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Dynamics of Quantum Entanglement in Reservoir with Memory Effects

Xiang Hao, Sha Jin-Qiao, Jian Colin Sun +1 more

The non-Markovian dynamics of quantum entanglement is studied by the Shabani—Lidar master equation when one of entangled quantum systems is coupled to a local reservoir with memory effects. The completely positive reduced dynamical map can be constructed in the Kraus representation. Quantum entanglement decays more slowly in the non-Markovian environment. The decoherence time for quantum entanglement can be markedly increased with the change of the memory kernel. It is found out that the entanglement sudden death between quantum systems and entanglement sudden birth between the system and reservoir occur at different instants.The non-Markovian dynamics of quantum entanglement is studied by the Shabani—Lidar master equation when one of entangled quantum systems is coupled to a local reservoir with memory effects. The completely positive reduced dynamical map can be constructed in the Kraus representation. Quantum entanglement decays more slowly in the non-Markovian environment. The decoherence time for quantum entanglement can be markedly increased with the change of the memory kernel. It is found out that the entanglement sudden death between quantum systems and entanglement sudden birth between the system and reservoir occur at different instants.

arXiv:1208.1552Communications in Theoretical PhysicsJan 1, 20123 citations

Entanglement dynamics of multiqubit system in Markovian and non-Markovian reservoirs

Zhong‐Xiao Man, Ying-Jie Zhang, F. Su +1 more

The European Physical Journal DApr 13, 201026 citations

Coherencia y entrelazamiento en dinámica no Markoviana de qubits

Cristian E. Susa, John Henry Reina

Coherence and entanglement in non-Markovian dynamics of qubits

Universitas ScientiarumJun 17, 20130 citations

Non-Markovian thermalization of entangled qubits

I. Glendinning, Matthias Jakob, Michael Noelle

We study the decoherence properties of an entangled bipartite qubit system, represented by two two-level atoms that are individually coupled to non-Markovian reservoirs. This coupling ensures that the dynamical equations of the atoms can be treated independently. The non-Markovian reservoirs are described by a model which leads to an exact non-Markovian master equation of the Nakajima-Zwanzig form [J. Salo, S. M. Barnett, and S. Stenholm, Optics Commun. 259, 772 (2006)]. We consider the evolution of the entanglement of a two-atom state that is initially completely entangled, quantified by its concurrence. Collapses and revivals in the concurrence, induced by the memory effects of the reservoir, govern the dynamics of the entangled quantum system. These collapses and revivals in the concurrence are a strong manifestation of the non-Markovian reservoir.We study the decoherence properties of an entangled bipartite qubit system, represented by two two-level atoms that are individually coupled to non-Markovian reservoirs. This coupling ensures that the dynamical equations of the atoms can be treated independently. The non-Markovian reservoirs are described by a model which leads to an exact non-Markovian master equation of the Nakajima-Zwanzig form [J. Salo, S. M. Barnett, and S. Stenholm, Optics Commun. 259, 772 (2006)]. We consider the evolution of the entanglement of a two-atom state that is initially completely entangled, quantified by its concurrence. Collapses and revivals in the concurrence, induced by the memory effects of the reservoir, govern the dynamics of the entangled quantum system. These collapses and revivals in the concurrence are a strong manifestation of the non-Markovian reservoir.

arXiv:quant-ph/0604030Apr 5, 20060 citations

Tripartite entanglement dynamics in the presence of Markovian or non-Markovian environment

DaeKil Park

arXiv:1601.00273Quantum Information ProcessingMay 3, 201616 citations

Decoherence suppression of a dissipative qubit by the non-Markovian effect

Qing-Jun Tong, Jun-Hong An, Hong-Gang Luo +1 more

We evaluate exactly the non-Markovian effect on the decoherence dynamics of a qubit interacting with a dissipative vacuum reservoir and find that the coherence of the qubit can be partially trapped in the steady state when the memory effect of the reservoir is considered. Our analysis shows that it is the formation of a bound state between the qubit and its reservoir that results in this residual coherence in the steady state under the non-Markovian dynamics. A physical condition for the decoherence suppression is given explicitly. Our results suggest a potential way to decoherence control by modifying the system–reservoir interaction and the spectrum of the reservoir to the non-Markovian regime in the scenario of reservoir engineering.We evaluate exactly the non-Markovian effect on the decoherence dynamics of a qubit interacting with a dissipative vacuum reservoir and find that the coherence of the qubit can be partially trapped in the steady state when the memory effect of the reservoir is considered. Our analysis shows that it is the formation of a bound state between the qubit and its reservoir that results in this residual coherence in the steady state under the non-Markovian dynamics. A physical condition for the decoherence suppression is given explicitly. Our results suggest a potential way to decoherence control by modifying the system–reservoir interaction and the spectrum of the reservoir to the non-Markovian regime in the scenario of reservoir engineering.

arXiv:0907.3538Journal of Physics B Atomic Molecular and Optical PhysicsJul 7, 201028 citations

Dynamics of Quantum Entanglement in Reservoir with Memory Effects

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Dynamics of Quantum Entanglement in Reservoir with Memory Effects

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