Floquet engineering in superconducting circuits: from arbitrary spin-spin interactions to the Kitaev honeycomb model

Abstract

We derive a theory for the generation of arbitrary spin-spin interactions in superconducting circuits via periodic time modulation of the individual qubits or the qubit-qubit interactions. The modulation frequencies in our approach are in the microwave or radio frequency regime so that the required fields can be generated with standard generators. Among others, our approach is suitable for generating spin lattices that exhibit quantum spin liquid behavior such as Kitaev's honeycomb model.

arXiv comment21 pages, 9 figures

References in corpus (30)

• Anyons in an exactly solved model and beyond
• Charge insensitive qubit design derived from the Cooper pair box
• Logic gates at the surface code threshold: Superconducting qubits poised for fault-tolerant quantum computing
• Universal High-Frequency Behavior of Periodically Driven Systems: from Dynamical Stabilization to Floquet Engineering
• Floquet Engineering of Quantum Materials
• State preservation by repetitive error detection in a superconducting quantum circuit
• Quantum information processing with superconducting circuits: a review
• Periodically-driven quantum systems: Effective Hamiltonians and engineered gauge fields
• High-frequency approximation for periodically driven quantum systems from a Floquet-space perspective
• Detecting arbitrary quantum errors via stabilizer measurements on a sublattice of the surface code
• Chiral groundstate currents of interacting photons in a synthetic magnetic field
• Spectral signatures of many-body localization with interacting photons
• Digitized adiabatic quantum computing with a superconducting circuit
• A simple all-microwave entangling gate for fixed-frequency superconducting qubits
• Digital quantum simulation of fermionic models with a superconducting circuit
• Observation of a dissipative phase transition in a one-dimensional circuit QED lattice
• Demonstration of Universal Parametric Entangling Gates on a Multi-Qubit Lattice
• Detecting bit-flip errors in a logical qubit using stabilizer measurements
• Digital quantum simulation of spin models with circuit quantum electrodynamics
• Floquet engineering with quasienergy bands of periodically driven optical lattices
• Possible proximity of the Mott insulating Iridate Na2IrO3 to a topological phase: Phase diagram of the Heisenberg-Kitaev model in a magnetic field
• Microwave-induced coupling of superconducting qubits
• Observation of a Dissipation-Induced Classical to Quantum Transition
• Periodically-driven quantum matter: the case of resonant modulations
• Observation of Floquet states in a strongly driven artificial atom
• Topological states and braiding statistics using quantum circuits
• Superconducting Quantum Simulator for Topological Order and the Toric Code
• Floquet quantum simulation with superconducting qubits
• Exploring Interacting Quantum Many-Body Systems by Experimentally Creating Continuous Matrix Product States in Superconducting Circuits
• Simulating weak localization using superconducting quantum circuits

Cited by in corpus (31)

• Hunting Majorana Fermions in Kitaev Magnets
• Materials design of Kitaev spin liquids beyond the Jackeli-Khaliullin mechanism
• Floquet Cavity Electromagnonics
• Engineering and probing non-Abelian chiral spin liquids using periodically driven ultracold atoms
• Programmable Heisenberg interactions between Floquet qubits
• Variational Hamiltonian simulation for translational invariant systems via classical pre-processing
• Floquet-engineered enhancement of coherence times in a driven fluxonium qubit
• Synthesizing three-body interaction of spin chirality with superconducting qubits
• Observing light-induced Floquet band gaps in the longitudinal conductivity of graphene
• Single Shot i-Toffoli Gate in Dispersively Coupled Superconducting Qubits
• Nonequilibrium Majorana Dynamics by Quenching a Magnetic Field in Kitaev Spin Liquids
• Subdiffusive dynamics and critical quantum correlations in a disorder-free localized Kitaev honeycomb model out of equilibrium
• Superconducting quantum many-body circuits for quantum simulation and computing
• Fractionalized Prethermalization in a Driven Quantum Spin Liquid
• On the validity of many-mode Floquet theory with commensurate frequencies
• Counterdiabatic route for preparation of state with long-range topological order
• Large-scale simulations of Floquet physics on near-term quantum computers
• Quasiparticles of periodically driven quantum dot coupled between superconducting and normal leads
• Floquet Engineering of Lie Algebraic Quantum Systems
• Fully-programmable universal quantum simulator with a one-dimensional quantum processor
• Digital Quantum Simulation of the Kitaev Quantum Spin Liquid
• Variational Quantum Gate Optimization at the Pulse Level
• Quantum computation at the edge of a disordered Kitaev honeycomb lattice
• Theory of quasiparticle generation by microwave drives in superconducting qubits
• Real-time control of non-Abelian anyons in Kitaev spin liquid under energy dissipation
• Microwave Engineering of Tunable Spin Interactions with Superconducting Qubits
• Engineering Precise and Robust Effective Hamiltonians
• Flux-modulated tunable interaction regimes in two strongly nonlinear oscillators
• Engineering micromotion in Floquet prethermalization via space-time symmetries
• Suppression of scattering from slow to fast subsystems and application to resonantly Floquet-driven impurities in strongly interacting systems
• Emergent Kitaev materials in synthetic Fermi-Hubbard bilayers