Geometric phase via adiabatic manipulations of the environment

TL;DR

This paper demonstrates how geometric phases can be generated in quantum systems through adiabatic manipulations of environmental noise, revealing a new way to control quantum phases via environment interactions.

Contribution

It introduces a method to generate geometric phases by adiabatically varying environmental fluctuations, expanding understanding of environment-induced quantum phase control.

Findings

Geometric phases can be induced by noise manipulation.

The phase depends on the geometry of the fluctuation path.

Separation from traditional Berry phase modifications is discussed.

Abstract

We show that geometric phases may be generated in a quantum system subject to noise by adiabatic manipulations of the fluctuating fields, e.g., by variation of the system-environment coupling. For a two-state quantum system we express this phase in terms of the geometry of the path, traversed by the slowly varying direction and amplitude of the fluctuations. We discuss the origin of this phase and possibilities to separate it from the known environment-induced modification of the Berry phase.