English

Geometric phases distinguish entangled states in wormhole quantum mechanics

High Energy Physics - Theory 2022-04-26 v2 Other Condensed Matter General Relativity and Quantum Cosmology Quantum Physics

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.

Keywords

Cite

@article{arxiv.2109.06190,
  title  = {Geometric phases distinguish entangled states in wormhole quantum mechanics},
  author = {Flavio S. Nogueira and Souvik Banerjee and Moritz Dorband and René Meyer and Jeroen van den Brink and Johanna Erdmenger},
  journal= {arXiv preprint arXiv:2109.06190},
  year   = {2022}
}

Comments

v1: 8 pages, 2 figures v2: improved the discussion of the gravity calculation, added other minor corrections; version matches the one accepted for publication in PRD