Quantifying two-mode entanglement of bosonic Gaussian states from their full counting statistics
arXiv:2503.09555 · doi:10.1103/1y1p-zqhh
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.
4+4 pages, accepted version
References in corpus (23)
- Symplectic invariants, entropic measures and correlations of Gaussian states
- Probing multimode squeezing with correlation functions
- An acoustic analog to the dynamical Casimir effect in a Bose-Einstein condensate
- Entanglement-Enhanced Matter-Wave Interferometry in a High-Finesse Cavity
- Collective emission of matter-wave jets from driven Bose-Einstein condensates
- Ideal n-body correlations with massive particles
- Detection of continuous variable entanglement without coherent local oscillators
- Assessing degrees of entanglement of phonon states in atomic Bose gases through the measurement of commuting observables
- Stimulating the Quantum Aspects of an Optical Analog White-Black Hole
- Comparing quantumness criteria
- Symplectic circuits, entanglement, and stimulated Hawking radiation in analog gravity
- Full counting statistics of interacting lattice gases after an expansion: The role of the condensate depletion in the many-body coherence
- Entanglement from superradiance and rotating quantum fluids of light
- Spin- and Momentum-Correlated Atom Pairs Mediated by Photon Exchange and Seeded by Vacuum Fluctuations
- Toward the Observation of Entangled Pairs in BEC analogue Expanding Universes
- Thermal counting statistics in an atomic two-mode squeezed vacuum state
- Suppression of Bogoliubov momentum pairing and emergence of non-Gaussian correlations in ultracold interacting Bose gases
- Experimental particle production in time-dependent spacetimes: a one-dimensional scattering problem
- Experimental retrieval of photon statistics from click detection
- Multi-mode Gaussian State Analysis with Total Photon Counting
- Quantification of Quantum Correlations in Two-Beam Gaussian States Using Photon-Number Measurements
- Multiphoton Correlations between Quantum Images
- Tomography of a single-atom-resolved detector in the presence of shot-to-shot number fluctuations