Geometry of reduced density matrices for symmetry-protected topological phases

Chen, JY; Ji, Z; Liu, ZX; Shen, Y; Zeng, B

Geometry of reduced density matrices for symmetry-protected topological phases

Chen, JY Ji, Z

Liu, ZX Shen, Y Zeng, B

Permalink

Publication Type:: Journal Article
Citation:: Physical Review A, 2016, 93 (1)
Issue Date:: 2016-01-07

Open Access

Copyright Clearance Process

Recently Added
In Progress
Open Access

This item is open access.

Adobe PDF

Download Accepted Manuscript VersionAdobe PDF (953.85 kB)

View on publisher's site

View statistics

Full metadata record

Field	Value	Language
dc.contributor.author	Chen, JY	en_US
dc.contributor.author	Ji, Z https://orcid.org/0000-0002-7659-3178	en_US
dc.contributor.author	Liu, ZX	en_US
dc.contributor.author	Shen, Y	en_US
dc.contributor.author	Zeng, B	en_US
dc.date.issued	2016-01-07	en_US
dc.identifier.citation	Physical Review A, 2016, 93 (1)	en_US
dc.identifier.issn	2469-9926	en_US
dc.identifier.uri	http://hdl.handle.net/10453/122689
dc.description.abstract	© 2016 American Physical Society. In this paper, we study the geometry of reduced density matrices for states with symmetry-protected topological (SPT) order. We observe ruled surface structures on the boundary of the convex set of low-dimensional projections of the reduced density matrices. In order to signal the SPT order using ruled surfaces, it is important that we add a symmetry-breaking term to the boundary of the system - no ruled surface emerges in systems without a boundary or when we add a symmetry-breaking term representing a thermodynamic quantity. Although the ruled surfaces only appear in the thermodynamic limit where the ground-state degeneracy is exact, we analyze the precision of our numerical algorithm and show that a finite-system calculation suffices to reveal the ruled surface structures.	en_US
dc.relation.ispartof	Physical Review A	en_US
dc.relation.isbasedon	10.1103/PhysRevA.93.012309	en_US
dc.title	Geometry of reduced density matrices for symmetry-protected topological phases	en_US
dc.type	Journal Article
utslib.citation.volume	1	en_US
utslib.citation.volume	93	en_US
utslib.for	0206 Quantum Physics	en_US
utslib.for	0802 Computation Theory and Mathematics	en_US
pubs.embargo.period	Not known	en_US
pubs.organisational-group	/University of Technology Sydney
pubs.organisational-group	/University of Technology Sydney/Faculty of Engineering and Information Technology
pubs.organisational-group	/University of Technology Sydney/Strength - QSI - Centre for Quantum Software and Information
utslib.copyright.status	open_access
pubs.issue	1	en_US
pubs.publication-status	Published	en_US
pubs.volume	93	en_US

Abstract:

© 2016 American Physical Society. In this paper, we study the geometry of reduced density matrices for states with symmetry-protected topological (SPT) order. We observe ruled surface structures on the boundary of the convex set of low-dimensional projections of the reduced density matrices. In order to signal the SPT order using ruled surfaces, it is important that we add a symmetry-breaking term to the boundary of the system - no ruled surface emerges in systems without a boundary or when we add a symmetry-breaking term representing a thermodynamic quantity. Although the ruled surfaces only appear in the thermodynamic limit where the ground-state degeneracy is exact, we analyze the precision of our numerical algorithm and show that a finite-system calculation suffices to reveal the ruled surface structures.

Please use this identifier to cite or link to this item:

http://hdl.handle.net/10453/122689