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

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

2007-09-10

arxiv.org/abs/0709.1444v2

Phys. Rev. Lett. 100, 080406 (2008)

Physics

Condensed Matter

Other Condensed Matter

4+ pages, 1 figure; added references

Scientific paper

10.1103/PhysRevLett.100.080406

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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