SciPost Submission Page
Phase transitions of wave packet dynamics in disordered non-Hermitian systems
by Helene Spring, Viktor Könye, Fabian A. Gerritsma, Ion Cosma Fulga, Anton R. Akhmerov
This Submission thread is now published as
Submission summary
| Authors (as registered SciPost users): | Anton Akhmerov · Ion Cosma Fulga · Viktor Könye · Helene Spring |
| Submission information | |
|---|---|
| Preprint Link: | https://arxiv.org/abs/2301.07370v2 (pdf) |
| Code repository: | https://doi.org/10.5281/zenodo.7535012 |
| Data repository: | https://doi.org/10.5281/zenodo.7535012 |
| Date accepted: | 2024-04-08 |
| Date submitted: | 2024-02-26 13:17 |
| Submitted by: | Spring, Helene |
| Submitted to: | SciPost Physics |
| Ontological classification | |
|---|---|
| Academic field: | Physics |
| Specialties: |
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| Approaches: | Theoretical, Computational |
Abstract
Disorder can localize the eigenstates of one-dimensional non-Hermitian systems, leading to an Anderson transition with a critical exponent of 1. We show that, due to the lack of energy conservation, the dynamics of individual, real-space wave packets follows a different behavior. Both transitions between localization and unidirectional amplification, as well as transitions between distinct propagating phases become possible. The critical exponent of the transition is close to $1/2$ in propagating-propagating transitions.
List of changes
Listed in full in the replies to referees of the first submission.
Published as SciPost Phys. 16, 120 (2024)
Reports on this Submission
Report #3 by Anonymous (Referee 1) on 2024-3-23 (Invited Report)
- Cite as: Anonymous, Report on arXiv:2301.07370v2, delivered 2024-03-22, doi: 10.21468/SciPost.Report.8751
Strengths
The topics in this paper are interesting both from non-Hermitian physics and localization physics points of view.
Report
The authors answered most of the questions/comments in my previous report, and the paper has improved with revisions. I have one additional comment. Recently, the mapping of non-hermitian localization transition to Hermitian one is shown [Luo et al., Physical Review Research 4, L022035 (2022)], where nu in non-hermitian localization-delocalization transition is explained by one of the 10 Hermitian symmetry classes. I would like to know which of the Hermitian symmetry classes the result nu=1/2 in this paper corresponds to. But this is an optional comment, and I don't block publication even if the authors do not answer this question.
Strengths
1. Details an interesting type of localization transition enabled by non-Hermitian systems with point gap winding.
Report
Given that the authors have narrowed their claims to non-Hermitian systems with point-gap winding, I have no more quibbles worth noting. This is an interesting result that ties localization physics to point-gap winding (a topic of recent interest), so it is certainly worth publishing.
Author: Anton Akhmerov on 2024-02-28 [id 4331]
(in reply to Report 1 on 2024-02-27)Dear referee,
Can you please be more specific regarding which of our findings or claims you find insufficiently supported or explained in the resubmitted version?
Thank you in advance.