Quantum Charge Pumps with Topological Phases in Creutz Ladder

Abstract

Quantum charge pumping phenomenon connects band topology through the dynamics of a one-dimensional quantum system. In terms of a microscopic model, the Su-Schrieffer-Heeger/Rice-Mele quantum pump continues to serve as a fruitful starting point for many considerations of topological physics. Here we present a generalized Creutz scheme as a distinct two-band quantum pump model. By noting that it undergoes two kinds of topological band transitions accompanying with a Zak-phase-difference of $\pi$ and $2\pi$, respectively, various charge pumping schemes are studied by applying an elaborate Peierl's phase substitution. Translating into real space, the transportation of quantized charges is a result of cooperative quantum interference effect. In particular, an all-flux quantum pump emerges which operates with time-varying fluxes only and transports two charge units. This puts cold atoms with artificial gauge fields as an unique system where this kind of phenomena can be realized.

4.3 pages + supp. mat., 5 figures

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• Non-Hermitian Floquet phases with even-integer topological invariants in a periodically quenched two-leg ladder
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• Topological properties of non-Hermitian Creutz Ladders
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• Large-$N$ Chern insulators: lattice field theory and quantum simulation approaches to correlation effects in the quantum anomalous Hall effect
• Exact projector Hamiltonian, local integrals of motion, and many-body localization with topological order
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• Fermion production at the boundary of an expanding universe: a cold-atom gravitational analogue
• Topological chiral currents in the Gross-Neveu model extension
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• Control of Spin-Exchange Interaction between Alkali-Earth Atoms via Confinement-Induced Resonances in a Quasi 1+0 Dimensional System
• Non-adiabatic extension of the Zak phase and charge pumping in the Rice--Mele model
• Flat-band full localization and symmetry-protected topological phase on bilayer lattice systems
• Exploring Thouless Pumping in the Generalized Creutz Model: A Graphical Method and Modulation Schemes
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