### Abstract

Using the single-mode approximation, we first calculate entanglement measures such as negativity (1–3 and 1–1 tangles) and von Neumann entropy for a tetrapartite W-Class system in noninertial frame and then analyze the whole entanglement measures, the residual π_{4} and geometric Π_{4} average of tangles. Notice that the difference between π_{4} and Π_{4} is very small or disappears with the increasing accelerated observers. The entanglement properties are compared among the different cases from one accelerated observer to four accelerated observers. The results show that there still exists entanglement for the complete system even when acceleration r tends to infinity. The degree of entanglement is disappeared for the 1–1 tangle case when the acceleration r > 0.472473. We reexamine the Unruh effect in noninertial frames. It is shown that the entanglement system in which only one qubit is accelerated is more robust than those entangled systems in which two or three or four qubits are accelerated. It is also found that the von Neumann entropy S of the total system always increases with the increasing accelerated observers, but the S_{κξ} and S_{κζδ} with two and three involved noninertial qubits first increases and then decreases with the acceleration parameter r, but they are equal to constants 1 and 0.811278 respectively for zero involved noninertial qubit.

Original language | English |
---|---|

Article number | 11602 |

Journal | Frontiers of Physics |

Volume | 15 |

Issue number | 1 |

DOIs | |

State | Published - 1 Feb 2020 |

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### Keywords

- Dirac field
- entanglement
- noninertial frames
- tetrapartite
- W-Class state

### Cite this

*Frontiers of Physics*,

*15*(1), [11602]. https://doi.org/10.1007/s11467-019-0940-1

}

*Frontiers of Physics*, vol. 15, no. 1, 11602. https://doi.org/10.1007/s11467-019-0940-1

**Tetrapartite entanglement features of W-Class state in uniform acceleration.** / Dong, Qian; Torres-Arenas, Ariadna J.; Sun, Guo Hua; Dong, Shi Hai.

Research output: Contribution to journal › Article

TY - JOUR

T1 - Tetrapartite entanglement features of W-Class state in uniform acceleration

AU - Dong, Qian

AU - Torres-Arenas, Ariadna J.

AU - Sun, Guo Hua

AU - Dong, Shi Hai

PY - 2020/2/1

Y1 - 2020/2/1

N2 - Using the single-mode approximation, we first calculate entanglement measures such as negativity (1–3 and 1–1 tangles) and von Neumann entropy for a tetrapartite W-Class system in noninertial frame and then analyze the whole entanglement measures, the residual π4 and geometric Π4 average of tangles. Notice that the difference between π4 and Π4 is very small or disappears with the increasing accelerated observers. The entanglement properties are compared among the different cases from one accelerated observer to four accelerated observers. The results show that there still exists entanglement for the complete system even when acceleration r tends to infinity. The degree of entanglement is disappeared for the 1–1 tangle case when the acceleration r > 0.472473. We reexamine the Unruh effect in noninertial frames. It is shown that the entanglement system in which only one qubit is accelerated is more robust than those entangled systems in which two or three or four qubits are accelerated. It is also found that the von Neumann entropy S of the total system always increases with the increasing accelerated observers, but the Sκξ and Sκζδ with two and three involved noninertial qubits first increases and then decreases with the acceleration parameter r, but they are equal to constants 1 and 0.811278 respectively for zero involved noninertial qubit.

AB - Using the single-mode approximation, we first calculate entanglement measures such as negativity (1–3 and 1–1 tangles) and von Neumann entropy for a tetrapartite W-Class system in noninertial frame and then analyze the whole entanglement measures, the residual π4 and geometric Π4 average of tangles. Notice that the difference between π4 and Π4 is very small or disappears with the increasing accelerated observers. The entanglement properties are compared among the different cases from one accelerated observer to four accelerated observers. The results show that there still exists entanglement for the complete system even when acceleration r tends to infinity. The degree of entanglement is disappeared for the 1–1 tangle case when the acceleration r > 0.472473. We reexamine the Unruh effect in noninertial frames. It is shown that the entanglement system in which only one qubit is accelerated is more robust than those entangled systems in which two or three or four qubits are accelerated. It is also found that the von Neumann entropy S of the total system always increases with the increasing accelerated observers, but the Sκξ and Sκζδ with two and three involved noninertial qubits first increases and then decreases with the acceleration parameter r, but they are equal to constants 1 and 0.811278 respectively for zero involved noninertial qubit.

KW - Dirac field

KW - entanglement

KW - noninertial frames

KW - tetrapartite

KW - W-Class state

UR - http://www.scopus.com/inward/record.url?scp=85075190834&partnerID=8YFLogxK

U2 - 10.1007/s11467-019-0940-1

DO - 10.1007/s11467-019-0940-1

M3 - Artículo

AN - SCOPUS:85075190834

VL - 15

JO - Frontiers of Physics

JF - Frontiers of Physics

SN - 2095-0462

IS - 1

M1 - 11602

ER -