Quantized Adiabatic Transport in Momentum Space

Abstract

Though topological aspects of energy bands are known to play a key role in quantum transport in solid-state systems, the implications of Floquet band topology for transport in momentum space (i.e., acceleration) are not explored so far. Using a ratchet accelerator model inspired by existing cold-atom experiments, here we characterize a class of extended Floquet bands of one-dimensional driven quantum systems by Chern numbers, reveal topological phase transitions therein, and theoretically predict the quantization of adiabatic transport in momentum space. Numerical results confirm our theory and indicate the feasibility of experimental studies.

Main text of 11 pages plus Appendix of 13 pages. To appear in Phys. Rev. Lett

References in corpus (23)

• Floquet Topological Insulator in Semiconductor Quantum Wells
• Topological characterization of periodically-driven quantum systems
• Experimental observation of the Anderson transition with atomic matter waves
• Edge states and topological phases in one-dimensional optical superlattices
• Between a metal and an insulator: the critical state of the Anderson transition
• Experimental Realization of Quantum-Resonance Ratchets
• Experimental Test of Universality of the Anderson Transition
• Simulating Z_2 topological insulators with cold atoms in a one-dimensional optical lattice
• Rectified momentum transport for a kicked Bose-Einstein Condensate
• Ratchet effect for cold atoms in an optical lattice
• Time Dependent Floquet Theory and Absence of an Adiabatic Limit
• Quantum Hall effect in a one-dimensional dynamical system
• Observation of high-order quantum resonances in the kicked rotor
• Proposal of a Cold-atom Realization of Quantum Maps with Hofstadter's Butterfly Spectrum
• Generic Quantum Ratchet Accelerator with Full Classical Chaos
• Directed anomalous diffusion without a biased field: A ratchet accelerator
• Sub-Fourier characteristics of a $\delta$-kicked rotor resonance
• Atoms in double-delta-kicked periodic potentials: chaos with long-range correlations
• Quantum Ratchet Accelerator without a Bichromatic Lattice Potential
• $2\delta$-Kicked Quantum Rotors: Localization and `Critical' Statistics
• Quasienergy anholonomy and its application to adiabatic quantum state manipulation
• Band Distributions for Quantum Chaos on the Torus
• Adiabatic Theorem for Discrete Time Evolution

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• Topological Effects in Chiral Symmetric Driven Systems
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• Aspects of Floquet Bands and Topological Phase Transitions in a Continuously Driven Superlattice
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• Generalized bulk-boundary correspondence in periodically driven non-Hermitian systems
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• Topological Phase Transition and Charge Pumping in a One-Dimensional Periodically Driven Optical Lattice
• Emergence of integer quantum Hall effect from chaos
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• Kinetic derivation of generalized phase space Chern-Simons theory
• Electron Interaction Effects in Periodically Driven Kitaev Model: Topology Breaking and Enhancement of Quantum Chaos
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• Coexistence of directed momentum current and ballistic energy diffusion in coupled non-Hermitian kicked rotors
• Multiple topological transitions and spectral singularities in non-Hermitian Floquet systems
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• Uncover band topology via quantized drift in two-dimensional Bloch oscillations
• Topological Properties of Adiabatically Varied Floquet Systems
• Five-dimensional Floquet topological semimetals with emergent Yang monopoles and linked Weyl surfaces
• Interband coherence induced correction to Thouless pumping: possible observation in cold-atom systems
• Quantum geometry and geometric entanglement entropy of one-dimensional Floquet topological matter
• Symmetry and dynamics universality of supermetal in quantum chaos
• Anomalous multi-gap topological phases in periodically driven quantum rotors
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