Characterizing the entanglement of symmetric many-particle spin-1/2 systems

By John K. Stockton, J. Geremia, Andrew C. Doherty, Hideo Mabuchi. 2002

179 citations recorded by the source corpus.

Analyzing the properties of entanglement in many-particle spin-1/2 systems is generally difficult because the system's Hilbert space grows exponentially with the number of constituent particles, N. Fortunately, it is still possible to investigate a many-particle entanglement when the state of the system possesses sufficient symmetry. In this paper, we present a practical method for efficiently computing various bipartite entanglement measures for states in the symmetric subspace and perform these calculations for N similar to 10^(3). By considering all possible bipartite splits, we construct a picture of the multiscale entanglement in large symmetric systems. In particular, we characterize dynamically generated spin-squeezed states by comparing them to known reference states (e.g., Greenberger-Horne-Zeilinger and Dicke states), and families of states with near-maximal bipartite entropy. We quantify the trade-off between the degree of entanglement and its robustness to particle loss, emphasizing that substantial entanglement need not be fragile.

Subfields: Artificial Intelligence, Atomic and Molecular Physics, and Optics

View Paper: https://www.semanticscholar.org/paper/752372258b2dc10c56423bfddcf09bb70fd72adf

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In Atomic and Molecular Physics, and Optics

Citations in the corpus

Quantum spin squeezing (2010, background): “bove subsection, we discussed how decoherence aects the production of spin squeezing. Below, we consider the eects of particle loss on the generated spin-squeezed states, which was studied in Refs. [279, 126,153]. For convenience, the system is now assumed to be symmetric under particle exchange. Ba”
Feedback control of quantum state reduction (2004, background): “We refer to [3] and [56] for details on entanglement generation in spin systems.”
Entanglement in many-body systems (2007, methodology): “The relationship between the squeezing of the state and entanglement was highlighted in (Sørensen and Mølmer, 2001) and analyzed in more details in (Stockton et al., 2003) where it was also suggested how to deal with entanglement between arbitrary splits of symmetric Hilbert spaces (like the Dicke…”