Entangled identical particles and noise

TL;DR

This paper reformulates entanglement for identical Bosons using algebraic mode descriptions, demonstrating negativity as an exhaustive entanglement witness and analyzing noise effects on quantum metrology.

Contribution

It introduces an algebraic framework for entanglement in Bosonic systems and establishes negativity as a complete entanglement criterion for fixed particle numbers.

Findings

Negativity fully characterizes bipartite entanglement in Bosonic systems.

Dephasing noise impacts the utility of Bosonic systems in quantum metrology.

Mode-based description is essential for understanding entanglement in identical particles.

Abstract

For systems of identical Bosons, it is necessary to reformulate the notions of separability and entanglement in algebraic terms shifting the emphasis from the particle aspect of first quantization to the mode description typical of second quantization. Within this new framework, we show that, unlike for systems consisting of distinguishable qubits, negativity is an exhaustive bipartite entanglement witness for systems with fixed number of Bosons; further, we investigate the impact of dephasing noise in relation to the use of such many-body Bosonic systems in metrological applications.