Quantum annealing and non-equilibrium dynamics of Floquet Chern insulators

Abstract

Inducing topological transitions by a time-periodic perturbation offers a route to controlling the properties of materials. Here we show that the adiabatic preparation of a non-trivial state involves a selective population of edge-states, due to exponentially-small gaps preventing adiabaticity. We illustrate this by studying graphene-like ribbons with hopping's phases of slowly increasing amplitude, as for, e.g., a circularly polarized laser slowly turned-on. The induced currents have large periodic oscillations, but flow solely at the edges upon time-averaging, and can be controlled by focusing the laser on either edge. The bulk undergoes a non-equilibrium topological transition, as signaled by the local Chern marker introduced by Bianco & Resta in equilibrium. The failure of the adiabatic picture in presence of intraband resonances is discussed.

Revised version, improved discussion of resonant case, new clearer figures, improved presentation; 5 pages, 4 figures, plus supplementary material

References in corpus (11)

• Photovoltaic Hall effect in graphene
• Topological characterization of periodically-driven quantum systems
• Tuning laser-induced bandgaps in graphene
• Disorder-induced Floquet Topological Insulators
• Multiterminal Conductance of a Floquet Topological Insulator
• Out of equilibrium electrons and the Hall conductance of a Floquet topological insulator
• Effective Theory of Floquet Topological Transitions
• Topology induced anomalous defect production by crossing a quantum critical point
• Quantum Quenches in Chern Insulators
• Edge states in graphene-like systems
• Magnetization signatures of light-induced quantum Hall edge states

Cited by in corpus (28)

• Adiabatic Perturbation Theory and Geometry of Periodically-Driven Systems
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• Topological Marker Currents in Chern Insulators
• Interconnections between equilibrium topology and dynamical quantum phase transitions in a linearly ramped Haldane model
• Edge states reconstruction from strong correlations in quantum spin Hall insulators
• Spin and topological order in a periodically driven spin chain
• Kibble-Zurek behavior in disordered Chern insulators
• Fibonacci steady states in a driven integrable quantum system
• Loading Ultracold Gases in Topological Floquet Bands: Current and Center-of-Mass Responses
• Quenching in Chern insulators with satellite Dirac points: The fate of edge states
• Topological phase transitions in finite-size periodically driven translationally invariant systems
• Two-dimensional quantum walk with non-Hermitian skin effects
• Slow quenches in two-dimensional time-reversal symmetric Z2 topological insulators
• Entanglement properties of the time periodic Kitaev Chain
• Preparing Atomic Topological Quantum Matter by Adiabatic Nonunitary Dynamics
• Floquet resonances close to the adiabatic limit and the effect of dissipation
• Time-resolved Hall conductivity of pulse-driven topological quantum systems
• Destruction of string order after a quantum quench
• Interacting topological frequency converter
• Exact results in Floquet coin toss for driven integrable models
• Slow quenches in Chern insulator ribbons
• Non-adiabatic bulk-surface oscillations in driven topological insulators
• Entanglement properties of Floquet Chern insulators
• Feasible model for photo-induced interband pairing
• The Streda Formula for Floquet Systems: Topological Invariants and Quantized Anomalies from Cesaro Summation
• Transport signatures of a Floquet topological transition at the helical edge
• Universal Landau-Zener regimes in dynamical topological phase transitions
• Topology, oxidation states, and charge transport in ionic conductors