Modulational instability and discrete quantum droplets in a deep quasi-one-dimensional optical lattice
Fuente:
arXiv
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866909929253634048 |
|---|---|
| author | Otajonov, Sherzod R. Umarov, Bakhram A. Abdullaev, Fatkhulla Kh. |
| author_facet | Otajonov, Sherzod R. Umarov, Bakhram A. Abdullaev, Fatkhulla Kh. |
| contents | We study the properties of modulational instability and discrete breathers arising in a quasi-one-dimensional discrete Gross-Pitaevskii equation with Lee-Huang-Yang corrections. Conditions for modulation instability and instability regions of nonlinear plane waves are determined in parameter space. We analytically investigate the existence of different quantum droplet solutions, including intersite, onsite, front-like, flat-top and dark localized modes, using the Page method and variational approach. Their stability is checked using linear stability analyses and numerical simulations. The analytical predictions corroborated with the numerical simulations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_18883 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Modulational instability and discrete quantum droplets in a deep quasi-one-dimensional optical lattice Otajonov, Sherzod R. Umarov, Bakhram A. Abdullaev, Fatkhulla Kh. Pattern Formation and Solitons Quantum Gases We study the properties of modulational instability and discrete breathers arising in a quasi-one-dimensional discrete Gross-Pitaevskii equation with Lee-Huang-Yang corrections. Conditions for modulation instability and instability regions of nonlinear plane waves are determined in parameter space. We analytically investigate the existence of different quantum droplet solutions, including intersite, onsite, front-like, flat-top and dark localized modes, using the Page method and variational approach. Their stability is checked using linear stability analyses and numerical simulations. The analytical predictions corroborated with the numerical simulations. |
| title | Modulational instability and discrete quantum droplets in a deep quasi-one-dimensional optical lattice |
| topic | Pattern Formation and Solitons Quantum Gases |
| url | https://arxiv.org/abs/2409.18883 |