Bose-Einstein condensates in a spin-twisted harmonic trap
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866908539419623424 |
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| author | He, Huaxin Pang, Fengtao Zhang, Xianchao Zhang, Yongping Qu, Chunlei |
| author_facet | He, Huaxin Pang, Fengtao Zhang, Xianchao Zhang, Yongping Qu, Chunlei |
| contents | We investigate the ground-state phases and spin-scissors dynamics of binary Bose-Einstein condensates confined in a twisted two-dimensional harmonic trap. The ground state hosts three distinct phases-phase-separated, polarized, and phase-mixed-determined by the Rabi coupling, interaction ratio G (between inter-component and intra-component interactions), and spin-twisting which induces edge-localized polarization through position-dependent detuning. In the phase-mixed regime, the ground state is characterized by a finite spin-scissors susceptibility and can be accurately described using local density approximation. In the dynamics, the system exhibits stable periodic beating in the phase-mixed state for G<1. For G>1, its evolution progresses from beat damping (phase-separated state) to polarized relaxation (polarized state), finally reaching stable periodic beating (phase-mixed state) after a finite waiting time. The dependence of the waiting time contrasts sharply with the monotonic behavior of one-dimensional spin-dipole dynamics, revealing qualitatively distinct mechanisms governed by geometry and interactions. In summary, these results establish a unified link between ground-state properties and nonequilibrium responses in twisted spinor condensates, offering a versatile platform for exploring spin-related quantum many-body phenomena. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_11769 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Bose-Einstein condensates in a spin-twisted harmonic trap He, Huaxin Pang, Fengtao Zhang, Xianchao Zhang, Yongping Qu, Chunlei Quantum Gases We investigate the ground-state phases and spin-scissors dynamics of binary Bose-Einstein condensates confined in a twisted two-dimensional harmonic trap. The ground state hosts three distinct phases-phase-separated, polarized, and phase-mixed-determined by the Rabi coupling, interaction ratio G (between inter-component and intra-component interactions), and spin-twisting which induces edge-localized polarization through position-dependent detuning. In the phase-mixed regime, the ground state is characterized by a finite spin-scissors susceptibility and can be accurately described using local density approximation. In the dynamics, the system exhibits stable periodic beating in the phase-mixed state for G<1. For G>1, its evolution progresses from beat damping (phase-separated state) to polarized relaxation (polarized state), finally reaching stable periodic beating (phase-mixed state) after a finite waiting time. The dependence of the waiting time contrasts sharply with the monotonic behavior of one-dimensional spin-dipole dynamics, revealing qualitatively distinct mechanisms governed by geometry and interactions. In summary, these results establish a unified link between ground-state properties and nonequilibrium responses in twisted spinor condensates, offering a versatile platform for exploring spin-related quantum many-body phenomena. |
| title | Bose-Einstein condensates in a spin-twisted harmonic trap |
| topic | Quantum Gases |
| url | https://arxiv.org/abs/2509.11769 |