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Quantum Thermodynamics

Symmetry breaking effects upon bipartite and multipartite entanglement in the XY model

arXiv
Authors: Thiago R. de Oliveira, Gustavo Rigolin, Marcos C. de Oliveira, E. Miranda

Year

2007

Paper ID

49153

Status

Preprint

Abstract Read

~2 min

Abstract Words

108

Citations

N/A

Abstract

We analyze the bipartite and multipartite entanglement for the ground state of the one-dimensional XY model in a transverse magnetic field in the thermodynamical limit. We explicitly take into account the spontaneous symmetry breaking in order to explore the relation between entanglement and quantum phase transitions. As a result we show that while both bipartite and multipartite entanglement can be enhanced by spontaneous symmetry breaking deep into the ferromagnetic phase, only the latter is affected by it in the vicinity of the critical point. This result adds to the evidence that multipartite, and not bipartite, entanglement is the fundamental indicator of long range correlations in quantum phase transitions.

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  • This paper contributes to the Quantum Thermodynamics research area in the Quantum Articles archive.
  • It adds a 2007 reference point for readers tracking recent quantum research.
  • We analyze the bipartite and multipartite entanglement for the ground state of the one-dimensional XY model in a transverse magnetic field in the thermodynamical limit.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:0709.1956 [2] arXiv https://arxiv.org/abs/0709.1956 [3] Publisher https://arxiv.org/abs/0709.1956

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