Volume 86, Number 6, June 2009
|Number of page(s)||6|
|Published online||10 July 2009|
Non-Markovian dynamical effects and time evolution of the entanglement entropy of a dissipative two-state system
Department of Physics, Shanghai Jiao Tong University - Shanghai 200240, China
Corresponding author: firstname.lastname@example.org
Accepted: 9 June 2009
We investigate the dynamical information exchange between a two-state system and its environment which is measured by the von Neumann entropy. It is found that in the underdamping regime, the entropy dynamics exhibits an extremely non-Markovian oscillation-hump feature, in which oscillations manifest quantum coherence and a hump of envelop demonstrates temporal memory of bath. It indicates that the process of entropy exchange is bidirectional. When the coupling strength increases up to a certain threshold, the hump along with ripple disappears, which is indicative of the coherent-incoherent dynamical crossover. The long-time limit of entropy evolution reaches the ground-state value which agrees with that of the numerical renormalization group.
PACS: 03.65.Yz – Decoherence; open systems; quantum statistical methods / 05.30.-d – Quantum statistical mechanics / 89.70.Cf – Entropy and other measures of information
© EPLA, 2009
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