2009/03/24 by Wei Cui, Zairong Xi, Yu Pan
Computer Science · Physics and Astronomy · #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum Mechanics and Applications #quant-ph
paper · pdf · doi:10.1088/1751-8113/42/15/155303
published as J. Phys. A: Math. Theor. 42 (2009) 155303 · 14 pages, 7 figures
openalex publication_date 2009/03/24 · arxiv created 2009/10/30 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We analyze the dynamics of the entanglement in two independent non-Markovian channels. In particular, we focus on the entanglement dynamics as a function of the initial states and the channel parameters like the temperature and the ratio r between ω0 the characteristic frequency of the quantum system of interest, and ωc the cut-off frequency of Ohmic reservoir. We give a stationary analysis of the concurrence and find that the dynamic of non-markovian entanglement concurrence Cρ(t) at temperature kBT=0 is different from the kBT>0 case. We find that "entanglement sudden death" (ESD) depends on the initial state when kBT=0, otherwise the concurrence always disappear at finite time when kBT>0, which means that ESD must happen. The main result of this paper is that the non-Markovian entanglement dynamic is fundamentally different from the Markovian one. In the Markovian channel, entanglement decays exponentially and vanishes only asymptotically, but in the non-Markovian channel the concurrence Cρ(t) oscillates, especially in the high temperature case. Then an open-loop controller adjusted by the temperature is proposed to control the entanglement and prolong the ESD time.