Universal nonadiabatic energy pumping in a quasiperiodically driven extended system
arXiv:2110.07757 · doi:10.1103/PhysRevB.104.224301
Abstract
The paradigm of Floquet engineering of topological states of matter can be generalized into the time-quasiperiodic scenario, where a lower dimensional time-dependent system maps into a higher dimensional one by combining the physical dimensions with additional synthetic dimensions generated by multiple incommensurate driving frequencies. Different than most previous works in which gapped topological phases were considered, we propose an experimentally realizable, one dimensional chain driven by two frequencies, which maps into a gapless Weyl semimetal in synthetic dimension. Based on analytical reasoning and numerical simulations, we found the nonadiabatic quantum dynamics of this system exhibit energy pumping behaviors characterized by universal functions. We also numerically found such behaviors are robust against a considerable amount of spatial disorder.
arXiv comment11 pages, 7 figures
References in corpus (40)
- Berry Phase Effects on Electronic Properties
- Weyl and Dirac Semimetals in Three Dimensional Solids
- QuTiP 2: A Python framework for the dynamics of open quantum systems
- QuTiP: An open-source Python framework for the dynamics of open quantum systems
- Floquet Topological Insulator in Semiconductor Quantum Wells
- Photovoltaic Hall effect in graphene
- Topological characterization of periodically-driven quantum systems
- Observation of a Discrete Time Crystal
- Transport properties of non-equilibrium systems under the application of light: Photo-induced quantum Hall insulators without Landau levels
- Observation of discrete time-crystalline order in a disordered dipolar many-body system
- Floquet Time Crystals
- On the phase structure of driven quantum systems
- Topological Quantum Matter with Ultracold Gases in Optical Lattices
- Topological Thouless Pumping of Ultracold Fermions
- Discrete time crystals: rigidity, criticality, and realizations
- Topological quantum matter in synthetic dimensions
- Photoinduced transition between conventional and topological insulators in two-dimensional electronic systems
- Absolute Stability and Spatiotemporal Long-Range Order in Floquet systems
- Pre-thermal phases of matter protected by time-translation symmetry
- The anomalous Floquet-Anderson insulator as a non-adiabatic quantized charge pump
- Tunable Weyl Points in Periodically Driven Nodal Line Semimetals
- Quantum-state control in optical lattices
- Classification of Interacting Topological Floquet Phases in One Dimension
- Wilson Fermions and Axion Electrodynamics in Optical Lattices
- Topological Floquet Spectrum in Three Dimensions via a Two-Photon Resonance
- Topological frequency conversion in strongly driven quantum systems
- Floquet symmetry-protected topological phases in cold atomic systems
- Abelian Floquet symmetry-protected topological phases in one dimension
- Long-lived interacting phases of matter protected by multiple time-translation symmetries in quasiperiodically-driven systems
- Topological classification of quasi-periodically driven quantum systems
- Exploring 2D synthetic quantum Hall physics with a quasi-periodically driven qubit
- Nonadiabatic Topological Energy Pumps with Quasiperiodic Driving
- Periodically Driven Sachdev-Ye-Kitaev Models
- Topological energy conversion through bulk or boundary of driven systems
- Half-integer quantized topological response in quasiperiodically driven quantum systems
- Topological Frequency Conversion in a Driven Dissipative Quantum Cavity
- Topological two-dimensional Floquet lattice on a single superconducting qubit
- Quasiperiodic Floquet-Thouless energy pump
- Quantum frequency locking and down-conversion in a driven cavity-qubit system
- Photon pumping in a weakly-driven quantum cavity-spin system
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- Fourier Neural Operators for Time-Periodic Quantum Systems: Learning Floquet Hamiltonians, Observable Dynamics, and Operator Growth
- Topological dynamics of adiabatic cat states
- Non-abelian Geometric Quantum Energy Pump
- Topological energy pumping in a quasi-periodically driven four-level system
- Dissipative Yao-Lee Spin-Orbital Model: Exact Solvability and Symmetry Breaking