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Abstract: The reduced dynamics of a single or two qubits coupled to an interactingquantum spin bath modeled by a XXZ spin chain is investigated. By using themethod of time-dependent density matrix renormalization group t-DMRG, we gobeyond the uniform coupling central spin model and evaluate nonperturbativelythe induced decoherence and entanglement. It is shown that both decoherence andentanglement strongly depend on the phase of the underlying spin bath. We showthat in general, spin baths can induce entanglement for an initiallydisentangled pair of qubits. Furthermore, when the spin bath is in theferromagnetic phase, because qubits directly couple to the order parameter, thereduced dynamics shows oscillatory type behavior. On the other hand, only forparamagnetic and antiferromagnetic phases, initially entangled states sufferfrom the entanglement sudden death. By calculating concurrence, the finitedisentanglement time is mapped out for all phases in the phase diagram of thespin bath.



Autor: Cheng-Yan Lai, Jo-Tzu Hung, Chung-Yu Mou, Pochung Chen

Fuente: https://arxiv.org/







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