Loschmidt echo and Poincaré recurrences of entanglement
arXiv:2201.02600 · doi:10.1088/1751-8121/ac6af9
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 Poincaré 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.
28 pages, 20 figures and 4 pages with 4 figures Supplementary Material
References in corpus (7)
- Dynamics of Loschmidt echoes and fidelity decay
- Loschmidt Echo
- Decoherence, Entanglement and Irreversibility in Quantum Dynamical Systems with Few Degrees of Freedom
- Quantum chaos and random matrix theoryfor fidelity decay in quantum computationswith static imperfections
- Fractal Weyl law for quantum fractal eigenstates
- Loschmidt cooling by time reversal of atomic matter waves
- Linear and logarithmic entanglement production in an interacting chaotic system