Exact Solution of Strongly Interacting Quasi-One-Dimensional Spinor Bose Gases

Journal Article · Fri Apr 25 00:00:00 EDT 2008 · Physical Review Letters

DOI:https://doi.org/10.1103/PHYSREVLETT.100.160405· OSTI ID:21128064

Deuretzbacher, F; Becker, D; Pfannkuche, D ^[1]; Fredenhagen, K ^[2]; Bongs, K ^[3]; Sengstock, K ^[3]

---

1. I. Institut fuer Theoretische Physik, Universitaet Hamburg, Jungiusstrasse 9, 20355 Hamburg (Germany)
2. II. Institut fuer Theoretische Physik, Universitaet Hamburg, Luruper Chaussee 149, 22761 Hamburg (Germany)
3. Institut fuer Laserphysik, Universitaet Hamburg, Luruper Chaussee 149, 22761 Hamburg (Germany)

We present an exact analytical solution of the fundamental system of quasi-one-dimensional spin-1 bosons with infinite {delta} repulsion. The eigenfunctions are constructed from the wave functions of noninteracting spinless fermions, based on Girardeau's Fermi-Bose mapping. We show that the spinor bosons behave like a compound of noninteracting spinless fermions and noninteracting distinguishable spins. This duality is especially reflected in the spin densities and the energy spectrum. We find that the momentum distribution of the eigenstates depends on the symmetry of the spin function. Furthermore, we discuss the splitting of the ground state multiplet in the regime of large but finite repulsion.

• OSTI ID: 21128064
• Journal Information: Physical Review Letters, Vol. 100, Issue 16; Other Information: DOI: 10.1103/PhysRevLett.100.160405; (c) 2008 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 0031-9007
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ANALYTICAL SOLUTION
BOSE-EINSTEIN GAS
BOSONS
DUALITY
EIGENFUNCTIONS
EIGENSTATES
ENERGY SPECTRA
EXACT SOLUTIONS
FERMIONS
GROUND STATES
MAPPING
ONE-DIMENSIONAL CALCULATIONS
SPIN
SYMMETRY
WAVE FUNCTIONS