Non-Markovian entanglement dynamics of noisy continuous-variable quantum channels

By J. An, Wei-Min Zhang. 2007

137 citations recorded by the source corpus.

We investigate the entanglement dynamics of continuous-variable quantum channels in terms of an entangled squeezed state of two cavity fields in a general non-Markovian environment. Using the Feynman-Vernon influence functional theory in the coherent-state representation, we derive an exact master equation with time-dependent coefficients reflecting the non-Markovian influence of the environment. The influence of environments with different spectral densities, e.g., Ohmic, sub-Ohmic, and super-Ohmic, is numerically studied. The non-Markovian process shows its remarkable influence on the entanglement dynamics due to the sensitive time dependence of the dissipation and noise functions within the typical time scale of the environment. The Ohmic environment shows a weak dissipation-noise effect on the entanglement dynamics, while the sub-Ohmic and super-Ohmic environments induce much more severe noise. In particular, the memory of the system interacting with the environment contributes a strong decoherence effect to the entanglement dynamics in the super-Ohmic case.

Subfields: Artificial Intelligence, Atomic and Molecular Physics, and Optics

View Paper: https://www.semanticscholar.org/paper/5ace997042f541dd4e8863808425c8b406ec9206

Citations in the corpus

• Dynamics of non-Markovian open quantum systems (2015, unknown): “Following a more recent derivation by An et al. (2009); An and Zhang (2007); Jin et al. (2010); and Tu and Zhang (2008b) this equation reads as dρs(t) dt = −i∆(t)[a†a, ρs(t)] + γ1(t)(2aρs(t)a† − a†aρs(t)− ρs(t)a†a) + γ2(t)(±aρs(t)a† + a†ρs(t)a − a†aρs(t)∓ ρs(t)aa†), where ∆(t) and γ1(t) are given…”