Breakdown of quantization in nonlinear Thouless pumping

Abstract

The dynamics of solitons driven in a nonlinear Thouless pump and its connection with the system's topology were recently explored for both weak and strong nonlinear strength. This work uncovers the fate of nonlinear Thouless pumping in the regime of intermediate nonlinearity, thus establishing a fascinating crossover from the observation of nonzero and quantized pumping at weak nonlinearity to zero pumping at strong nonlinearity. We identify the presence of critical nonlinearity strength at which quantized pumping of solitons breaks down regardless of the protocol time scale. Such an obstruction to pumping quantization is attributed to the presence of loop structures of nonlinear topological bands. Our results not only unveil a missing piece of physics in nonlinear Thouless pumping, but also provide a means to detect loop structures of nonlinear systems investigated in real space.

arXiv comment26 pages, 9 figures. Published in NJP

References in corpus (35)

• Formation and Propagation of Matter Wave Soliton Trains
• Dark Solitons in Bose-Einstein Condensates
• Topological States and Adiabatic Pumping in Quasicrystals
• A Thouless Quantum Pump with Ultracold Bosonic Atoms in an Optical Superlattice
• Topological Thouless Pumping of Ultracold Fermions
• Nonlinear topological photonics
• Topological nature of nonlinear optical effects in solids
• 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
• Hysteresis in a quantized, superfluid atomtronic circuit
• Edge Solitons in Nonlinear Photonic Topological Insulators
• Observation of Topological Band Gap Solitons
• Superfluidity of Bose-Einstein Condensate in An Optical Lattice: Landau-Zener Tunneling and Dynamical Instability
• Theory of nonlinear Landau-Zener tunneling
• Topological Pumping over a Photonic Fibonacci Quasicrystal
• Self-induced topological transitions and edge states supported by nonlinear staggered potentials
• Band structure, elementary excitations, and stability of a Bose-Einstein condensate in a periodic potential
• Quantized Nonlinear Thouless Pumping
• Loop structure of the lowest Bloch band for a Bose-Einstein condensate
• Optical isolation with nonlinear topological photonics
• Quantized Fractional Thouless Pumping of Solitons
• Nonlinear Thouless pumping: solitons and transport breakdown
• Competition and interplay between topology and quasi-periodic disorder in Thouless pumping of ultracold atoms
• Experimental Observation of a Generalized Thouless Pump with a Single Spin
• Quantisation and its breakdown in a Hubbard-Thouless pump
• Chirality of topological gap solitons in bosonic dimer chains
• Interacting quantum fluid in a polariton topological insulator
• Nonlinearity induced topological physics in momentum space and real space
• The Chern Number Governs Soliton Motion in Nonlinear Thouless Pumps
• Casorati Determinant Form of Dark Soliton Solutions of the Discrete Nonlinear Schrödinger Equation
• Nonlinear Landau-Zener Processes in a Periodic Driving Field
• Nonlinear Dirac Cones
• Nonlinear Phenomena of Ultracold Atomic Gases in Optical Lattices: Emergence of Novel Features in Extended States
• Floquet eigenspectra of a nonlinear two-mode system under periodic driving: the emergence of "ring" structures
• Topological characteristics of gap closing points in nonlinear Weyl semimetals

Cited by in corpus (9)

• Nonlinear Thouless Pumping of Solitons Across an Impurity
• Nonlinearity-induced Fractional Thouless Pumping of Solitons
• Transport of Vector Solitons in Spin-Dependent Nonlinear Thouless Pumps
• Anomalous bulk-edge correspondence of nonlinear Rice-Mele model
• Nonadiabatic nonlinear non-Hermitian quantized pumping
• Fractional Thouless pumping of solitons: a unique manifestation of bulk-edge correspondence of nonlinear eigenvalue problems
• Quantum theory of fractional topological pumping of lattice solitons
• Soliton Pumping in the Rice-Mele Model with On-Cell Kerr Nonlinearity
• Nonreciprocity Induced Fractional Nonlinear Thouless Pumping