Dynamical evolution of the two-qubit system with Ising spin-chain environment

What is it about?

we study the evolution of the two-qubit system with Ising spin-chain environment by choosing the Lindblad equation to describe this process. We expand the Hamiltonian of a two-qubit system with its eigenstates, and give the Lindblad equation for the evolution of the two-qubit system with Ising spin-chain as the environment firstly. Compared with directly calculating the differential equation between elements of density matrix, we choose a method to solve the Lindblad equation with smaller calculation dimension. Finally, by constructing an operator solution with operators, we obtain the dynamics of the two-qubit system with Ising spin-chain environment.

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Why is it important?

At present, there are few or even no examples of using Lindblad equation to study the dynamics of composite systems with quantum spin-chains as (noise) environment. So our research is more meaningful. We choose Ising spin-chain for two reasons. First, Ising spin-chain model, as an important but simple model that can exactly solve, has always attracted much attention. Second, we have previously studied the properties of the Ising spin-chain model in the ground state, and the dynamic process of quantum coherence, entanglement and discord of quantum system coupled with Ising spin-chain by using spin correlation function.

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