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arXiv · 1709.03291

Evolution of entanglement under an Ising-like Hamiltonian with particle losses

Konrad Szymański·Krzysztof Pawłowski
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Abstract

We present analytical compact solution for the density matrix and correlation functions of two collective-macroscopic spins evolving via Ising-like Hamiltonian in the presence of particle losses. The losses introduce non-local phase noise which destroys highly entangled states arising in the evolution. On the other hand, the states appearing at relatively short timescales, possessing EPR-like entanglement will survive. Applying our solutions to the recently proposed scheme to entangle two Bose-Einstein condensates, we estimate the optimal number of atoms for EPR correlations.

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Konrad Szymański, Krzysztof Pawłowski. 2017-09-11. Evolution of entanglement under an Ising-like Hamiltonian with particle losses. https://doi.org/10.1103/physreva.96.062312

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