1. Reflection of a Lieb-Liniger wave packet from the hard-wall potential.
- Author
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Jukić, D. and Buljan, H.
- Subjects
- *
WAVE packets , *TIME-domain analysis , *QUANTUM theory , *PARTICLES , *OPTICAL reflection , *LIGHT scattering , *FOURIER transforms - Abstract
Non-equilibrium 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 consisting 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. [ABSTRACT FROM AUTHOR]
- Published
- 2010
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