Quantum droplets in dipolar quasi-one-dimensional Bose-Einstein condensates in optical lattices
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arXiv
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| Format: | Preprint |
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2026
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| _version_ | 1866908933631770624 |
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| author | Siddik, Sk Sekh, Golam Ali |
| author_facet | Siddik, Sk Sekh, Golam Ali |
| contents | We consider quantum droplets in dipolar Bose-Einstein condensates (BECs) embedded in optical lattices within the framework of Gross-Pitaevskii equations. In dipolar BECs, the long-range and anistropic dipole-dipole interaction provides an additional mechanism for self-binding. We analyze the linear stability as well dynamics of quantum droplets. We find effective potential for the width and show that the optimum width for formation of quantum droplet increases as the dipole-dipole interaction increases. We study dynamics of the stable droplets and see that its width oscillates periodically, and the amplitude of oscillation increases with the increase of dipole-dipole interaction. In presence of optical lattices, width of a stable droplet changes quasi-periodically while the density profile oscillating periodically in space. The frequency of oscillation are found to depend sensitively on the lattice parameters. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_02163 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Quantum droplets in dipolar quasi-one-dimensional Bose-Einstein condensates in optical lattices Siddik, Sk Sekh, Golam Ali Quantum Gases We consider quantum droplets in dipolar Bose-Einstein condensates (BECs) embedded in optical lattices within the framework of Gross-Pitaevskii equations. In dipolar BECs, the long-range and anistropic dipole-dipole interaction provides an additional mechanism for self-binding. We analyze the linear stability as well dynamics of quantum droplets. We find effective potential for the width and show that the optimum width for formation of quantum droplet increases as the dipole-dipole interaction increases. We study dynamics of the stable droplets and see that its width oscillates periodically, and the amplitude of oscillation increases with the increase of dipole-dipole interaction. In presence of optical lattices, width of a stable droplet changes quasi-periodically while the density profile oscillating periodically in space. The frequency of oscillation are found to depend sensitively on the lattice parameters. |
| title | Quantum droplets in dipolar quasi-one-dimensional Bose-Einstein condensates in optical lattices |
| topic | Quantum Gases |
| url | https://arxiv.org/abs/2604.02163 |