Noncommutative information is revealed from the static detector outside the black hole

We investigate the transition behavior of the two-level atom as the Unruh-DeWitt detector outside a noncommutative black hole. When the mass of the black hole is small enough, the difference between the commutative and noncommutative black hole can be distinguished. In particular, an evident fluctua...

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Main Authors: Jingran Shi, Yipeng Liu, Baocheng Zhang
Format: Article
Language:English
Published: Elsevier 2024-01-01
Series:Physics Letters B
Subjects:
Online Access:http://www.sciencedirect.com/science/article/pii/S0370269323007499
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author Jingran Shi
Yipeng Liu
Baocheng Zhang
author_facet Jingran Shi
Yipeng Liu
Baocheng Zhang
author_sort Jingran Shi
collection DOAJ
description We investigate the transition behavior of the two-level atom as the Unruh-DeWitt detector outside a noncommutative black hole. When the mass of the black hole is small enough, the difference between the commutative and noncommutative black hole can be distinguished. In particular, an evident fluctuation appearing at a far distance from the horizon by calculating the quantum Fisher information of the transition rate with regard to the local Hawking temperature provides a novel and interesting result about the information extraction of the noncommutativity for a small-mass black hole.
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spelling doaj.art-bb09bef926fa4878bfd3371e7d1f4afe2024-01-07T04:31:00ZengElsevierPhysics Letters B0370-26932024-01-01848138416Noncommutative information is revealed from the static detector outside the black holeJingran Shi0Yipeng Liu1Baocheng Zhang2School of Mathematics and Physics, China University of Geosciences, Wuhan 430074, ChinaSchool of Mathematics and Physics, China University of Geosciences, Wuhan 430074, ChinaCorresponding author.; School of Mathematics and Physics, China University of Geosciences, Wuhan 430074, ChinaWe investigate the transition behavior of the two-level atom as the Unruh-DeWitt detector outside a noncommutative black hole. When the mass of the black hole is small enough, the difference between the commutative and noncommutative black hole can be distinguished. In particular, an evident fluctuation appearing at a far distance from the horizon by calculating the quantum Fisher information of the transition rate with regard to the local Hawking temperature provides a novel and interesting result about the information extraction of the noncommutativity for a small-mass black hole.http://www.sciencedirect.com/science/article/pii/S0370269323007499Noncommutative black holeUnruh-DeWitt detectorTransition rateFisher information
spellingShingle Jingran Shi
Yipeng Liu
Baocheng Zhang
Noncommutative information is revealed from the static detector outside the black hole
Physics Letters B
Noncommutative black hole
Unruh-DeWitt detector
Transition rate
Fisher information
title Noncommutative information is revealed from the static detector outside the black hole
title_full Noncommutative information is revealed from the static detector outside the black hole
title_fullStr Noncommutative information is revealed from the static detector outside the black hole
title_full_unstemmed Noncommutative information is revealed from the static detector outside the black hole
title_short Noncommutative information is revealed from the static detector outside the black hole
title_sort noncommutative information is revealed from the static detector outside the black hole
topic Noncommutative black hole
Unruh-DeWitt detector
Transition rate
Fisher information
url http://www.sciencedirect.com/science/article/pii/S0370269323007499
work_keys_str_mv AT jingranshi noncommutativeinformationisrevealedfromthestaticdetectoroutsidetheblackhole
AT yipengliu noncommutativeinformationisrevealedfromthestaticdetectoroutsidetheblackhole
AT baochengzhang noncommutativeinformationisrevealedfromthestaticdetectoroutsidetheblackhole