Hyperbolic lattices in circuit quantum electrodynamics

By Alicia J. Kollár, Mattias Fitzpatrick, Andrew A. Houck. Nature, 2018

313 citations recorded by the source corpus.

After two decades of development, cavity quantum electrodynamics with superconducting circuits has emerged as a rich platform for quantum computation and simulation. Lattices of coplanar waveguide resonators constitute artificial materials for microwave photons, in which interactions between photons can be incorporateded either through the use of nonlinear resonator materials or through coupling between qubits and resonators. Here we make use of the previously overlooked property that these lattice sites are deformable and permit tight-binding lattices that are unattainable even in solid-state systems. We show that networks of coplanar waveguide resonators can create a class of materials that constitute lattices in an effective hyperbolic space with constant negative curvature. We present numerical simulations of hyperbolic analogues of the kagome lattice that show unusual densities of states in which a macroscopic number of degenerate eigenstates comprise a spectrally isolated flat band. We present a proof-of-principle experimental realization of one such lattice. This paper represents a step towards on-chip quantum simulation of materials science and interacting particles in curved space. An interconnected network made of superconducting microwave resonators is created as a step towards quantum simulations of interacting particles in hyperbolic space.

Subfields: Atomic and Molecular Physics, and Optics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/b5a0913337ba2c4486ec65c0d7e5bf524b10c472

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Citations in the corpus

Tailoring Structure‐Borne Sound through Bandgap Engineering in Phononic Crystals and Metamaterials: A Comprehensive Review (2022, background): “exotic phenomena such as flat bands and localized eigenstates [496].”
Quantum Simulators: Architectures and Opportunities (2019, background): “[6] Alicia J Kollár, Mattias Fitzpatrick, and Andrew A Houck.”
Circuit quantum electrodynamics (2020, background): “Taking advantage of the flexibility of superconducting quantum circuits, it is possible to create exotic networks of resonators such as lattices in an effective hyperbolic space with constant negative curvature (Kollár et al., 2019).”