English

Virtual excitations and entanglement dynamics and polygamy in three ultra-strongly coupled systems

Quantum Physics 2023-03-22 v2

Abstract

The Milburn dynamics of three nonresonant ultra-strongly coupled oscillators are resolved by using symplectic geometry. We look at the Milburn dynamics of virtual excitations and how they affect pairwise entanglement. It is found that the dynamics of excitations and entanglement experience similar profiles against time, physical parameters, and decoherence rate. Furthermore, we show that the extinction of excitations entails separability, which demonstrates the hierarchy between entanglement and virtual excitations. Additionally, we analyze the effects of physical parameters on the redistribution of virtual excitations among the three bi-partitions. As a result, we show the violation of the monogamy of excitations as in quantum discord. This implies that excitations can be considered as signatures of quantum correlations beyond entanglement. Besides, we emphasize that our treatment can be used to model coupled quantum circuits in real situations (with decoherence).

Keywords

Cite

@article{arxiv.2209.14814,
  title  = {Virtual excitations and entanglement dynamics and polygamy in three ultra-strongly coupled systems},
  author = {Radouan Hab-arrih and Ahmed Jellal},
  journal= {arXiv preprint arXiv:2209.14814},
  year   = {2023}
}

Comments

13 pages, 7 figures. Clarifications and references added. Version to appear in Ann. Phys. (Berlin)