## Abstract

Using the single-mode approximation, we first calculate entanglement measures such as negativity and von Neumann entropy for a tetrapartite GHZ entangled system in nonuniform acceleration frame. We then analyse the whole entanglement measures, the algebraic residual measure π_{4} and geometric average measure Π_{4}. We find that the difference between π_{4} and Π_{4} is very slight or disappears with the increasing accelerated observers. The entanglement properties are compared among the different cases from two accelerated observers and others remaining stationary to all four accelerated observers, which are accelerated in nonuniform acceleration. The results presented here show that there still exists entanglement for the complete system even when acceleration r tends to infinity. The degree of entanglement is always equal to zero for the 1-1 tangle case. We also verify the existence of the Unruh effect even in nonuniform acceleration frame. It is also found that the von Neumann entropy increases with the increasing accelerated observers. It is interesting to see that S_{2} and S_{3} with two and three involved noninertial qubits first increase and then decrease with the acceleration parameter r, but S_{2} is equal to constant 1 for zero involved noninertial qubit. The special cases in the limit r_{a,b,c,d} → π/4 are also studied.

Original language | English |
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Article number | 163487 |

Journal | Optik |

Volume | 201 |

DOIs | |

Publication status | Published - Jan 2020 |

## Keywords

- 03.65.Ud
- 03.67.-a
- 03.67.Mn
- 04.70.Dy
- Dirac field
- Entanglement
- GHZ state
- Nonuniform acceleration frame
- Tetrapartite

## ASJC Scopus subject areas

- Electronic, Optical and Magnetic Materials
- Atomic and Molecular Physics, and Optics
- Electrical and Electronic Engineering