Topological energy conversion through bulk or boundary of driven systems

Abstract

Combining physical and synthetic dimensions allows a controllable realization and manipulation of high dimensional topological states. In our work, we introduce two quasiperiodically driven 1D systems which enable tunable topological energy conversion between different driving sources. Using three drives, we realize a 4D quantum Hall state which allows energy conversion between two of the drives within the bulk of the 1D system. With only two drives, we achieve energy conversion between the two at the edge of the chain. Both effects are a manifestation of the effective axion electrodynamics in a 3D time-reversal invariant topological insulator. Furthermore, we explore the effects of disorder and commensurability of the driving frequencies, and show the phenomena is robust. We propose two experimental platforms, based on semiconductor heterostructures and ultracold atoms in optical lattices, in order to observe the topological energy conversion.

16 pages, 10 figures

References in corpus (11)

• Photovoltaic Hall effect in graphene
• Topological characterization of periodically-driven quantum systems
• Measuring the Chern number of Hofstadter bands with ultracold bosonic atoms
• Topological Quantum Matter with Ultracold Gases in Optical Lattices
• Emergence of the persistent spin helix in semiconductor quantum wells
• Photonic topological pumping through the edges of a dynamical four-dimensional quantum Hall system
• Exploring 4D Quantum Hall Physics with a 2D Topological Charge Pump
• Photoinduced transition between conventional and topological insulators in two-dimensional electronic systems
• Topological Phases for Fermionic Cold Atoms on the Lieb Lattice
• Wilson Fermions and Axion Electrodynamics in Optical Lattices
• Spin-orbit interaction in GaAs wells: From one to two subbands

Cited by in corpus (34)

• Synthetic Dimension in Photonics
• Topological quantum matter in synthetic dimensions
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• Topological classification of quasi-periodically driven quantum systems
• Exploring 2D synthetic quantum Hall physics with a quasi-periodically driven qubit
• Time-quasiperiodic topological superconductors with Majorana Multiplexing
• Nonadiabatic Topological Energy Pumps with Quasiperiodic Driving
• Half-integer quantized topological response in quasiperiodically driven quantum systems
• Topological Frequency Conversion in a Driven Dissipative Quantum Cavity
• Edge mode manipulation through commensurate multifrequency driving
• Universal nonadiabatic energy pumping in a quasiperiodically driven extended system
• Interacting topological frequency converter
• Real-space topological invariant for time-quasiperiodic Majoranas
• Self-similar phase diagram of the Fibonacci-driven quantum Ising model
• Two-dimensional Thouless pumping in time-space crystalline structures
• Simulating Higher-Order Topological Insulators in Density Wave Insulators
• Energy polarization and energy pumping in Rice-Mele chains
• Distinct Floquet topological classifications from color-decorated frequency lattices with space-time symmetries
• Phase Transitions in Quasi-Periodically Driven Quantum Critical Systems: Analytical Results
• Energy Transfer in Random-Matrix ensembles of Floquet Hamiltonians
• Second Euler number in four dimensional synthetic matter
• Single and multi-frequency driving protocols in a Rashba nanowire proximitized to an s-wave superconductor
• Coupled Layer Construction for Synthetic Hall Effects in Driven Systems
• Curved vortex surfaces in four-dimensional superfluids: II. Equal-frequency double rotations
• Topological Burning Glass Effect
• Dissipative frequency converter: from Lindblad dynamics to non-Hermitian topology
• Topological frequency conversion in rhombohedral multilayer graphene
• Curved vortex surfaces in four-dimensional superfluids: I. Unequal-frequency double rotations
• Quantized frequency-domain polarization of driven phases of matter
• Absence of disordered Thouless pumps at finite frequency
• Fourier Neural Operators for Time-Periodic Quantum Systems: Learning Floquet Hamiltonians, Observable Dynamics, and Operator Growth
• Dissipative Yao-Lee Spin-Orbital Model: Exact Solvability and $\mathcal{P}\mathcal{T}$ Symmetry Breaking
• Topological dynamics of adiabatic cat states
• Non-abelian Geometric Quantum Energy Pump