Two-dimensional Thouless pumping in time-space crystalline structures
arXiv:2206.14804 · doi:10.1103/PhysRevB.106.144301
Abstract
Dynamics of particle in a resonantly driven quantum well can be interpreted as that of a particle in a crystal-like structure, with the time playing the role of the coordinate. By introducing an adiabatically varied phase in the driving protocol, we demonstrate a realization of the Thouless pumping in such a time crystalline structure. Next, we extend the analysis beyond a single quantum well by considering a driven one-dimensional optical lattice, thereby engineering a 2D time-space crystalline structure. Such a setup allows us to explore adiabatic pumping in the spatial and the temporal dimensions separately, as well as to simulate simultaneous time-space pumping.
arXiv comment11 pages; version accepted for publication in Phys. Rev. B
References in corpus (32)
- Berry Phase Effects on Electronic Properties
- A Thouless Quantum Pump with Ultracold Bosonic Atoms in an Optical Superlattice
- Topological Thouless Pumping of Ultracold Fermions
- A beginner's guide to the modern theory of polarization
- Photonic topological pumping through the edges of a dynamical four-dimensional quantum Hall system
- Time crystals: a review
- Exploring 4D Quantum Hall Physics with a 2D Topological Charge Pump
- Wannier representation of Z_2 topological insulators
- Floquet-Bloch theory and topology in periodically driven lattices
- Topology of photonic time-crystals
- Space-time crystals of trapped ions
- Non-dispersive wave packets in periodically driven quantum systems
- Quantum-Mechanical Position Operator and Localization in Extended Systems
- Phase Space Crystals: A New Way to Create a Quasienergy Band Structure
- The 6D quantum Hall effect and 3D topological pumps
- Floquet dynamics in driven Fermi-Hubbard systems
- Time crystal platform: from quasi-crystal structures in time to systems with exotic interactions
- Condensed Matter Physics in Time Crystals
- Anderson localization and Mott insulator phase in the time domain
- Topological Time Crystals
- Time-quasiperiodic topological superconductors with Majorana Multiplexing
- Many-body localization caused by temporal disorder
- Topological energy conversion through bulk or boundary of driven systems
- Three-dimensional localized-delocalized Anderson transition in the time domain
- Transport in Floquet-Bloch bands
- Synthesizing Lattice Structure in Phase Space
- Effective Long-distance Interaction from Short-distance Interaction in Periodically Driven One-dimensional Classical System
- Floquet-Bloch Oscillations and Intraband Zener Tunneling in an Oblique Spacetime Crystal
- Six-dimensional time-space crystalline structures
- Chaos-Assisted Long-Range Tunneling for Quantum Simulation
- Transport controlled by Poincaré orbit topology in a driven inhomogeneous lattice gas
- Non-trivial time crystal-like ground state for gravitational perturbation in quadratic gravity
Cited by in corpus (5)
- Unified theory of local quantum many-body dynamics: Eigenoperator thermalization theorems
- Synthetic dimensions for topological and quantum phases: Perspective
- Phase diagram and topology of the XXZ chain with alternating bonds and staggered magnetic field
- Opening Krylov space to access all-time dynamics via dynamical symmetries
- Eight-dimensional topological systems simulated using time-space crystalline structures