Tailoring quantum gases by Floquet engineering

Abstract

Floquet engineering is the concept of tailoring a system by a periodic drive. It has been very successful in opening new classes of Hamiltonians to the study with ultracold atoms in optical lattices, such as artificial gauge fields, topological band structures and density-dependent tunneling. Furthermore, driven systems provide new physics without static counterpart such as anomalous Floquet topological insulators. In this review article, we provide an overview of the exciting developments in the field and discuss the current challenges and perspectives.

arXiv commentReview article, original submission version

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• Exploring Unconventional Hubbard Models with Doubly Modulated Lattice Gases
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• Parametric instabilities in a 2D periodically-driven bosonic system: Beyond the weakly-interacting regime
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• Correlated Spin-Flip Tunneling in a Fermi Lattice Gas
• Floquet-Induced Superfluidity with Periodically Modulated Interactions of Two-Species Hardcore Bosons in a One-dimensional Optical Lattice
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• Floquet topological insulators: from band structure engineering to novel non-equilibrium quantum phenomena
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Cited by in corpus (117)

• Scalable High-Performance Fluxonium Quantum Processor
• Bicircular light tuning of magnetic symmetry and topology in Dirac semimetal Cd${}_3$As${}_2$
• Quantum time reflection and refraction of ultracold atoms
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• Engineering and probing non-Abelian chiral spin liquids using periodically driven ultracold atoms
• Programmable Heisenberg interactions between Floquet qubits
• Topological pumping in a Floquet-Bloch band
• Interaction-induced non-Hermitian topological phases from a dynamical gauge field
• Non-Hermitian Floquet Topological Matter -- A Review
• Atom Interferometry with Floquet Atom Optics
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• Two-axis twisting using Floquet-engineered XYZ spin models with polar molecules
• Synthetic dimensions for topological and quantum phases: Perspective
• Topological Floquet engineering using two frequencies in two dimensions
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• Non-Hermitian Skin Effect in Periodically-Driven Dissipative Ultracold Atoms
• Recent progress on quantum simulations of non-standard Bose-Hubbard models
• Counterdiabatic Driving for Periodically Driven Systems
• Persistent currents in ultracold gases
• Floquet engineering of optical nonlinearities: a quantum many-body approach
• Floquet-engineered nonlinearities and controllable pair-hopping processes: From optical Kerr cavities to correlated quantum matter
• Atomic Quantum Technologies for Quantum Matter and Fundamental Physics Applications
• Frequency combs with parity-protected cross-correlations from dynamically modulated qubit arrays
• Unified Light-Matter Floquet Theory and its Application to Quantum Communication
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• Period-doubled Floquet Solitons
• Multi-frequency optical lattice for dynamic lattice-geometry control
• Taming quantum systems: A tutorial for using shortcuts-to-adiabaticity, quantum optimal control, and reinforcement learning
• Colloquium: Synthetic quantum matter in non-standard geometries
• Anomalous topological edge modes in a periodically-driven trimer lattice
• Quantum control by effective counterdiabatic driving
• Quantum computing Floquet energy spectra
• Atomtronic multi-terminal Aharonov-Bohm interferometer
• Large-scale simulations of Floquet physics on near-term quantum computers
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• Spread complexity and quantum chaos for periodically driven spin chains
• A Kapitza Pendulum for Ultracold Atoms
• Chiral current in Floquet cavity-magnonics
• The Streda Formula for Floquet Systems: Topological Invariants and Quantized Anomalies from Cesaro Summation
• Evidence for Quantum Stripe Ordering in a Triangular Optical Lattice
• Dissipative Dicke time crystals: an atoms' point of view
• Robustness of controlled Hamiltonian approaches to unitary quantum gates
• Floquet engineering using pulse driving in a diamond two-level system under a large-amplitude modulation
• Accelerated creation of NOON states with ultracold atoms via counterdiabatic driving
• Interaction-Induced Second-Order Skin Effect
• Fractional resonances and prethermal states in Floquet systems
• Many-body nonequilibrium dynamics in a self-induced Floquet system
• Emergence of a tunable crystalline order in a Floquet-Bloch system from a parametric instability
• Light-induced Floquet spin-triplet Cooper pairs in unconventional magnets
• Quantum state preparation of topological chiral spin liquids via Floquet engineering
• From prethermalization to chaos in periodically driven coupled rotors
• Floquet States
• Counterdiabatic Route to Entanglement Steering and Dynamical Freezing in the Floquet Lipkin-Meshkov-Glick Model
• Two-mode Squeezing in Floquet Engineered Power-law Interacting Spin Models
• Instabilities of interacting matter waves in optical lattices with Floquet driving
• Oscillatory states of quantum Kapitza pendulum
• Engineering nonequilibrium steady states through Floquet Liouvillians
• Engineering frustrated Rydberg spin models by graphical Floquet modulation
• Floquet-engineered chiral-induced spin selectivity
• Full tunability and quantum coherent dynamics of a driven multilevel system
• Individually tunable tunnelling coefficients in optical lattices using local periodic driving
• Loss-induced universal one-way transport in periodically driven systems
• Prethermalization by Random Multipolar Driving on a 78-Qubit Superconducting Processor
• Floquet expansion by counting pump photons
• Landau-Zener without a Qubit: Unveiling Multiphoton Interference, Synthetic Floquet Dimensions, and Dissipative Quantum Chaos
• Quantum metrology with Bloch Oscillations in Floquet phase space
• Tuned gap in graphene through laser barrier
• Floquet-driven crossover from density-assisted tunneling to enhanced pair tunneling
• Dissipative preparation of a Floquet topological insulator in an optical lattice via bath engineering
• Floquet-Engineering of Feshbach Resonances in Ultracold Gases
• The anomalous Floquet Anderson insulator in a continuously driven optical lattice
• Influence of Dynamical Floquet Spectrum on the Plasmon Excitations and Exchange Energy of tilted monolayer 1T${}^{\prime }$MoS${}_2$
• Characterizing Floquet topological phases by quench dynamics: A multiple-subsystem approach
• Floquet topological phase transitions induced by uncorrelated or correlated disorder
• Continuously tracked, stable, large excursion trajectories of dipolar coupled nuclear spins
• Superfluidity vs prethermalisation in a nonlinear Floquet system
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• Stability of superfluids in tilted optical lattices with periodic driving
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• Quasiperiodic Floquet-Gibbs states in Rydberg atomic systems
• Statistical prethermalization in randomly kicked many-body classical rotor system
• Generating Symmetry-Protected Long-Range Entanglement in Many-Body Systems
• Stability of Floquet sidebands and quantum coherence in 1D strongly interacting spinless fermions
• Quantum phase diagram for two species hardcore bosons in one-dimensional optical lattices with the resonantly driven Rabi frequency
• Exact-WKB Analysis of Two-level Floquet Systems
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• Ultracold atomic lattice systems for simulating topological phases: A review
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