English
 
User Manual Privacy Policy Disclaimer Contact us
  Advanced SearchBrowse

Item

ITEM ACTIONSEXPORT
  Entanglement renormalization and symmetry fractionalization

Singh, S., McMahon, N., & Brennen, G. (2019). Entanglement renormalization and symmetry fractionalization. Physical Review B, 99(19): 195139. doi:10.1103/PhysRevB.99.195139.

Item is

Basic

show hide
Item Permalink: http://hdl.handle.net/21.11116/0000-0003-BFE4-5 Version Permalink: http://hdl.handle.net/21.11116/0000-0003-BFEB-E
Genre: Journal Article

Files

show Files
hide Files
:
1812.08500.pdf (Preprint), 950KB
Name:
1812.08500.pdf
Description:
File downloaded from arXiv at 2019-06-11 12:33
Visibility:
Public
MIME-Type / Checksum:
application/pdf / [MD5]
Technical Metadata:
Copyright Date:
-
Copyright Info:
-
:
PRB99.195139.pdf (Publisher version), 2MB
 
File Permalink:
-
Name:
PRB99.195139.pdf
Description:
-
Visibility:
Restricted (Max Planck Institute for Gravitational Physics (Albert Einstein Institute), Potsdam-Golm; )
MIME-Type / Checksum:
application/pdf
Technical Metadata:
Copyright Date:
-
Copyright Info:
-
License:
-

Locators

show

Creators

show
hide
 Creators:
Singh, Sukhbinder1, Author              
McMahon, Nathan, Author
Brennen, Gavin, Author
Affiliations:
1Gravity, Quantum Fields and Information, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, ou_2477692              

Content

show
hide
Free keywords: Condensed Matter, Strongly Correlated Electrons, cond-mat.str-el,Quantum Physics, quant-ph
 Abstract: It is well known that the matrix product state (MPS) description of a gapped ground state with a global on-site symmetry can exhibit "symmetry fractionalization". Namely, even though the symmetry acts as a linear representation on the physical degrees of freedom, the MPS matrices---which act on some virtual degrees of freedom---can transform under a projective representation. This was instrumental in classifying gapped symmetry protected phases that manifest in one dimensional quantum many-body systems. Here we consider the multi-scale entanglement renormalization ansatz (MERA) description of 1D ground states that have global on-site symmetries. We show that, in contrast to the MPS, the symmetry does not fractionalize in the MERA description if the ground state is gapped, assuming that the MERA preserves the symmetry at all length scales. However, it is still possible that the symmetry can fractionalize in the MERA if the ground state is critical, which may be relevant for characterizing critical symmetry protected phases. Our results also motivate the presumed use of symmetric tensors to implement global on-site symmetries in MERA algorithms.

Details

show
hide
Language(s):
 Dates: 2018-12-202019
 Publication Status: Published in print
 Pages: 11 pages, 7 figures
 Publishing info: -
 Table of Contents: -
 Rev. Method: -
 Identifiers: arXiv: 1812.08500
DOI: 10.1103/PhysRevB.99.195139
URI: http://arxiv.org/abs/1812.08500
 Degree: -

Event

show

Legal Case

show

Project information

show

Source 1

show
hide
Title: Physical Review B
  Abbreviation : Phys. Rev. B
Source Genre: Journal
 Creator(s):
Affiliations:
Publ. Info: Woodbury, NY : American Physical Society
Pages: - Volume / Issue: 99 (19) Sequence Number: 195139 Start / End Page: - Identifier: ISSN: 1098-0121
CoNE: https://pure.mpg.de/cone/journals/resource/954925225008