Physical Review Research · 2020 · 15 citations · 61 references
Natural SciencesPhysicsCondensed Matter PhysicsMathematical PhysicsQuantum MechanicsLow-dimensional SystemsQuantum DynamicsQuantum Field TheorySpin DynamicsTopological DynamicsTopological Phases Of MatterFrequency ConversionInteraction-driven Topological PhasesNonlinear Frequency ConversionQuantum Frequency ConversionQuantum Topology ChangeTopological Band StructureTopological Spintronics
This work describes how interaction impact the topological properties of a quantum system with dynamically-induced synthetic dimensions. The authors study a minimal model of two interacting spins exposed to two incommensurate periodic drives. Their results show that the associated frequency conversion between the two fields occurs at topologically quantized rates that are forbidden in the non-interacting limit. Specifically, interaction enables an amplification of the dynamical topological effect
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<i>Colloquium</i>: Topological insulators
M. Zahid Hasan, C. L. Kane · Reviews of Modern Physics · 2010 · 19.9K citations · Full text
Quantized Hall Conductance in a Two-Dimensional Periodic Potential
D. J. Thouless, Mahito Kohmoto, M. P. Nightingale et al. · Physical Review Letters · 1982 · 6.9K citations · Full text