synthetic dimensions
• Quantum walks on a programmable two-dimensional 62-qubit superconducting processor
• Superadiabatic population transfer in a three-level superconducting circuit
• Aharonov-Bohm photonic cages in waveguide and coupled resonator lattices by synthetic magnetic fields
• Low-loss interconnects for modular superconducting quantum processors
• Coherent control of quantum topological states of light in Fock-state lattices
• Formation of robust bound states of interacting microwave photons
• Aharonov-Bohm Caging and Inverse Anderson transition in Ultracold Atoms
• Non-Abelian inverse Anderson transitions
• Simulating Chern insulators on a superconducting quantum processor
• Performing SU($d$) operations and rudimentary algorithms in a superconducting transmon qudit for $d=3$ and $d=4$
• Observation of many-body Fock space dynamics in two dimensions
• Flat-band localization and interaction-induced delocalization of photons
• Synthesizing five-body interaction in a superconducting quantum circuit
• Synthetic dimensions for topological and quantum phases: Perspective
• Realization of an atomic quantum Hall system in four dimensions
• Observation of higher-order topological states on a quantum computer
• Empowering high-dimensional quantum computing by traversing the dual bosonic ladder
• Implementing a synthetic magnetic vector potential in a 2D superconducting qubit array
• Majorana corner states on the dice lattice

Cited by in corpus (5)

• 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