Loschmidt echo and Poincar\'e recurrences of entanglement

• URL: http://arxiv.org/abs/2201.02600v1
• Date: Fri, 7 Jan 2022 18:51:31 GMT
• Title: Loschmidt echo and Poincar\'e recurrences of entanglement
• Authors: Leonardo Ermann, Klaus M. Frahm and Dima L Shepelyansky
• Abstract summary: We study the properties of entanglement of two interacting, or noninteracting, particles evolving in a regime of quantum chaos in the quantum Chirikov standard map. 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.
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• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• 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.

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