| | |
| | |
Stat |
Members: 3643 Articles: 2'487'895 Articles rated: 2609
28 March 2024 |
|
| | | |
|
Article overview
| |
|
Lifetime of almost strong edge-mode operators in one dimensional, interacting, symmetry protected topological phases | Daniel J. Yates
; Alexander G. Abanov
; Aditi Mitra
; | Date: |
1 Feb 2020 | Abstract: | Almost strong edge-mode operators arising at the boundaries of certain
interacting 1D symmetry protected topological phases with (Z_2) symmetry have
infinite temperature lifetimes that are non-perturbatively long in the
integrability breaking terms, making them promising as bits for quantum
information processing. We extract the lifetime of these edge-mode operators
for small system sizes as well as in the thermodynamic limit. For the latter, a
Lanczos scheme is employed to map the operator dynamics to a one dimensional
tight-binding model of a single particle in Krylov space. We find this model to
be that of a spatially inhomogeneous Su-Schrieffer-Heeger model with a hopping
amplitude and dimerization respectively increasing and decreasing away from the
boundary. Thus the short time dynamics of the almost strong mode is that of the
edge-mode of the Su-Schrieffer-Heeger model, while the long time dynamics
involves decay due to tunneling out of that mode, followed by chaotic operator
spreading. We also show that competing scattering processes can lead to
interference effects that can significantly enhance the lifetime. | Source: | arXiv, 2002.0098 | Services: | Forum | Review | PDF | Favorites |
|
|
No review found.
Did you like this article?
Note: answers to reviews or questions about the article must be posted in the forum section.
Authors are not allowed to review their own article. They can use the forum section.
browser claudebot
|
| |
|
|
|
| News, job offers and information for researchers and scientists:
| |