Separation of Timescales in a Quantum Newton's Cradle
Abstract
For strongly repulsive bosons in one dimension, we provide detailed modeling of the Bragg pulse used in quantum Newton's cradle-like settings or in Bragg spectroscopy experiments. By employing the Fermi-Bose mapping for a finite harmonically trapped gas and the Quench Action approach for a thermodynamic system on a ring, we reconstruct the exact post-pulse many-body time evolution of Lieb-Liniger gases in the Tonks-Girardeau limit, together with their changing local density profile and momentum distribution. Our results display a clear separation of timescales between rapid and trap-insensitive relaxation immediately after the pulse, followed by slow in-trap periodic behaviour.
Keywords
Cite
@article{arxiv.1507.06339,
title = {Separation of Timescales in a Quantum Newton's Cradle},
author = {R. van den Berg and B. Wouters and S. Eliëns and J. De Nardis and R. M. Konik and J. -S. Caux},
journal= {arXiv preprint arXiv:1507.06339},
year = {2016}
}
Comments
9 pages (including Supp. Mat.), 7 figures [v2: changes in Fig. 4 and Fig. 6, references added]