Phase diagram of bipartite entanglement

Paolo Facchi; Giorgio Parisi; Saverio Pascazio; Antonello Scardicchio; Kazuya Yuasa

doi:10.1088/1751-8121/ab3f4e

Phase diagram of bipartite entanglement

Paolo Facchi^*
, Giorgio Parisi
, Saverio Pascazio
, Antonello Scardicchio
, Kazuya Yuasa

^*Corresponding author for this work

University of Bari
National Institute for Nuclear Physics
University of Rome La Sapienza
Abdus Salam International Centre for Theoretical Physics
Waseda University

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

6 Scopus citations

Abstract

We investigate the features of the entanglement spectrum (distribution of the eigenvalues of the reduced density matrix) of a large quantum system in a pure state. We consider all Rényi entropies and recover purity and von Neumann entropy as particular cases. We construct the phase diagram of the theory and unveil the presence of two critical lines.

Original language	English
Article number	414002
Journal	Journal of Physics A: Mathematical and Theoretical
Volume	52
Issue number	41
DOIs	https://doi.org/10.1088/1751-8121/ab3f4e
State	Published - 18 Sep 2019
Externally published	Yes

Keywords

entanglement
phase transitions
random matrix theory

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10.1088/1751-8121/ab3f4e

Cite this

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title = "Phase diagram of bipartite entanglement",

abstract = "We investigate the features of the entanglement spectrum (distribution of the eigenvalues of the reduced density matrix) of a large quantum system in a pure state. We consider all R{\'e}nyi entropies and recover purity and von Neumann entropy as particular cases. We construct the phase diagram of the theory and unveil the presence of two critical lines.",

keywords = "entanglement, phase transitions, random matrix theory",

author = "Paolo Facchi and Giorgio Parisi and Saverio Pascazio and Antonello Scardicchio and Kazuya Yuasa",

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AU - Facchi, Paolo

AU - Parisi, Giorgio

AU - Pascazio, Saverio

AU - Scardicchio, Antonello

AU - Yuasa, Kazuya

PY - 2019/9/18

Y1 - 2019/9/18

N2 - We investigate the features of the entanglement spectrum (distribution of the eigenvalues of the reduced density matrix) of a large quantum system in a pure state. We consider all Rényi entropies and recover purity and von Neumann entropy as particular cases. We construct the phase diagram of the theory and unveil the presence of two critical lines.

AB - We investigate the features of the entanglement spectrum (distribution of the eigenvalues of the reduced density matrix) of a large quantum system in a pure state. We consider all Rényi entropies and recover purity and von Neumann entropy as particular cases. We construct the phase diagram of the theory and unveil the presence of two critical lines.

KW - entanglement

KW - phase transitions

KW - random matrix theory

UR - https://www.scopus.com/pages/publications/85073110750

U2 - 10.1088/1751-8121/ab3f4e

DO - 10.1088/1751-8121/ab3f4e

M3 - 文章

AN - SCOPUS:85073110750

SN - 1751-8113

VL - 52

JO - Journal of Physics A: Mathematical and Theoretical

JF - Journal of Physics A: Mathematical and Theoretical

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M1 - 414002

ER -

Phase diagram of bipartite entanglement

Abstract

Keywords

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