1. Microscopic origin of quantum supersonic phenomenon in one dimension
- Author
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Zhang, Zhe-Hao, Jiang, Yuzhu, Lin, Hai-Qing, and Guan, Xi-Wen
- Subjects
Condensed Matter - Quantum Gases - Abstract
Using the Bethe ansatz (BA), we rigorously obtain non-equilibrium dynamics of an impurity with a large initial momentum $Q$ in the one-dimensional (1D) interacting bosonic medium. We show that magnon and exciton-like states obtained from the BA equations drastically determine the oscillation nature of the quantum flutter with the periodicity given by $\tau_{\rm QF} = 2\pi/(|\varepsilon_{\rm c}(0)|- |\varepsilon_{\rm s}(0)|)$. Where the charge and spin dressed energies $\varepsilon_{\rm c,s}(0)$ are precisely given by the thermodynamical BA equations. While we further find a persistent revival dynamics of the impurity with a larger periodicity $\tau_{L} = L/\left(v_{\rm c}(Q-k^*)-v_{\rm s}(k^*)\right)$ than $\tau_{\rm QF}$, manifesting a quantum reflection induced by the periodic boundary conditions of a finite length $L$, here $v_{\rm c,s}$ are the sound velocities of charge and spin excitations, respectively, and $k^*$ is a characteristic momentum of the impurity to the Fermi point. Finally, we study the application of such a magnon impurity as a quantum resource for measuring the gravitational force., Comment: 6 pages+9pages, 4 figures + 7 figures, exact results of supersonic phenomenon, new figures and adding new result
- Published
- 2023