Turzillo, Alex and You, Minyoung (2017) Fermionic Matrix Product States and One-Dimensional Short-Range Entangled Phases with Anti-Unitary Symmetries. . (Submitted) https://resolver.caltech.edu/CaltechAUTHORS:20180220-094544061
![]() |
PDF
- Submitted Version
See Usage Policy. 270Kb |
Use this Persistent URL to link to this item: https://resolver.caltech.edu/CaltechAUTHORS:20180220-094544061
Abstract
We extend the formalism ofMatrix Product States (MPS) to describe one-dimensional gapped systems of fermions with both unitary and anti-unitary symmetries. Additionally, systems with orientation-reversing spatial symmetries are considered. The short-ranged entangled phases of such systems are classified by three invariants, which characterize the projective action of the symmetry on edge states. We give interpretations of these invariants as properties of states on the closed chain. The relationship between fermionic MPS systems at an RG fixed point and equivariant algebras is exploited to derive a group law for the stacking of fermionic phases. The result generalizes known classifications to symmetry groups that are non-trivial extensions of fermion parity and time-reversal.
Item Type: | Report or Paper (Discussion Paper) | ||||||
---|---|---|---|---|---|---|---|
Related URLs: |
| ||||||
ORCID: |
| ||||||
Additional Information: | Submitted on 30 Sep 2017. The authors would like to thank A. Kapustin for helpful discussions throughout the production of this paper. This research was supported by the U.S. Department of Energy, Office of Science, Office of High Energy Physics, under Award Number de-sc0011632. | ||||||
Funders: |
| ||||||
Record Number: | CaltechAUTHORS:20180220-094544061 | ||||||
Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20180220-094544061 | ||||||
Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | ||||||
ID Code: | 84889 | ||||||
Collection: | CaltechAUTHORS | ||||||
Deposited By: | Ruth Sustaita | ||||||
Deposited On: | 22 Feb 2018 04:39 | ||||||
Last Modified: | 03 Oct 2019 19:24 |
Repository Staff Only: item control page