Impurity effect on entanglement asymptotic state in one-dimensional Ising system coupled to a dissipative environment

Frontiers in Theoretical and Applied Physics/UAE 2017

Sadiek, G.^1,2

Department of Applied Physics and Astronomy, University of Sharjah, Sharjah

27272, United Arab Emirates^1

Physics Department, Ain Shams University, Cairo

11566, Egypt^2

关键词: Asymptotic state;    Asymptotic steady state;    Bipartite entanglement;    External magnetic field;    Finite temperatures;    Open boundary condition;    Steady-state values;    Thermal excitation;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/869/1/012022/pdf
DOI  :  10.1088/1742-6596/869/1/012022

来源: IOP

【 摘 要 】

We consider a finite one-dimensional Ising spin chain under the influence of a dissipative Lindblad environment obeying the Born-Markovian constrain in presence of an external magnetic field with open boundary conditions. We study the effect of a single impurity, located at the terminal or center of the chain, on the time evolution and asymptotic steady state of the bipartite entanglement in the chain starting from a maximally entangled initial state. We found that the impurity has a significant effect on the bipartite entanglement of its nearest spins and can be used to tune their steady state value but has almost no noticeable impact on the far ones. At finite temperature, the thermal excitations suppress the dynamics of the system and reduce the value of the steady state and may completely wipe it out as the temperature is increased, which eliminates the effect of the impurity in that case.