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The Materials Research Society series

Two-State Dynamics

Ray LaPierre

Published Jan 1, 2021• 0 citations
Publisher
DOI
10.1007/978-3-030-69318-3_16

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Two-State Dynamics

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Journal of Chongqing University of Arts and Sciences•Jan 1, 2011•0 citations
The position-dependent entanglement dynamics of two qubits embedded in a leakage cavity is investigated. The two qubits are initialled in Bell states and the cavity mode is taken as a standing wave. It is found that (i) the dynamics of the Bell states can be divided into two groups according to one-photon entangled states and two-photon entangled states; (ii) the entanglement life of the one-photon entangled states can be kept as long as possible if we put the two qubits at certain positions; (iii) at larger detuning, the entanglement dynamics manifests more robustly.
Here is analyzed the dynamics of two-qubit entanglement, when the two qubits are initially in a mixed extended Werner-like state and each of them is in a zero temperature non-Markovian environment. The dependence of entanglement dynamics on the purity and degree of entanglement of the initial states and on the amount of non-Markovianity is also given. This extends the previous work about non-Markovian effects on the two-qubit entanglement dynamics for initial Bell-like states [Bellomo et al., Phys. Rev. Lett. 99, 160502 (2007)]. The effect on the two-qubit entanglement dynamics of nonzero temperature in Markovian environments is finally studied.
With a large-scale Monte Carlo simulation,the two-dimensional eight-state Potts model of square lattice is investigated.Starting from an ordered initial state,the dynamic evolution of the Binder cumulant is studied.Based on dynamic scaling ansatz,the dynamic exponent z is determined with relatively high accuracy.It is clear that z depends on the disorder amplitude and is much bigger than that of the two-dimensional Ising model.The two-dimensional random-bond Potts model is not in the same dynamic universality class as the two-dimensional Ising model.