Generation of quantum coherence for continuous variables between causally disconnected regions in dilaton spacetime

Abstract

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.

arXiv comment15 pages, 7 figures

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Cited by in corpus (4)

• Basis-independent quantum coherence and its distribution under relativistic motion
• Maximal Steered Coherence in Accelerating Unruh-DeWitt Detectors
• Nonseparability of multipartite systems in dilaton black hole
• Bosonic and fermionic mutual information of N-partite systems in dilaton black hole background