SciPost Submission Page
Boundary overlap in the open XXZ spin chain
by Charbel Abetian, Nikolai Kitanine, Veronique Terras
Submission summary
| Authors (as registered SciPost users): | Nikolai Kitanine |
| Submission information | |
|---|---|
| Preprint Link: | https://arxiv.org/abs/2409.15194v3 (pdf) |
| Date accepted: | 2024-12-04 |
| Date submitted: | 2024-11-29 17:02 |
| Submitted by: | Kitanine, Nikolai |
| Submitted to: | SciPost Physics |
| Ontological classification | |
|---|---|
| Academic field: | Physics |
| Specialties: |
|
| Approach: | Theoretical |
Abstract
In this paper we compute the overlaps of the ground states for the open spin chains after a change of one of the boundary magnetic fields. It can be considered as the first step toward the study of the boundary quench problem: behaviour of an open spin chain after an abrupt change of one boundary magnetic field.
Author indications on fulfilling journal expectations
- Provide a novel and synergetic link between different research areas.
- Open a new pathway in an existing or a new research direction, with clear potential for multi-pronged follow-up work
- Detail a groundbreaking theoretical/experimental/computational discovery
- Present a breakthrough on a previously-identified and long-standing research stumbling block
Author comments upon resubmission
We thank the referees for their careful reading of the manuscript and their valuable comments.
In our revised version, we have implemented the corrections suggested by the referees. In particular, we have added an appendix with additional numerical plots and data tables to show the rapid convergence towards our analytical result and the accuracy of the analytic thermodynamic results for small system sizes, as requested in 11. and 12 by referee 1; we have also added a little comment and a sentence in the introduction to announce this appendix. We have also implemented the little changes 1. to 10. requested by referee 1, with the exception of 5. which is not a typo : the fact that the spectrum becomes gapless (i.e. the presence of holes) depends only on the critical field $h_cr^{(1)}$, as shown in reference [2] and explained in (38)-(39); however, the detailed configuration of the ground state (presence or not of a boundary complex root) depends also on the critical field $h_cr^{(2)}$, as explained just after.
We have also, as suggested by referee 2, added a comment in the conclusion on taking into account complex roots of Bethe equations (other than the fixed boundary roots).
Finally, we have corrected two minor additional misprints.
In our revised version, we have implemented the corrections suggested by the referees. In particular, we have added an appendix with additional numerical plots and data tables to show the rapid convergence towards our analytical result and the accuracy of the analytic thermodynamic results for small system sizes, as requested in 11. and 12 by referee 1; we have also added a little comment and a sentence in the introduction to announce this appendix. We have also implemented the little changes 1. to 10. requested by referee 1, with the exception of 5. which is not a typo : the fact that the spectrum becomes gapless (i.e. the presence of holes) depends only on the critical field $h_cr^{(1)}$, as shown in reference [2] and explained in (38)-(39); however, the detailed configuration of the ground state (presence or not of a boundary complex root) depends also on the critical field $h_cr^{(2)}$, as explained just after.
We have also, as suggested by referee 2, added a comment in the conclusion on taking into account complex roots of Bethe equations (other than the fixed boundary roots).
Finally, we have corrected two minor additional misprints.
List of changes
1. appendix A added to illustrate convergence of numerical results
2. added a remark in the conclusion
3. several typos corrected
Current status:
Accepted in target Journal
Editorial decision:
For Journal SciPost Physics: Publish
(status: Editorial decision fixed and (if required) accepted by authors)