Classification of Interacting Topological Floquet Phases in One Dimension

2016/02/29 by Andrew C. Potter, Takahiro Morimoto, Ashvin Vishwanath · 242 citations
Mathematics · Physics and Astronomy · #Classical mechanics #Cold Atom Physics and Bose-Einstein Condensates #Dimension (graph theory) #Floquet theory #Mathematics #Nonlinear system #Physics #Pure mathematics #Quantum #Quantum many-body systems #Quantum mechanics #Statistical physics #Theoretical physics #Topological Materials and Phenomena #Topology (electrical circuits) #cond-mat.dis-nn #cond-mat.mes-hall #cond-mat.str-el

paper · pdf · doi:10.1103/physrevx.6.041001

published in Physical Review X 6(4) (American Physical Society) · 17 pages, 3 figures, v3: title changed to reflect published version

openalex publication_date 2016/10/03 · arxiv created 2017/05/25 · arxiv updated 2017/05/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06

Abstract

Repeatedly driving a system with electromagnetic pulses can produce dramatically new quantum properties. A theoretical understanding of new types of quantum phases of interacting matter that exist only in the face of periodic driving is presented.

Citations

• Interaction effects on 3D topological superconductors: surface topological order from vortex condensation, the 16 fold way and fermionic Kramers doublets
• Fate of Many-Body Localization Under Periodic Driving
• Colloquium: Artificial gauge potentials for neutral atoms
• Local Conservation Laws and the Structure of the Many-Body Localized States
• Symmetry protected topological orders and the group cohomology of their symmetry group
• Entanglement spectrum of a topological phase in one dimension
• Chiral symmetry and bulk-boundary correspondence in periodically driven one-dimensional systems
• Nonlinear Field Theory of Large-Spin Heisenberg Antiferromagnets: Semiclassically Quantized Solitons of the One-Dimensional Easy-Axis Néel State
• Spectral features of a many-body-localized system weakly coupled to a bath
• Many-Body Localization in Periodically Driven Systems
• Anyons in an exactly solved model and beyond
• Unpaired Majorana fermions in quantum wires
• Symmetry Protected Topological Phases, Anomalies, and Cobordisms: Beyond Group Cohomology
• Effects of Disorder on a 1-D Floquet Symmetry Protected Topological Phase
• On the phase structure of driven quantum systems
• Classification of topological phases in periodically driven interacting systems

Cited by

• Tunable Floquet selection rules in a driven Ising chain
• Response of a quantum disordered spin system to a local periodic drive
• Quantized Magnetization Density in Periodically Driven Systems