Strongly correlated states of a small cold-atom cloud from geometric gauge fields

Using exact diagonalization for a small system of cold bosonic atoms, we analyze the emergence of strongly correlated states in the presence of an artificial magnetic field. This gauge field is generated by a laser beam that couples two internal atomic states, and it is related to Berry's geome...

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Bibliographic Details
Published in:Physical review. A, Atomic, molecular, and optical physics Atomic, molecular, and optical physics, 2011-11, Vol.84 (5), Article 053605
Main Authors: Juliá-Díaz, B., Dagnino, D., Günter, K. J., Graß, T., Barberán, N., Lewenstein, M., Dalibard, J.
Format: Article
Language:English
Subjects:
ADIABATIC APPROXIMATION
ATOMIC AND MOLECULAR PHYSICS
ATOMS
BOSONS
CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS
CORRELATIONS
COUPLING
EIGENSTATES
ENERGY LEVELS
GEOMETRY
LASER RADIATION
MAGNETIC FIELDS
WAVE FUNCTIONS
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Summary:Using exact diagonalization for a small system of cold bosonic atoms, we analyze the emergence of strongly correlated states in the presence of an artificial magnetic field. This gauge field is generated by a laser beam that couples two internal atomic states, and it is related to Berry's geometrical phase that emerges when an atom follows adiabatically one of the two eigenstates of the atom-laser coupling. Our approach allows us to go beyond the adiabatic approximation, and to characterize the generalized Laughlin wave functions that appear in the strong magnetic-field limit.
ISSN:1050-2947
1094-1622
DOI:10.1103/PhysRevA.84.053605