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Coalescing hardcore-boson condensate states with nonzero momentum
by C. H. Zhang, Z. Song
This is not the latest submitted version.
Submission summary
| Authors (as registered SciPost users): | C.H. Zhang |
| Submission information | |
|---|---|
| Preprint Link: | https://arxiv.org/abs/2404.13297v2 (pdf) |
| Date submitted: | 2024-10-24 14:36 |
| Submitted by: | Zhang, C.H. |
| Submitted to: | SciPost Physics Core |
| Ontological classification | |
|---|---|
| Academic field: | Physics |
| Specialties: |
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| Approaches: | Theoretical, Computational |
Abstract
Exceptional points (EPs), as an exclusive feature of a non-Hermitian system, support coalescing states to be alternative stable state beyond the ground state. In this work, we explore the influence of non-Hermitian impurities on the dynamic formation of condensate states in one-, two-, and three-dimensional extended Bose-Hubbard systems with strong on-site interaction. Based on the solution for the hardcore limit, we show exactly that condensate modes with off-diagonal long-range order (ODLRO) can exist when certain system parameters satisfy specific matching conditions. Under open boundary conditions, the condensate states become coalescing states when the non-Hermitian $\mathcal{PT}$-symmetric boundary gives rise to the EPs. The fundamental mechanism behind this phenomenon is uncovered through analyzing the scattering dynamics of many-particle wavepackets at the non-Hermitian boundaries. The EP dynamics facilitate the dynamic generation of condensate states with non-zero momentum. To further substantiate the theoretical findings, numerical simulations are conducted. This study not only unveils the potential condensation of interacting bosons but also offers an approach for the engineering of condensate states.
Author comments upon resubmission
Thank you for your letter and for the referee’s comments concerning our manuscript entitled "Coalescing hardcore-boson condensate states with nonzero momentum". In the report, the referee precisely assessed our work for the analytical and numerical study of the Hermitian and non-Hermitian extended hardcore Bose-Hubbard model, especially on condensate mode, ODLRO and dynamic formation of coalescing state. Except for these, we also stress our coalescing states as excited states. Based on these contents, referee made some comments which are all valuable and very constructive for revising and improving our paper, as well as the great guiding significance to our researches. We have studied these comments carefully and have made correction. In an effort to meet your approval, we have expand the discussion of the figure and physics revolved in the paper. And the additional test for our analytical result is added.
Yours sincerely,
C. H. Zhang, Z. Song
List of changes
Considering the referees' suggestions, we have revised our paper. The details are marked in the attached PDF file. The changes are listed below:
1.In Sec. II, an explanation has been added to understand the underlying mechanism for the eigenstates in Eq. (5).
2. In Sec. III, an explanation for the existence of exceptional point has been added .
3. In Sec. IV, the approach for evolution of wavepackets and implication for the result of Fig. 1 has been added.
4. In Sec. V, the description for the result of table.1 and table .2 and explanation for how these results guide numerical simulations has been added.
Current status:
Reports on this Submission
Strengths
1- The idea of looking for ways to obtain condensates with non-zero momentum.
2- Analytical and numerical calculations
Weaknesses
1- Despite the two appendices, the presentation of the analytical calculations is short and confusing, difficult to follow.
2- The discussion of the figures was short and vague.
Report
The authors have revised the paper entitled “Coalescing hardcore-boson condensate states with nonzero momentum.” Although they included new information and some explanations, my main criticism was not resolved, which is the poor or non-existent discussion of the numerical results shown in Figures 1 and 2. For example, the authors did not include any new information or explanation about Figure 2. Therefore, I do not consider the current version of this paper deserve of publication in Scipost Physics Core.
Requested changes
1- Expand the discussion of the analytical results, figures, and physics involved in the paper.
Recommendation
Ask for major revision