Environmentally-induced effects on a bipartite two-level system: geometric phase and entanglement properties

TL;DR

This paper investigates how environmental effects influence the geometric phase and entanglement in a bipartite two-level quantum system, revealing correlations between these quantum properties during nonunitary evolution.

Contribution

It provides a detailed analysis of the geometric phase correction and entanglement measures for a bipartite system under environmental influence, highlighting their interrelation.

Findings

Geometric phase correction depends on initial entanglement

Entanglement entropy and concurrence relate to geometric phase

Environmental effects modify quantum coherence and correlations

Abstract

We calculate the geometric phase of a bipartite two-level system coupled to an external environment. We analyze the reduced density matrix for an arbitrary initial state of the composite system and compute the correction to the unitary geometric phase through a kinematic approach. In all cases considered, we observe a similar structure as a function of the degree of the entanglement of the initial state. Further, we compute the entanglement entropy and concurrence of the bipartite state and analyze if there is any relation among these quantities and the geometric phase acquired during the nonunitary system's evolution. Finally, we discuss the results obtained.