Geometric phases distinguish entangled states in wormhole quantum mechanics

TL;DR

This paper links entanglement in quantum systems and wormhole physics, showing that states with identical entanglement can be distinguished by their Berry phase, which is experimentally measurable in qubit systems and related to wormhole dynamics.

Contribution

It demonstrates a novel connection between entanglement and geometric phases in both quantum mechanics and wormhole models within AdS/CFT, revealing a new way to distinguish states.

Findings

States with the same entanglement can have different Berry phases.

Berry phase differences are experimentally accessible in coupled qubit systems.

In wormhole physics, transformations related to Berry phase correspond to throat time evolution.

Abstract

We establish a relation between entanglement in simple quantum mechanical qubit systems and in wormhole physics as considered in the context of the AdS/CFT correspondence. We show that in both cases, states with the same entanglement structure, indistinguishable by any local measurement, nevertheless are characterized by a different Berry phase. This feature is experimentally accessible in coupled qubit systems where states with different Berry phase are related by unitary transformations. In the wormhole case, these transformations are identified with a time evolution of one of the two throats.