https://doi.org/10.1140/epjc/s10052-022-10841-9
Regular Article - Theoretical Physics
Generation of quantum coherence for continuous variables between causally disconnected regions in dilaton spacetime
Department of Physics and Synergetic Innovation Center for Quantum Effects, Key Laboratory of Low-Dimensional Quantum Structures and Quantum Control of Ministry of Education, Key Laboratory for Matter Microstructure and Function of Hunan Province, Hunan Normal University, 410081, Changsha, China
Received:
26
March
2022
Accepted:
23
September
2022
Published online:
8
October
2022
We study the dynamics of Gaussian quantum coherence under the background of a Garfinkle–Horowitz–Strominger dilaton black hole. It is shown that the dilaton field has evident effects on the degree of coherence for all the bipartite subsystems. The bipartite Gaussian coherence is not affected by the frequency of the scalar field for an uncharged or an extreme dilaton black hole. It is found that the initial coherence is not completely destroyed even for an extreme dilaton black hole, which is quite different from the behavior of quantum steering because the latter suffers from a “sudden death” under the same conditions. This is nontrivial because one can employ quantum coherence as a resource for quantum information processing tasks even if quantum correlations have been destroyed by the strong gravitational field. In addition, it is demonstrated that the generation of quantum coherence between the initial separable modes is easier for low-frequency scalar fields. At the same time, quantum coherence is smoothly generated betweenone pair of partners and exhibits a “sudden birth” behavior between another pairs in the curved spacetime.
Qinglong Xiao and Cuihong Wen contributed equally to this work.
© The Author(s) 2022
Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/.
Funded by SCOAP3. SCOAP3 supports the goals of the International Year of Basic Sciences for Sustainable Development.