Universal Analytical Solutions for Mixtures of Rotating Bose-Einstein Condensates

Journal Article · Sun Jan 01 00:00:00 EST 2012 · Physical Review Letters

DOI:https://doi.org/10.1103/PhysRevLett.108.075304· OSTI ID:1043927

Papenbrock, Thomas F ^[1]; Reimann, S. M. ^[2]; Kavoulakis, G. M. ^[3]

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1. ORNL
2. Lund University, Sweden
3. Technological Educational Institute of Crete, Heraklion, Greece

We derive exact analytical results for the many-body wave functions and energies of harmonically trapped two-component Bose-Einstein condensates with weak repulsive interactions under rotation. The wave functions are universal as they do not depend on the matrix elements of the two-body interaction. A comparison with the results from numerical diagonalization shows that the analytical solutions describe the ground state, as well as a set of low-lying excited states for repulsive contact interactions, Coulomb interactions, and the repulsive interactions between aligned dipoles.

• Research Organization: Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)
• Sponsoring Organization: USDOE Office of Science (SC)
• DOE Contract Number: DE-AC05-00OR22725
• OSTI ID: 1043927
• Journal Information: Physical Review Letters, Vol. 108, Issue 7; ISSN 0031-9007
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ANALYTICAL SOLUTION
CONDENSATES
DIPOLES
EXCITED STATES
GROUND STATES
MATRIX ELEMENTS
MIXTURES
ROTATION
WAVE FUNCTIONS