Darmstadt 2008 – scientific programme
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Q: Fachverband Quantenoptik und Photonik
Q 63: Quantengase (Wechselwirkungseffekte II / Spinorgase)
Q 63.7: Talk
Friday, March 14, 2008, 15:30–15:45, 3G/H
Exact solution of strongly interacting quasi one-dimensional spinor bose gases — •Frank Deuretzbacher1, Klaus Fredenhagen2, Daniel Becker1, Kai Bongs3,4, Klaus Sengstock3, and Daniela Pfannkuche1 — 1I. Institut für Theoretische Physik, Universität Hamburg, Germany — 2II. Institut für Theoretische Physik, Universität Hamburg, Germany — 3Institut für Laserphysik, Universität Hamburg, Germany — 4School of Physics and Astronomy, University of Birmingham, United Kingdom
One-dimensional systems of non-interacting fermions can be mapped to bosons with infinite δ-repulsion. This relationship has been found by Girardeau already in 1960 for spinless particles. We generalize Girardeau’s mapping to bosons with spin. The surprising new result is that hard-core bosons with spin can be mapped to spinless non-interacting fermions and distinguishable spins.
Our mapping allows for exact calculations of spin densities and the energy spectrum. Another central result is that the momentum distribution depends on the symmetry of the spin wave function. States with completely symmetric spin wave functions have the typical momentum distribution of spinless bosons, whereas states with very antisymmetric spin wave functions have much broader and flatter momentum distributions which resemble the one of non-interacting fermions.
[1] F. Deuretzbacher, et al., arXiv:0708.3039