# Non-adiabatic pumping in an oscillating-piston model

**Authors:** Maya Chuchem, Thomas Dittrich, Doron Cohen  
**arXiv:** [1201.0004](https://arxiv.org/abs/1201.0004)  
**Date:** 2011-12-27  
**Summary page:** https://www.summarizepaper.com/en/paper/1201.0004v2/

## Key points

- The paper explores the concept of a "piston pump" operating on a ring
- A circulating current is induced through an AC driving mechanism
- The system is considered as a generalized Fermi-Ulam model with a finite-height moving wall and non-trivial topology
- The study focuses on understanding the amount of particles transported per cycle in this piston pump system
- The transport process is determined by a layered structure of phase-space, with each layer characterized by a different drift velocity
- The paper highlights the "diabatic" contribution, which refers to non-adiabatic effects due to the time-dependent nature of the AC driving
- Diabatic contributions can lead to a counter-stirring effect, influencing particle transport in the system
- The study provides insights into non-adiabatic pumping dynamics in an oscillating piston model on a ring
- It contributes to our understanding of complex systems with non-trivial topology and has potential applications in physics and engineering.

## Summary

The paper titled "Non-adiabatic pumping in an oscillating-piston model" by Maya Chuchem, Thomas Dittrich, and Doron Cohen explores the concept of a "piston pump" operating on a ring. In this model, a circulating current is induced through the use of an AC driving mechanism. The authors consider this system as a generalized Fermi-Ulam model, which incorporates a finite-height moving wall (piston) and non-trivial topology (ring). The main focus of the study is to understand the amount of particles transported per cycle in this piston pump system. The authors find that the transport process is determined by a layered structure of phase-space, where each layer is characterized by a different drift velocity. This layered structure leads to interesting differences compared to the adiabatic and Boltzmann pictures. One significant contribution highlighted in the paper is the "diabatic" contribution, which refers to non-adiabatic effects that arise due to the time-dependent nature of the AC driving. The authors discuss how these diabatic contributions can lead to a counter-stirring effect, further influencing particle transport in the system. Overall, this study provides valuable insights into the dynamics of non-adiabatic pumping in an oscillating piston model on a ring. It contributes to our understanding of complex systems with non-trivial topology and offers potential applications in various fields such as physics and engineering.