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

Konrad Szymański, Krzysztof Pawłowski

Research output: Contribution to journalArticlepeer-review

Abstract

We present an analytical compact solution for the density matrix and all correlation functions of two collective-macroscopic spins evolving via an Ising-like Hamiltonian in the presence of particle losses. The losses introduce nonlocal phase noise which destroys highly entangled states arising in the evolution. On the other hand, the states appearing at relatively short time scales, possessing Einstein-Podolsky-Rosen (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.

Original languageEnglish (US)
Article number062312
JournalPhysical Review A
Volume96
Issue number6
DOIs
StatePublished - Dec 12 2017
Externally publishedYes

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics

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