Entropy-driven phase transitions of entanglement

Paolo Facchi; Giuseppe Florio; Giorgio Parisi; Saverio Pascazio; Kazuya Yuasa

doi:10.1103/PhysRevA.87.052324

Entropy-driven phase transitions of entanglement

Paolo Facchi^*, Giuseppe Florio, Giorgio Parisi, Saverio Pascazio, Kazuya Yuasa

^*Corresponding author for this work

School of Advanced Science and Engineering

Research output: Contribution to journal › Article › peer-review

24 Citations (Scopus)

Abstract

We study the behavior of bipartite entanglement at fixed von Neumann entropy. We look at the distribution of the entanglement spectrum, that is, the eigenvalues of the reduced density matrix of a quantum system in a pure state. We report the presence of two continuous phase transitions, characterized by different entanglement spectra, which are deformations of classical eigenvalue distributions.

Original language	English
Article number	052324
Journal	Physical Review A - Atomic, Molecular, and Optical Physics
Volume	87
Issue number	5
DOIs	https://doi.org/10.1103/PhysRevA.87.052324
Publication status	Published - 2013 May 28

ASJC Scopus subject areas

Atomic and Molecular Physics, and Optics

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10.1103/PhysRevA.87.052324

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title = "Entropy-driven phase transitions of entanglement",

abstract = "We study the behavior of bipartite entanglement at fixed von Neumann entropy. We look at the distribution of the entanglement spectrum, that is, the eigenvalues of the reduced density matrix of a quantum system in a pure state. We report the presence of two continuous phase transitions, characterized by different entanglement spectra, which are deformations of classical eigenvalue distributions.",

author = "Paolo Facchi and Giuseppe Florio and Giorgio Parisi and Saverio Pascazio and Kazuya Yuasa",

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AU - Parisi, Giorgio

AU - Pascazio, Saverio

AU - Yuasa, Kazuya

PY - 2013/5/28

Y1 - 2013/5/28

N2 - We study the behavior of bipartite entanglement at fixed von Neumann entropy. We look at the distribution of the entanglement spectrum, that is, the eigenvalues of the reduced density matrix of a quantum system in a pure state. We report the presence of two continuous phase transitions, characterized by different entanglement spectra, which are deformations of classical eigenvalue distributions.

AB - We study the behavior of bipartite entanglement at fixed von Neumann entropy. We look at the distribution of the entanglement spectrum, that is, the eigenvalues of the reduced density matrix of a quantum system in a pure state. We report the presence of two continuous phase transitions, characterized by different entanglement spectra, which are deformations of classical eigenvalue distributions.

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Entropy-driven phase transitions of entanglement

Abstract

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