2020/10/31 by David M. Long, Philip J. D. Crowley, Anushya Chandran · 47 citations
Engineering · Physics and Astronomy · #Condensed matter physics #Electrical engineering #Energy (signal processing) #Engineering #Physics #Quantum chaos and dynamical systems #Quantum many-body systems #Quantum mechanics #Quasiperiodic function #Statistical physics #Theoretical physics #Topological Materials and Phenomena #Topology (electrical circuits) #cond-mat.dis-nn #cond-mat.mes-hall #cond-mat.quant-gas #quant-ph
paper · pdf · doi:10.1103/physrevlett.126.106805
published in Physical Review Letters 126(10), 106805 (American Physical Society) · 6 pages, 3 figures + 13 pages, 5 figures
openalex publication_date 2021/03/11 · arxiv created 2021/03/16 · arxiv updated 2021/03/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06
We derive a topological classification of the steady states of d-dimensional lattice models driven by D incommensurate tones. Mapping to a unifying (d+D)-dimensional localized model in frequency space reveals anomalous localized topological phases (ALTPs) with no static analog. While the formal classification is determined by d+D, the observable signatures of each ALTP depend on the spatial dimension d. For each d, with d+D=3, we identify a quantized circulating current and corresponding topological edge states. The edge states for a driven wire (d=1) function as a quantized, nonadiabatic energy pump between the drives. We design concrete models of quasiperiodically driven qubits and wires that achieve ALTPs of several topological classes. Our results provide a route to experimentally access higher dimensional ALTPs in driven low-dimensional systems.