Quantifying two-mode entanglement of bosonic Gaussian states from their full counting statistics

2025/03/12 by Gondret, Victor, Lamirault, Clothilde, Dias, Rui +4 · 4 citations
#FOS: Physical sciences #Quantum Gases (cond-mat.quant-gas) #Quantum Physics (quant-ph)

paper · doi:10.48550/arxiv.2503.09555

Abstract

We study the entanglement properties of two-mode bosonic Gaussian states based on their multi-mode counting statistics. We exploit the idea that measuring high-order correlations of particle numbers can reveal entanglement without making any assumptions about the coherence of the fields. We show that the two- and four-body number correlations are sufficient to fully characterize the entanglement of two-mode bosonic Gaussian states for which each mode exhibits a thermal distribution. In addition, we derive an entanglement witness based on two-body correlations alone. Our findings are of great importance because it becomes possible to reveal entanglement in a series of recent experiments.

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• Frequency shifts heralding ground state squeezing and entanglement of two coupled harmonic oscillators
• Connected correlations in cold atom experiments
• Parametric pair production of collective excitations in a Bose-Einstein condensate
• Observation of entanglement in a cold atom analog of cosmological preheating

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