Environmental Effects on the Geometric Phase

TL;DR

This paper investigates how environmental factors like temperature and squeezing influence the geometric phase of a spin-1/2 nucleus, revealing conditions where squeezing enhances the phase.

Contribution

It provides a detailed analysis of the geometric phase behavior under thermal and squeezed environments, highlighting the role of squeezing in phase enhancement.

Findings

Squeezing can enhance the geometric phase at certain temperature and coupling ranges.

The phase's time dependence and asymptotic value are affected by environmental parameters.

Environmental effects are crucial in quantum phase behavior of spin systems.

Abstract

The behavior of the geometric phase gained by a single spin-1/2 nucleus immersed into a thermal or a squeezed environment is investigated. Both the time dependence of the phase and its value at infinity are examined against several physical parameters. It is observed that for some intermediate ranges of the temperature and the coupling strength, the presence of squeezing enhances the geometric phase.