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Physical Review A

Disentanglement from spin environment: Role of multisite interaction

W. W. Cheng, Jun‐Ming Liu

Published Apr 28, 2010• 30 citations
Publisher

Abstract

The dynamical entanglement of two spin-qubits coupled to an $\mathit{XY}$ spin-chain with a three-site interaction environment is studied. The dynamical process of disentanglement is numerically and analytically investigated. In the strong-coupling region, the three-site interaction can dramatically accelerate the decay of the entanglement between the two spin-qubits. However, in the weak-coupling region, the role of this interaction in the process of disentanglement depends on the strength of the three-site interaction; for example, in some specific intervals, this interaction can remarkably delay the process of disentanglement.

DOI
10.1103/physreva.81.044304

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The dynamical entanglement of two spin-qubits coupled to an XY\mathit{XY}XY spin-chain with a three-site interaction environment is studied. The dynamical process of disentanglement is numerically and analytically investigated. In the strong-coupling region, the three-site interaction can dramatically accelerate the decay of the entanglement between the two spin-qubits. However, in the weak-coupling region, the role of this interaction in the process of disentanglement depends on the strength of the three-site interaction; for example, in some specific intervals, this interaction can remarkably delay the process of disentanglement.
We study the disentanglement evolution of two spin qubits which interact with a general XYXYXY spin-chain environment. The dynamical process of the disentanglement is numerically and analytically investigated in the vicinity of a quantum phase transition (QPT) of the spin chain in both weak and strong coupling cases. We find that the disentanglement of the two spin qubits may be greatly enhanced by the quantum critical behavior of the environmental spin chain. We give a detailed analysis to facilitate the understanding of the QPT-enhanced decaying behavior of the coherence factor. Furthermore, the scaling behavior in the disentanglement dynamics is also revealed and analyzed.
We study the time evolution of decoherence factor of two spin qubits and qutrits coupled to an XYXYXY spin chain with Dzyaloshinsky-Moriya (DM) interaction environment. The dynamical process of the decoherence is numerically and analytically investigated. We find that the DM interaction can enhance slightly the decay of the decoherence factor in the weak-coupling region. However, in the strong-coupling region, the decoherence factor is very sensitive to the DM interaction.
We investigate the time evolution of quantum discord and entanglement for two-qubit coupled to a spin chain with three-site interaction in the weak-coupling region. If the quantum system evolves from a Bell state, quantum correlations decay to zero in a very short time at the critical point of the environment. We found there exist some special interval of the three-site coupling strength in which the decay of quantum discord and entanglement can be delayed. When the qubits are initially prepared in a Bell diagonal state, the decay of entanglement is also delayed in the special interval, but the decay of quantum discord is enhanced. Besides, the sudden transition between classical and quantum decoherence is observed. we found the transition time can be lengthened at the special range of three-site interaction and shorten by degree of anisotropy.
We investigate the entanglement dynamics of a two-qubit system which interacts with a Heisenberg XYXYXY spin chain constrained to carry an energy current. We show an explicit connection between the decoherence factor and entanglement, and numerically and analytically study the dynamical process of entanglement in both weak- and strong-coupling cases for two initial states, the general pure state and the mixed Werner state. We provide results that the entanglement evolution depends not only on the energy current, the anisotropy parameter and the system-environment couplings but also on the size of degrees of freedom of environment. In particular, our results imply that entanglement will be strongly suppressed by the introduction of energy current on the environmental spin chain in the weak-coupling region while it is not sensitive to the energy current in the strong-coupling region. We also observe the sudden death of entanglement in the system and show how the energy current affects the phenomenon.
We investigate the dynamics of quantum discord for a two-qubit system coupled to a spin chain with three-site interaction in the weak-coupling region. For the case of the initial two-qubit pure state, the decay of quantum discord can be delayed in a special interval of the three-site coupling strength. In the absence of the transverse field, with the increase of three-site interaction, quantum discord tends to be stabler. For the case of the initial mixed state, the increase of quantum discord is delayed in the special interval of three-site interaction. In addition, a sudden transition between classical and quantum decoherence is also observed, with the transition time determined by the three-site interaction and degree of anisotropy.