Loschmidt echo and Poincar\'e recurrences of entanglement
Quantum Physics
2022-05-20 v1 Disordered Systems and Neural Networks
Chaotic Dynamics
Abstract
We study numerically the properties of entanglement of two interacting, or noninteracting, particles evolving in a regime of quantum chaos in the quantum Chirikov standard map. Such pairs can be viewed as interacting, on noninteracting, Einstein-Podolsky-Rosen pairs in a regime of quantum chaos. The analysis is done with such tools as the Loschmidt echo of entanglement and the Poincar\'e recurrences of entanglement in presence of absorption. The obtained results show unusual features of the entropy of entanglement and the spectrum of Schmidt decomposition with their dependence on interactions at different quantum chaos regimes.
Keywords
Cite
@article{arxiv.2201.02600,
title = {Loschmidt echo and Poincar\'e recurrences of entanglement},
author = {Leonardo Ermann and Klaus M. Frahm and Dima L Shepelyansky},
journal= {arXiv preprint arXiv:2201.02600},
year = {2022}
}
Comments
28 pages, 20 figures and 4 pages with 4 figures Supplementary Material