Dynamical probing of high-order spin coherence in one-dimensional mixtures
Abstract
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, PhysRev. 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.
Keywords
Cite
@article{arxiv.2410.23716,
title = {Dynamical probing of high-order spin coherence in one-dimensional mixtures},
author = {Silvia Musolino and Gianni Aupetit-Diallo and Mathias Albert and Patrizia Vignolo and Anna Minguzzi},
journal= {arXiv preprint arXiv:2410.23716},
year = {2025}
}