Reflection of a Lieb-Liniger wave packet from the hard-wall potential

Details Reflection of a Lieb-Liniger wave packet from the hard-wall potential Reflection of a Lieb-Liniger wave packet from the hard-wall potential

2009-11-02

arxiv.org/abs/0911.0260v2

Physics

Condensed Matter

Quantum Gases

revised version, improved notation, Fig. 5 added

Scientific paper

Nonequilibrium dynamics of a Lieb-Liniger system in the presence of the hard-wall potential is studied. We demonstrate that a time-dependent wave function, which describes quantum dynamics of a Lieb-Liniger wave packet comprised of N particles, can be found by solving an $N$-dimensional Fourier transform; this follows from the symmetry properties of the many-body eigenstates in the presence of the hard-wall potential. The presented formalism is employed to numerically calculate reflection of a few-body wave packet from the hard wall for various interaction strengths and incident momenta.

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