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Continuous-variable entanglement dynamics in Lorentzian environment. (English) Zbl 1486.81037

Summary: We address the non-Markovian entanglement dynamics for bimodal continuous variable quantum systems interacting with two independent structured reservoirs. We derive an analytical expression for the entanglement of formation without performing the Markov and the secular approximations. We observe a variety of qualitative features such as entanglement sudden death, dynamical generation, and protection for two types of Lorentzian spectral densities, assuming the two modes initially excited in a twin-beam state. Our quantitative analysis shows that these cases with different reservoir spectrum, the environmental temperature and the initial amount of entanglement differ significantly in these qualitative features.

MSC:

81P40 Quantum coherence, entanglement, quantum correlations
81S22 Open systems, reduced dynamics, master equations, decoherence
81R30 Coherent states
80A10 Classical and relativistic thermodynamics
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