Optimal entanglement witnesses in a split spin-squeezed Bose-Einstein condensate
arXiv:1702.08668 · doi:10.1103/PhysRevA.95.052347
Abstract
How to detect quantum correlations in bi-partite scenarios using a split many-body system and collective measurements on each party? We address this question by deriving entanglement witnesses using either only first or first and second order moments of local collective spin components. In both cases, we derive optimal witnesses for spatially split spin squeezed states in the presence of local white noise. We then compare the two optimal witnesses with respect to their resistance to various noise sources operating either at the preparation or at the detection level. We finally evaluate the statistics required to estimate the value of these witnesses when measuring a split spin-squeezed Bose-Einstein condensate. Our results can be seen as a step towards Bell tests with many-body systems.
8 pages, 6 figures
References in corpus (14)
- Many-Body Physics with Ultracold Gases
- Nonlinear atom interferometer surpasses classical precision limit
- Matter-wave interferometry in a double well on an atom chip
- Bell Correlations in a Bose-Einstein Condensate
- Strong saturation absorption imaging of dense clouds of ultracold atoms
- EPR entanglement strategies in two-well BEC
- Entangling capacities of noisy two-qubit Hamiltonians
- Einstein-Podolsky-Rosen Correlations of Ultracold Atomic Gases
- Proposal for a motional-state Bell inequality test with ultracold atoms
- Bell test for the free motion of material particles
- Detection of multipartite entanglement with two-body correlations
- Multi-Partite Entanglement Inequalities via Spin Vector Geometry
- Interference of Bose-Einstein condensates: quantum non-local effects
- Nonlocality with ultracold atoms in a lattice
Cited by in corpus (7)
- Split spin-squeezed Bose-Einstein Condensates
- Remote state preparation of two-component Bose-Einstein condensates
- Relating spin squeezing to multipartite entanglement criteria for particles and modes
- Number-phase uncertainty relations and bipartite entanglement detection in spin ensembles
- Bipartite nonlocality with a many-body system
- Decoherence effects in quantum nondemolition measurement induced entanglement between Bose-Einstein condensates
- Stroboscopic quantum nondemolition measurements for enhanced entanglement generation between atomic ensembles