Projects funded by the NCN


Information on the principal investigator and host institution

Information of the project and the call

Keywords

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Non-Abelian quantum topological order and fusion rules with Tensor Network States

2020/36/T/ST3/00451

Keywords:

tensor networks topological order nonabelian statistics fusion rules modular tensor category theory quantum phase transitions strongly correlated systems

Descriptors:

  • ST3_8: Magnetism and strongly correlated systems
  • ST3_6: Macroscopic quantum phenomena: superconductivity, superfluidity, etc.

Panel:

ST3 - Condensed matter physics: structure, electronic properties, fluids, nanosciences, biological physics

Host institution :

Uniwersytet Jagielloński, Wydział Fizyki, Astronomii i Informatyki Stosowanej

woj.

Other projects carried out by the institution 

Principal investigator (from the host institution):

Anna Elżbieta Francuz 

Number of co-investigators in the project: 1

Call: ETIUDA 8 - announced on 2019-12-16

Amount awarded: 135 000 PLN

Project start date (Y-m-d): 2020-10-01

Project end date (Y-m-d): 2022-09-05

Project duration:: 24 months (the same as in the proposal)

Project status: Project settled

Project description

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Note - project descriptions were prepared by the authors of the applications themselves and placed in the system in an unchanged form.

Information in the final report

  • Publication in academic press/journals (2)
  1. Determining non-Abelian topological order from infinite projected entangled pair states
    Authors:
    Anna Francuz, Jacek Dziarmaga
    Academic press:
    Physical Review B (rok: 2020, tom: 102, strony: 235112), Wydawca: APS
    Status:
    Published
    DOI:
    10.1103/PhysRevB.102.235112 - link to the publication
  2. Variational methods for characterizing matrix product operator symmetries
    Authors:
    Anna Francuz, Laurens Lootens, Frank Verstraete, and Jacek Dziarmaga
    Academic press:
    Physical Review B (rok: 2021, tom: 104, strony: 195152), Wydawca: APS
    Status:
    Published
    DOI:
    10.1103/PhysRevB.104.195152 - link to the publication