Entanglement of the vacuum between left, right, future, and past: Dirac spinor in Rindler and Kasner spaces

Kazushige Ueda; Atsushi Higuchi; Kazuhiro Yamamoto; Ar Rohim; Yue Nan

doi:10.1103/PhysRevD.103.125005

Entanglement of the vacuum between left, right, future, and past: Dirac spinor in Rindler and Kasner spaces

Kazushige Ueda, Atsushi Higuchi, Kazuhiro Yamamoto, Ar Rohim, Yue Nan

Department of Physics

Research output: Contribution to journal › Article › peer-review

8 Citations (Scopus)

Abstract

We study the relations of the positive frequency mode functions of Dirac field in 4-dimensional Minkowski spacetime covered with Rindler and Kasner coordinates, and describe the explicit form of the Minkowski vacuum state with the quantum states in Kasner and Rindler regions, and analytically continue the solutions. As a result, we obtain the correspondence of the positive frequency mode functions in Kasner region and Rindler region in a unified manner which derives vacuum entanglement.

Original language	English
Journal	Physical Review D
Volume	103
Issue number	12
DOIs	https://doi.org/10.1103/PhysRevD.103.125005
Publication status	Published - 10 May 2021

Access to Document

10.1103/PhysRevD.103.125005

https://link.aps.org/doi/10.1103/PhysRevD.103.125005

Cite this

@article{0d21c4f8bb084cb897974577103e7688,

title = "Entanglement of the vacuum between left, right, future, and past: Dirac spinor in Rindler and Kasner spaces",

abstract = "We study the relations of the positive frequency mode functions of Dirac field in 4-dimensional Minkowski spacetime covered with Rindler and Kasner coordinates, and describe the explicit form of the Minkowski vacuum state with the quantum states in Kasner and Rindler regions, and analytically continue the solutions. As a result, we obtain the correspondence of the positive frequency mode functions in Kasner region and Rindler region in a unified manner which derives vacuum entanglement.",

author = "Kazushige Ueda and Atsushi Higuchi and Kazuhiro Yamamoto and Ar Rohim and Yue Nan",

year = "2021",

month = may,

day = "10",

doi = "10.1103/PhysRevD.103.125005",

language = "English",

volume = "103",

journal = "Physical Review D",

issn = "2470-0010",

publisher = "American Physical Society",

number = "12",

}

TY - JOUR

T1 - Entanglement of the vacuum between left, right, future, and past: Dirac spinor in Rindler and Kasner spaces

AU - Ueda, Kazushige

AU - Higuchi, Atsushi

AU - Yamamoto, Kazuhiro

AU - Rohim, Ar

AU - Nan, Yue

PY - 2021/5/10

Y1 - 2021/5/10

N2 - We study the relations of the positive frequency mode functions of Dirac field in 4-dimensional Minkowski spacetime covered with Rindler and Kasner coordinates, and describe the explicit form of the Minkowski vacuum state with the quantum states in Kasner and Rindler regions, and analytically continue the solutions. As a result, we obtain the correspondence of the positive frequency mode functions in Kasner region and Rindler region in a unified manner which derives vacuum entanglement.

AB - We study the relations of the positive frequency mode functions of Dirac field in 4-dimensional Minkowski spacetime covered with Rindler and Kasner coordinates, and describe the explicit form of the Minkowski vacuum state with the quantum states in Kasner and Rindler regions, and analytically continue the solutions. As a result, we obtain the correspondence of the positive frequency mode functions in Kasner region and Rindler region in a unified manner which derives vacuum entanglement.

U2 - 10.1103/PhysRevD.103.125005

DO - 10.1103/PhysRevD.103.125005

M3 - Article

SN - 2470-0010

VL - 103

JO - Physical Review D

JF - Physical Review D

IS - 12

ER -

Entanglement of the vacuum between left, right, future, and past: Dirac spinor in Rindler and Kasner spaces

Abstract

Access to Document

Fingerprint

Cite this