Quantum coherence of Gaussian states in curved spacetime

We study quantum coherence of two-mode Gaussian states in the background of an asymptotically flat black hole. We find that quantum coherence between mode A observed by an inertial observer Alice and mode B observed by an accelerated Bob who hovers near the event horizon is reduced by the Hawking th...

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Main Authors: Shu-Min Wu, Hao-Sheng Zeng, Tong-Hua Liu
Format: Article
Language:English
Published: Elsevier 2019-09-01
Series:Results in Physics
Online Access:http://www.sciencedirect.com/science/article/pii/S2211379719305455
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author Shu-Min Wu
Hao-Sheng Zeng
Tong-Hua Liu
author_facet Shu-Min Wu
Hao-Sheng Zeng
Tong-Hua Liu
author_sort Shu-Min Wu
collection DOAJ
description We study quantum coherence of two-mode Gaussian states in the background of an asymptotically flat black hole. We find that quantum coherence between mode A observed by an inertial observer Alice and mode B observed by an accelerated Bob who hovers near the event horizon is reduced by the Hawking thermal bath. However, it does not vanish in the limit of infinite Hawking temperature but is frozen to a certain value that is an increasing function of the squeezing parameter. We also find that the quantum coherence between Alice and Anti-Bob, Bob and Anti-Bob, increases with the Hawking temperature, which implies the transfer and/or generation of the quantum coherence assisted by the Hawking effect. Finally the additivity relationship of quantum coherence is discussed and a stronger monogamy for the considered system is discovered. 2000 MSC: 41A05, 41A10, 65D05, 65D17, Keywords: Quantum coherence, Gaussian state, Hawking effect
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spelling doaj.art-4e5c9475996e469f8415d108efee65d72022-12-21T19:12:51ZengElsevierResults in Physics2211-37972019-09-0114Quantum coherence of Gaussian states in curved spacetimeShu-Min Wu0Hao-Sheng Zeng1Tong-Hua Liu2Department of Physics, Synergetic Innovation Center for Quantum Effects, and Key Laboratory of Low Dimensional Quantum Structures and Quantum Control of Ministry of Education, Hunan Normal University, Changsha, Hunan 410081, ChinaDepartment of Physics, Synergetic Innovation Center for Quantum Effects, and Key Laboratory of Low Dimensional Quantum Structures and Quantum Control of Ministry of Education, Hunan Normal University, Changsha, Hunan 410081, China; Corresponding author.Department of Astronomy, Beijing Normal University, Beijing 100875, ChinaWe study quantum coherence of two-mode Gaussian states in the background of an asymptotically flat black hole. We find that quantum coherence between mode A observed by an inertial observer Alice and mode B observed by an accelerated Bob who hovers near the event horizon is reduced by the Hawking thermal bath. However, it does not vanish in the limit of infinite Hawking temperature but is frozen to a certain value that is an increasing function of the squeezing parameter. We also find that the quantum coherence between Alice and Anti-Bob, Bob and Anti-Bob, increases with the Hawking temperature, which implies the transfer and/or generation of the quantum coherence assisted by the Hawking effect. Finally the additivity relationship of quantum coherence is discussed and a stronger monogamy for the considered system is discovered. 2000 MSC: 41A05, 41A10, 65D05, 65D17, Keywords: Quantum coherence, Gaussian state, Hawking effecthttp://www.sciencedirect.com/science/article/pii/S2211379719305455
spellingShingle Shu-Min Wu
Hao-Sheng Zeng
Tong-Hua Liu
Quantum coherence of Gaussian states in curved spacetime
Results in Physics
title Quantum coherence of Gaussian states in curved spacetime
title_full Quantum coherence of Gaussian states in curved spacetime
title_fullStr Quantum coherence of Gaussian states in curved spacetime
title_full_unstemmed Quantum coherence of Gaussian states in curved spacetime
title_short Quantum coherence of Gaussian states in curved spacetime
title_sort quantum coherence of gaussian states in curved spacetime
url http://www.sciencedirect.com/science/article/pii/S2211379719305455
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AT haoshengzeng quantumcoherenceofgaussianstatesincurvedspacetime
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