Geza Tóth - Criteria for detecting entanglement close to Dicke states with many-body correlations

We will review methods for detecting multipartite entanglement in an ensemble of spin-1/2 atoms with collective measurements. We will introduce entanglement criteria based on the measurement of many-body
correlations, such as the parity. Interestingly, such criteria can detect a larger entanglement depth in some practical situations than previous methods. Our criteria require a single-particle resolution in
measuring the particle number. Entanglement detection based on many-body correlations indicate the high quality of the experimentally produced quantum state.