4.6 Article

Phase diagram of bipartite entanglement

Journal

Publisher

IOP PUBLISHING LTD
DOI: 10.1088/1751-8121/ab3f4e

Keywords

entanglement; phase transitions; random matrix theory

Funding

  1. Istituto Nazionale di Fisica Nucleare (INFN) through the project 'QUANTUM'
  2. Italian National Group of Mathematical Physics (GNFM-INdAM)
  3. Ministry of Education, Culture, Sports, Science and Technology (MEXT), Japan
  4. Japan Society for the Promotion of Science (JSPS) [18K03470, 18KK0073]
  5. Waseda University [2018K262]
  6. Grants-in-Aid for Scientific Research [18KK0073, 18K03470] Funding Source: KAKEN

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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 Renyi 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.

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