Stable semivortex gap solitons in a spin-orbit-coupled Fermi gas
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| Main Authors: | , , , , , |
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| Format: | Preprint |
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2024
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| _version_ | 1866911760795041792 |
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| author | Díaz, Pablo Molinares, Hugo Pérez, Laura M. Laroze, David Bragard, Jean Malomed, Boris A. |
| author_facet | Díaz, Pablo Molinares, Hugo Pérez, Laura M. Laroze, David Bragard, Jean Malomed, Boris A. |
| contents | We demonstrate the existence of semivortex (SV) solitons, with vorticities $0$ and $1$ in the two components, in a two-dimensional (2D) fermionic spinor system under the action of the Rashba-type spin-orbit coupling in the combination with the Zeeman splitting (ZS). In the ``heavy-atom" approximation, which was previously elaborated for the bosonic system, the usual kinetic energy is neglected, which gives rise to a linear spectrum with a bandgap. The model includes the effective Pauli self-repulsion with power $7/3$, as produced by the density-functional theory of Fermi superfluids. In the general case, the inter-component contact repulsion is included too. We construct a family of gap solitons of the SV type populating the spectral bandgap. A stability region is identified for the SV solitons, by means of systematic simulations, in the parameter plane of the cross-repulsion strength and chemical potential. The stability region agrees with the prediction of the anti-Vakhitov-Kolokolov criterion, which is a relevant necessary stability condition for systems with self-repulsive nonlinearities. We also test the stability of the SV solitons against a sudden change of the ZS strength, which initiates robust oscillations in the spin state of the soliton due to transfer of particles between the system's components. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2401_10406 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Stable semivortex gap solitons in a spin-orbit-coupled Fermi gas Díaz, Pablo Molinares, Hugo Pérez, Laura M. Laroze, David Bragard, Jean Malomed, Boris A. Pattern Formation and Solitons Quantum Gases We demonstrate the existence of semivortex (SV) solitons, with vorticities $0$ and $1$ in the two components, in a two-dimensional (2D) fermionic spinor system under the action of the Rashba-type spin-orbit coupling in the combination with the Zeeman splitting (ZS). In the ``heavy-atom" approximation, which was previously elaborated for the bosonic system, the usual kinetic energy is neglected, which gives rise to a linear spectrum with a bandgap. The model includes the effective Pauli self-repulsion with power $7/3$, as produced by the density-functional theory of Fermi superfluids. In the general case, the inter-component contact repulsion is included too. We construct a family of gap solitons of the SV type populating the spectral bandgap. A stability region is identified for the SV solitons, by means of systematic simulations, in the parameter plane of the cross-repulsion strength and chemical potential. The stability region agrees with the prediction of the anti-Vakhitov-Kolokolov criterion, which is a relevant necessary stability condition for systems with self-repulsive nonlinearities. We also test the stability of the SV solitons against a sudden change of the ZS strength, which initiates robust oscillations in the spin state of the soliton due to transfer of particles between the system's components. |
| title | Stable semivortex gap solitons in a spin-orbit-coupled Fermi gas |
| topic | Pattern Formation and Solitons Quantum Gases |
| url | https://arxiv.org/abs/2401.10406 |