Interband Coherence Induced Correction to Adiabatic Pumping in Periodically Driven Systems

Abstract

Periodic driving can create topological phases of matter absent in static systems. In terms of the displacement of the position expectation value of a time-evolving wavepacket in a closed system, a type of adiabatic dynamics in periodically driven systems is studied for general initial states possessing coherence between different Floquet bands. Under one symmetry assumption, the displacement of the wavepacket center over one adiabatic cycle is found to be comprised by two components independent of the time scale of the adiabatic cycle: a weighted integral of the Berry curvature summed over all Floquet bands, plus an interband coherence induced correction. The found correction is beyond a naive application of the quantum adiabatic theorem but survives in the adiabatic limit due to interband coherence. Our theoretical results are hence of general interest towards an improved understanding of the quantum adiabatic theorem. Our theory is checked using a periodically driven superlattice model with nontrivial topological phases. In addition to probing topological phase transitions, the adiabatic dynamics studied in this work is now also anticipated to be useful in manifesting coherence and decoherence effects in the representation of Floquet bands.

arXiv comment19 pages, 4 figures, published version

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• Observation of Floquet Raman transition in a driven solid-state spin system
• Interaction Induced Topological Charge Pump
• Line nodes and surface Majorana flat bands in static and kicked p-wave superconducting Harper model
• Non-Hermitian dynamics of slowly-varying Hamiltonians
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• Floquet resonances close to the adiabatic limit and the effect of dissipation
• Floquet band engineering with Bloch oscillations
• From Disordered Quantum Walk to Physics of Off-diagonal Disorder
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• Non-adiabatic extension of the Zak phase and charge pumping in the Rice--Mele model
• Piecewise Adiabatic Following: General Analysis and Exactly Solvable Models
• Symmetry and dynamics universality of supermetal in quantum chaos
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• Revealing many-body effects on interband coherence through adiabatic charge pumping