Loschmidt echo and Poincar\'e recurrences of entanglement

TL;DR

This paper investigates how entanglement evolves in quantum chaotic systems using Loschmidt echo and Poincaré recurrences, revealing unique entropy and spectrum behaviors influenced by interactions and chaos regimes.

Contribution

It introduces numerical analysis of entanglement dynamics in quantum chaos, highlighting the roles of Loschmidt echo and Poincaré recurrences in such systems.

Findings

Unusual entropy behavior depending on interaction strength.

Distinct spectrum features in different chaos regimes.

Impact of absorption on entanglement recurrences.

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.