Dynamical probing of high-order spin coherence in one-dimensional mixtures
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arXiv
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| Main Authors: | , , , , |
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| Format: | Preprint |
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2024
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| _version_ | 1866917926939918336 |
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| author | Musolino, Silvia Aupetit-Diallo, Gianni Albert, Mathias Vignolo, Patrizia Minguzzi, Anna |
| author_facet | Musolino, Silvia Aupetit-Diallo, Gianni Albert, Mathias Vignolo, Patrizia Minguzzi, Anna |
| contents | We investigate the dynamics of one-dimensional SU(2) ultracold fermions near the Tonks-Girardeau limit, confined in a box potential. The system is driven out of equilibrium by initially preparing the two spin components in a fully separated configuration, and its evolution is described by the Hamiltonian in the presence of strong repulsive interactions. Building on the results in [arXiv:2302.02828, Phys$.$Rev. A, 107, L061301 (2023)], we extend the analysis to out-of-equilibrium dynamics, uncovering the emergence of time-dependent oscillating high-momentum tails in the momentum distribution. These oscillations, due to the finite size of the system, are governed by a nonlocal, high-order spin coherence term, whose amplitude and phase evolve over time. We show that this term initially grows as time to the power N/2 and subsequently follows the spin-mixing dynamics of the system. Notably, when the spin components are fully mixed, the amplitude of this border-to-border spin coherence reaches its maximum value. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_23716 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Dynamical probing of high-order spin coherence in one-dimensional mixtures Musolino, Silvia Aupetit-Diallo, Gianni Albert, Mathias Vignolo, Patrizia Minguzzi, Anna Quantum Gases We investigate the dynamics of one-dimensional SU(2) ultracold fermions near the Tonks-Girardeau limit, confined in a box potential. The system is driven out of equilibrium by initially preparing the two spin components in a fully separated configuration, and its evolution is described by the Hamiltonian in the presence of strong repulsive interactions. Building on the results in [arXiv:2302.02828, Phys$.$Rev. A, 107, L061301 (2023)], we extend the analysis to out-of-equilibrium dynamics, uncovering the emergence of time-dependent oscillating high-momentum tails in the momentum distribution. These oscillations, due to the finite size of the system, are governed by a nonlocal, high-order spin coherence term, whose amplitude and phase evolve over time. We show that this term initially grows as time to the power N/2 and subsequently follows the spin-mixing dynamics of the system. Notably, when the spin components are fully mixed, the amplitude of this border-to-border spin coherence reaches its maximum value. |
| title | Dynamical probing of high-order spin coherence in one-dimensional mixtures |
| topic | Quantum Gases |
| url | https://arxiv.org/abs/2410.23716 |