Topological phases in adiabatic and nonadiabatic driven systems

TL;DR

This paper explores the topological and geometric properties of non-equilibrium quantum systems driven by ac fields, revealing how parameter tuning can induce topological phase transitions even outside adiabatic conditions.

Contribution

It extends classical topological models by incorporating spatial degrees of freedom and analyzes topological phase transitions in non-adiabatic driven quantum systems.

Findings

Calculation of Berry and Aharonov-Anandan phases shows parameter influence.

Topological phase transitions can be induced by tuning driving parameters.

Non-adiabatic regimes exhibit topological properties similar to adiabatic cases.

Abstract

In this work we study the geometrical and topological properties of non-equilibrium quantum systems driven by ac fields. We consider two tunnel coupled spin qubits driven by either spatially homogeneous or inhomogeneous ac fields. Our analysis is an extension of the classical model introduced by Berry with he addition of the spatial degree of freedom. We calculate the Berry and Aharonov-Anandan geometric phases, and demonstrate the influence of the different field parameters in the geometric properties. We also discuss the topological properties associated with the different driving regimes, and show that by tuning the different parameters one can induce topological phase transitions, even in the non-adiabatic regime.