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Coalescing hardcore-boson condensate states with nonzero momentum
by Chuhang Zhang,Zhi Song
This is not the latest submitted version.
Submission summary
| Authors (as registered SciPost users): | C.H. Zhang |
| Submission information | |
|---|---|
| Preprint Link: | scipost_202407_00005v1 (pdf) |
| Date submitted: | 2024-07-03 05:34 |
| Submitted by: | Zhang, C.H. |
| Submitted to: | SciPost Physics Core |
| Ontological classification | |
|---|---|
| Academic field: | Physics |
| Specialties: |
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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 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.
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
In the manuscript untitled "Coalescing hardcore-boson condensate states with nonzero momentum" by C. H. Zhang and Z. Song, the authors made an analitical and numerical study of the Hermitian and non-Hermitian extended hardcore Bose-Hubbard model on one-, two- and three-dimensional lattices. The authors claimed that there are condensate modes when the system parameters meet the matching conditions, and show that the correlations functions possesses off-diagonal long-rangfe order (ODLRO). Also they discussed the impact of non-Hermitian impurities on the dynamic formation of condensate states, which become coalescing states when the non-Hermitian PT-symmetric boundary induces the exceptional points.
The paper sounds interesting, however it is very difficult to read. The presentation is short and confusing; I do not understand why the authors limit themselves to discussing the physics involved in the paper. For example, the discussion of the figures is extremely short and not very explanatory. As for the analytical results, these seem correct; however, additional tests are required.
Based on the above reasons, I believe that this paper required major corrections to deserve 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