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arXiv · 0709.1444

Fermi-Bose transformation for the time-dependent Lieb-Liniger gas

H. Buljan·R. Pezer·T. Gasenzer
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Abstract

Exact solutions of the Schrodinger equation describing a freely expanding Lieb-Liniger (LL) gas of delta-interacting bosons in one spatial dimension are constructed. The many-body wave function is obtained by transforming a fully antisymmetric (fermionic) time-dependent wave function which obeys the Schrodinger equation for a free gas. This transformation employs a differential Fermi-Bose mapping operator which depends on the strength of the interaction and the number of particles.

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H. Buljan, R. Pezer, T. Gasenzer. 2007-09-26. Fermi-Bose transformation for the time-dependent Lieb-Liniger gas. https://doi.org/10.1103/physrevlett.100.080406

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