Witnessing entanglement via the geometric phase in a impurity-doped Bose-Einstein condensate

TL;DR

This paper introduces a theoretical method to detect both micro-micro and micro-macro entanglement in an impurity-doped Bose-Einstein condensate using the geometric phase of impurity qubits, offering a new way to observe quantum entanglement.

Contribution

It presents a novel scheme to witness entanglement via geometric phase in a micro-macro quantum system involving impurity-doped BECs, expanding entanglement detection techniques.

Findings

Geometric phase can witness micro-micro entanglement.

Geometric phase can also witness micro-macro entanglement.

The scheme provides a new approach to observe entanglement in BEC systems.

Abstract

We propose a theoretical scheme to witness quantum entanglement via the geometric phase in an impurity-doped Bose-Einstein condensate (BEC), which is a micro-macro quantum system consisting of two Rydberg impurity qubits and the BEC. We calculate the geometric phase of the impurity qubits in the presence of the initial micro-micro and micro-macro entanglement, respectively. It is demonstrated that the geometric phase of the impurity qubits can witness not only inter-qubit micro-micro entanglement, but also qubit-BEC micro-macro entanglement. Our work provide a new insight to witness micro-micro and micro-macro entanglement in a impurity-doped BEC.