Synthetic dimensions for topological and quantum phases: Perspective

Abstract

In this Perspective article we report on recent progress on studies of synthetic dimensions, mostly, but not only, based on the research realized around the Barcelona groups (ICFO, UAB), Donostia (DIPC), Poznań (UAM), Kraków (UJ), and Allahabad (HRI). The concept of synthetic dimensions works particularly well in atomic physics, quantum optics, and photonics, where the internal degrees of freedom (Zeeman sublevels of the ground state, metastable excited states, or motional states for atoms, and angular momentum states or transverse modes for photons) provide the synthetic space. We describe our attempts to design quantum simulators with synthetic dimensions, to mimic curved spaces, artificial gauge fields, lattice gauge theories, twistronics, quantum random walks, and more.

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• Engineering Quantum Hall Phases in Synthetic Bilayer Graphene System
• Chiral spin currents in a trapped-ion quantum simulator using Floquet engineering
• Flat-band-induced superconductivity in synthetic bilayer optical lattices
• Cold-atom quantum simulators of gauge theories
• Synthetic Random Flux Model in a periodically-driven optical lattice
• Two-dimensional Thouless pumping in time-space crystalline structures
• Fractal Nodal Band Structures
• Basis for time crystal phenomena in ultra-cold atoms bouncing on an oscillating mirror
• Multifractal Properties of Tribonacci Chains
• Eight-dimensional topological systems simulated using time-space crystalline structures
• Exposing Hypersensitivity in Quantum Chaotic Dynamics

Cited by in corpus (16)

• A comprehensive review on developments of synthetic dimensions
• Many-body Physics of Ultracold Alkaline-Earth atoms with SU($N$)-symmetric interactions
• Synthetic multi-dimensional Aharonov-Bohm cages in Fock state lattices
• Synthetic non-Abelian Electric Fields and Spin-Orbit Coupling in Photonic Synthetic Dimensions
• Topological quantum thermometry
• Quantum sensing with ultracold simulators in lattice and ensemble systems: a review
• String breaking dynamics in Ising chain with local vibrations
• Frustrated Bose ladder with extended range density-density interaction
• Higher-dimensional magnetic Skyrmions
• Phase-Space Topology in a Single-Atom Synthetic Dimension
• Phase fields in momentum space of photonic crystal slabs
• Ultracold atomic lattice systems for simulating topological phases: A review
• Encoding a topological gauge theory on a ring-shaped Raman-coupled Bose gas
• Emergent Kitaev materials in synthetic Fermi-Hubbard bilayers
• Preparing Code States via Seed-Entangler-Enriched Sequential Quantum Circuits: Application to Tetra-Digit Topological Error-Correcting Codes
• Deterministic linear-optical computing with symmetry-based qubits