Anomalous Floquet-Anderson Insulator as a Nonadiabatic Quantized Charge Pump
By P. Titum, Erez Berg, Mark Rudner, G. Refael, N. Lindner. 2015
254 citations recorded by the source corpus.
We show that two-dimensional periodically driven quantum systems with spatial disorder admit a unique topological phase, which we call the anomalous Floquet-Anderson insulator (AFAI). The AFAI is characterized by a quasienergy spectrum featuring chiral edge modes coexisting with a fully localized bulk. Such a spectrum is impossible for a time-independent, local Hamiltonian. These unique characteristics of the AFAI give rise to a new topologically protected nonequilibrium transport phenomenon: quantized, yet nonadiabatic, charge pumping. We identify the topological invariants that distinguish the AFAI from a trivial, fully localized phase, and show that the two phases are separated by a phase transition.
Subfields: Atomic and Molecular Physics, and Optics
View Paper: https://www.semanticscholar.org/paper/3eba0e71ded2718d3142c170604899c2cd988b7a
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In Atomic and Molecular Physics, and Optics
- A. Nahum
- Matthew Fisher
- Ashvin Vishwanath
- V. Khemani
- S. Vijay
- T. Morimoto
- Nathan Goldman
- Andrew C. Potter
Citations in the corpus
- Random Quantum Circuits (2022, methodology): “For localized Floquet dynamics, the system can avoid thermalizing to infinite temperature, allowing for novel dynamical phases such as the Floquet time crystal phase, which spontaneously breaks discrete time-translation symmetry (203, 204), and in 2D the anomalous Floquet insulator, with protected c”
- Realization of an anomalous Floquet topological system with ultracold atoms (2020, background): “[52] P.”
- Periodic table for Floquet topological insulators (2016, background): “[35] Paraj Titum, Erez Berg, Mark S Rudner, Gil Refael, and Netanel H Lindner, “The anomalous Floquet-Anderson insulator as a non-adiabatic quantized charge pump,” arXiv (2015), 1506.”
- Chiral floquet phases of many-body localized bosons (2016, background): “While the definition of the winding number W can be adapted for disordered systems [31], its generalization to interacting systems is unclear.”
- Thouless pumping and topology (2022, background): “This establishes exciting connections to 2D topological Anderson insulators [64, 65] and anomalous Floquet Anderson insulators [66].”