Disentanglement from spin environment: Role of multisite interaction

Cheng, Wei‐Wen; Liu, J.-M.

doi:10.1103/physreva.81.044304

Cited by 30 publications

(14 citation statements)

References 30 publications

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“…This expression is similar to that given in [17]. We can follow the mathematical procedure and derive the approximate expression for N AB−C (t) ≈ 0.5 exp(−s 2 L t/2)| cos( t)| (L−1)/2 , where is the mean value of k and approximately equal to 4g + γ 2 /g; s 2 L = sin 2 (2 λ 1 k )δ 2 k , where the quantity δ k describes the deviation of k from its mean values and is approximately equal to − γ 2 g cos 4πk L + 4α sin 4πk L .…”

Section: The Case With An Initial Ghz Statesupporting

confidence: 70%

“…In Ref. [17], Cheng et al analyzed the disentanglement of a bipartite system in which the two parties coupled to the spin environment with multisite interaction. However, the effect of decoherence induced by the spin environment with multisite interaction on multipartite entanglement has not been investigated so far, and multipartite dynamics is an interesting problem.…”

Section: Introductionmentioning

confidence: 99%

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Disentanglement of Three-qubit States Coupled to an XY Spin Chain with Multisite Interaction

et al. 2011

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The entanglement dynamics of three-qubit states coupled to a general XY spinchain with a three-site interaction environment is investigated. By using negativity as entanglement measure, we find that the entanglement evolution depends on not only the systemenvironment couplings but also the strength of three-site interaction. In the strong-coupling region, the three-site interaction can remarkably enhance the decay of the entanglement of three-qubit states. However, in the weak-coupling region, the process of disentanglement depends on the strength of the three-site interaction.

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Section: The Case With An Initial Ghz Statesupporting

confidence: 70%

Section: Introductionmentioning

confidence: 99%

Disentanglement of Three-qubit States Coupled to an XY Spin Chain with Multisite Interaction

et al. 2011

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“…Although the system we concerned possesses the time-reversal symmetry, the investigation of the irreversible dynamics in the Hamiltonian with time-reversal symmetry is still of great importance in both the experimental design and theoretical approach. One of the important paradigms is the study of the decoherence in the central-spin model, which has received a lot of attentions in the context of quantum information during the past decade 46 47 48 49 50 51 . In such a time-reversal symmetric model, the quantum phase transition of the surrounding system can suppress the coherence time of the central spin.…”

Section: Resultsmentioning

confidence: 99%

Quench field sensitivity of two-particle correlation in a Hubbard model

Zhang

Sun

Song

2016

Sci Rep

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Short-range interaction can give rise to particle pairing with a short-range correlation, which may be destroyed in the presence of an external field. We study the transition between correlated and uncorrelated particle states in the framework of one- dimensional Hubbard model driven by a field. We show that the long time-scale transfer rate from an initial correlated state to final uncorrelated particle states is sensitive to the quench field strength and exhibits a periodic behavior. This process involves an irreversible energy transfer from the field to particles, leading to a quantum electrothermal effect.

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“…On the other hand, one can identify the quantum phase transition through the quantum-classical transition of the system described by a reduction from a pure state to a mixture 14 . This stimulates a series of works regarding the disentanglement of central spins subjected to critical surrounding environment 10 15 16 17 18 19 20 21 . It was shown that at the critical point where the environment occurs QPT, the decoherence is enhanced, and the disentanglement process is accelerated by the quantum criticality.…”

mentioning

confidence: 99%

Quantum correlation dynamics subjected to critical spin environment with short-range anisotropic interaction

Guo

Zhang

2016

Sci Rep

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Short-range interaction among the spins can not only results in the rich phase diagram but also brings about fascinating phenomenon both in the contexts of quantum computing and information. In this paper, we investigate the quantum correlation of the system coupled to a surrounding environment with short-range anisotropic interaction. It is shown that the decay of quantum correlation of the central spins measured by pairwise entanglement and quantum discord can serve as a signature of quantum phase transition. In addition, we study the decoherence factor of the system when the environment is in the vicinity of the phase transition point. In the strong coupling regime, the decay of the decoherence factor exhibits Gaussian envelop in the time domain. However, in weak coupling limit, the quantum correlation of the system is robust against the disturbance of the magnetic field through optimal control of the anisotropic short-range interaction strength. Based on this, the effects of the short-range anisotropic interaction on the sudden transition from classical to quantum decoherence are also presented.The quantum aspects of correlations in composite systems are a key issue in quantum information theory 1 . Quantum entanglement, which determines the given state is separable or not, has been regarded as a valuable resource for quantum information processing 2 . Even many people take it granted that quantum entanglement is quantum correlation. However, some separate states also contains quantum correlation and there exist quantum tasks that display the quantum advantage without entanglement 3 , so entanglement is not the only type of quantum correlation. Quantum discord (QD) defined as the difference between quantum mutual information and classical correlation 4 , is supposed to characterize all of nonclassical correlations including entanglement. Such states with non-zero QD but not entanglement may be responsible for the efficiency of a quantum computer 5,6 . Consequently, QD is believed a new resource for quantum computation.Meanwhile, study of quantum phase transition (QPT) 7 purely driven by quantum fluctuations can help us understand the physical properties of various matters from the perspective of quantum mechanics. During the past decade, the central spin model served as a paradimatic model characterizing the interaction between the quantum system and surrounding environment has received a lot of attentions [8][9][10] . On the one hand, it can provide a platform to investigate the underlying mechanism of the decoherence 11,12 due to the exact solvability of the model, which can pave the way to develop new methods that enhance the coherence time in the context of quantum computation and information 1,13 . On the other hand, one can identify the quantum phase transition through the quantum-classical transition of the system described by a reduction from a pure state to a mixture 14 . This stimulates a series of works regarding the disentanglement of central spins subjected to critical surrounding environment 10...

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Disentanglement from spin environment: Role of multisite interaction

Cited by 30 publications

References 30 publications

Disentanglement of Three-qubit States Coupled to an XY Spin Chain with Multisite Interaction

Disentanglement of Three-qubit States Coupled to an XY Spin Chain with Multisite Interaction

Quench field sensitivity of two-particle correlation in a Hubbard model

Quantum correlation dynamics subjected to critical spin environment with short-range anisotropic interaction

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