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

2009/11/30 by Dario Jukić, D. Jukić, Hrvoje Buljan +1
Physics and Astronomy · #Classical mechanics #Cold Atom Physics and Bose-Einstein Condensates #Eigenvalues and eigenvectors #Formalism (music) #Fourier transform #Geometry #Physics #Quantum #Quantum many-body systems #Quantum mechanics #Quantum, superfluid, helium dynamics #Reflection (computer programming) #Reflection symmetry #Wave function #Wave packet #cond-mat.quant-gas

paper · pdf · doi:10.1088/1367-2630/12/5/055010

published as New Journal of Physics 12 055010 (2010) · revised version, improved notation, Fig. 5 added

arxiv created 2009/12/29 · openalex publication_date 2010/05/28 · arxiv updated 2015/05/14 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

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.

Citations

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