Evolution of entanglement under an Ising-like Hamiltonian with particle losses
Quantum Physics
2017-12-20 v1
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.
Keywords
Cite
@article{arxiv.1709.03291,
title = {Evolution of entanglement under an Ising-like Hamiltonian with particle losses},
author = {Konrad Szymański and Krzysztof Pawłowski},
journal= {arXiv preprint arXiv:1709.03291},
year = {2017}
}
Comments
12 pages, 5 Figures