# Quantum Charge Pumps with Topological Phases in Creutz Ladder

## TL;DR

This paper introduces a generalized Creutz quantum pump model exhibiting distinct topological phase transitions, demonstrating quantized charge transport driven by quantum interference and flux variations, with potential realization in cold atom systems.

## Contribution

It presents a new two-band quantum pump model with unique topological transitions and flux-driven charge pumping mechanisms, expanding the understanding of topological quantum transport.

## Key findings

- Identifies two types of topological band transitions with different Zak-phase differences.
- Demonstrates quantized charge transport due to quantum interference effects.
- Proposes an all-flux quantum pump transporting two charge units, realizable in cold atom systems.

## 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.