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arXiv · 1507.06339

Separation of Timescales in a Quantum Newton's Cradle

R. van den Berg·B. Wouters·S. Eliëns·J. De Nardis·R. M. Konik·J. -S. Caux
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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.

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R. van den Berg, B. Wouters, S. Eliëns, J. De Nardis, R. M. Konik, J. -S. Caux. 2015-09-08. Separation of Timescales in a Quantum Newton's Cradle. https://doi.org/10.1103/physrevlett.116.225302

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