Local quantum uncertainty of two gravitational cat states in inhomogeneous magnetic field

TL;DR

This study explores how temperature, magnetic field strength, and inhomogeneity influence quantum correlations, including entanglement, in two gravitational cat states, revealing conditions where thermal quantum correlations dominate and states become separable.

Contribution

It derives the local quantum uncertainty expression for gravitational cat states in inhomogeneous magnetic fields and analyzes how various parameters affect quantum correlations and separability.

Findings

Thermal LQU exceeds entanglement at low magnetic fields.

States become separable with high magnetic field inhomogeneity.

Maximal correlations occur at low temperatures and small magnetic fields.

Abstract

This paper investigates the local quantum correlations (LQU), including entanglement, of two gravitational cat states subjected to an inhomogeneous magnetic field. We derived the LQU expression from the physical quantities associated with the selected system. Our findings suggest that temperature, magnetic field, and magnetic field inhomogeneity may all play a role in determining the degree of intricacy between the gravcats to some extent. Furthermore, these conclusions suggest that the thermal LQU captures a stronger quantum correlation than the entanglement. Especially true for low external magnetic field levels combined with low field inhomogeneity or high-temperature domains. Besides, we obtained the states' separability for large values of field inhomogeneity. Moreover, the correlation of the states obtained is maximal for small magnetic field values at low temperatures. Finally, we note that the state's systems become non-entangled and separable when the gap between the fundamental level and the first excited level becomes large.