Entanglement dynamics of a three-qubit system with different interatomic distances

Liu, Feng; Zhang, Ying-Jie; Zhang, Lu; Xia, Yun‐Jie

doi:10.1088/1674-1056/24/11/110305

Cited by 8 publications

(3 citation statements)

References 28 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…[7] It should be addressed that other relevant contributions have been made in tripartite entangled systems. [8][9][10][11][12][13][14][15][16][17][18] Rindler coordinates are used to describe the viewpoint of uniformly accelerated observers. There are two different sets of coordinates necessary to map field states in Minkowski space-time to Rindler coordinates, which define two disconnected regions in Rindler space-time.…”

Section: Introductionmentioning

confidence: 99%

Tetrapartite entanglement measures of W-class in noninertial frames*

et al. 2019

View full text Add to dashboard Cite

We present the entanglement measures of a tetrapartite W-Class entangled system in noninertial frame, where the transformation between Minkowski and Rindler coordinates is applied. Two cases are considered. First, when one qubit has uniform acceleration whilst the other three remain stationary. Second, when two qubits have nonuniform accelerations and the others stay inertial. The 1 − 1 tangle, 1 − 3 tangle and whole entanglement measurements (π4 and Π4), are studied and illustrated with graphics through their dependency on the acceleration parameter r d for the first case and rc and r d for the second case. It is found that the Negativities (1 − 1 tangle and 1 − 3 tangle) and π-tangle decrease when the acceleration parameter r d or in the second case rc and r d increase, remaining a nonzero entanglement in the majority of the results. This means that the system will be always entangled except for special cases. It is shown that only the 1−1 tangle for the first case, vanishes at infinite accelerations, but for the second case the 1 − 1 tangle disappears completely when r > 0.472473. It is found an analytical expression for von Neumann information entropy of the system and we notice that it increases with the acceleration parameter.

show abstract

Section: Introductionmentioning

confidence: 99%

Tetrapartite entanglement measures of W-class in noninertial frames*

et al. 2019

View full text Add to dashboard Cite

show abstract

“…In fact, until the present, the quantification and characterization of the exact amount of entanglement between the different constituent parts of a multi-partite entangled quantum system remains a challenging task and has been calculated only for particular model of decoherence and particular quantum states [39]. Nevertheless, many different entanglement measures for multi-partite entangled quantum systems defined as the sum of the bipartite entanglement measures over all the possible bi-partitions of total quantum system have been proposed during the years [40,41] (see also the review papers [42,43] and the references therein) and some interesting results based on this strategy have been obtained [44][45][46][47][48][49][50][51][52][53][54][55]. For instance, it has been found that for multi-qubit systems, the degree of entanglement robustness tends to increases or decreases with the increase of the number of qubits of the system [8,56].…”

Section: Introductionmentioning

confidence: 99%

Dynamics of entanglement and state-space trajectories followed by a system of four-qubit in the presence of random telegraph noise: common environment (CE) versus independent environments (IEs)

Kenfack¹,

Tchoffo²,

Jipdi³

et al. 2018

J. Phys. Commun.

View full text Add to dashboard Cite

The paper investigates the dynamics of entanglement and explores some geometrical characteristics of the trajectories in state space, in four-qubit Greenberger-Horne-Zeilinger (GHZ) -and W-type states, coupled to common and independent classical random telegraph noise (RTN) sources. It is shown from numerical simulations that: (i) the dynamics of entanglement depends drastically not only on the input configuration of the qubits and the presence or absence of memory effects, but also on whether the qubits are coupled to the RTN in a CE or IEs; (ii) a considerable amount of entanglement can be indefinitely trapped when the qubits are embedded in a CE; (iii) the CE configuration preserves better the entanglement initially shared between the qubits than the IEs configuration, however, for W-type states, there is a period of time and/or certain values of the purity for which, the opposite can be found. Thanks to the results obtained in our earlier works on three-qubit models, we are able to conclude that entanglement becomes more robustly protected from decay when the number of qubits of the system increases. Finally, we find that the trajectories in state space of the system quantified by the quantum Jensen Shannon divergence (QJSD) between the time-evolved states of the qubits and some reference states may be curvilinear or chaotic.

show abstract

“…Now, it is known that the functionality of a natural multichromophoric complex depends mainly on the strength and structure of interactions among electronic states and is dramatically affected by the vibrational degrees of freedom associated either to the complex itself or to its environment. [8][9][10][11][12] By interacting with the electronic states, the phonon environment influences electronic excitation dynamics in various ways depending on the vibrational frequency and the coupling strength. [5] Firstly, phonon modes arising from the low-energy protein vibrations and the solvent have a continuous distribution of frequencies that are below or comparable to the thermal energy scale, k B T , and couple to the electronic states weakly comparing with the coupling strength among electronic states.…”

Section: Introductionmentioning

confidence: 99%

Phonon-assisted excitation energy transfer in photosynthetic systems

et al. 2016

View full text Add to dashboard Cite

The phonon-assisted process of energy transfer aiming at exploring the newly emerging frontier between biology and physics is an issue of central interest. This article shows the important role of the intramolecular vibrational modes for excitation energy transfer in the photosynthetic systems. Based on a dimer system consisting of a donor and an acceptor modeled by two two-level systems, in which one of them is coupled to a high-energy vibrational mode, we derive an effective Hamiltonian describing the vibration-assisted coherent energy transfer process in the polaron frame. The effective Hamiltonian reveals in the case that the vibrational mode dynamically matches the energy detuning between the donor and the acceptor, the original detuned energy transfer becomes resonant energy transfer. In addition, the population dynamics and coherence dynamics of the dimer system with and without vibration-assistance are investigated numerically. It is found that, the energy transfer efficiency and the transfer time depend heavily on the interaction strength of the donor and the high-energy vibrational mode, as well as the vibrational frequency. The numerical results also indicate that the initial state and dissipation rate of the vibrational mode have little influence on the dynamics of the dimer system. Results obtained in this article are not only helpful to understand the natural photosynthesis, but also offer an optimal design principle for artificial photosynthesis.

show abstract

Entanglement dynamics of a three-qubit system with different interatomic distances

Cited by 8 publications

References 28 publications

Tetrapartite entanglement measures of W-class in noninertial frames*

Tetrapartite entanglement measures of W-class in noninertial frames*

Dynamics of entanglement and state-space trajectories followed by a system of four-qubit in the presence of random telegraph noise: common environment (CE) versus independent environments (IEs)

Phonon-assisted excitation energy transfer in photosynthetic systems

Contact Info

Product

Resources

About