Quantum obesity and steering ellipsoids for fermionic fields in dilaton black hole

TL;DR

This paper explores how quantum correlations like quantum obesity, discord, and steering ellipsoids behave in fermionic fields near dilaton black holes, revealing their dependence on spacetime dilation and particle regions.

Contribution

It introduces and analyzes quantum obesity, discord, and steering ellipsoids in fermionic fields affected by black hole spacetime dilation, extending understanding of quantum correlations in curved spacetime.

Findings

Quantum discord and obesity decrease with dilation in region-I.

In anti-particle region, quantum correlations stabilize and then increase with dilation.

Steering ellipsoid size varies with field frequency and dilation, differently in each region.

Abstract

This paper investigates quantum obesity (QO), quantum discord (QD), and the quantum steering ellipsoid (QSE) for bipartite Gisin states subjected to Garfinkle-Horowitz-Strominger (GHS) dilation of spacetime on the second qubit. These three quantifiers are introduced to characterize quantum correlations beyond entanglement and can also function as entanglement witnesses. Our results demonstrate a monotonic decrease in the physical accessibility of both QD and QO as the dilation parameter increases within the region-I of the second qubit. Conversely, in the anti-particle region, the accessibility of QD and QO stabilizes at finite values of the dilation parameter owing to the influence of the Pauli exclusion principle and Fermi-Dirac statistics, subsequently increasing gradually. Notably, the QSE in the region-I expands as the Dirac field frequency rises and the dilation parameter diminishes, while the opposite trend is observed in the anti-particle region.