76 research outputs found
Three interacting atoms in a one-dimensional trap: A benchmark system for computational approaches
We provide an accurate calculation of the energy spectrum of three atoms
interacting through a contact force in a one-dimensional harmonic trap,
considering both spinful fermions and spinless bosons. We use fermionic
energies as a benchmark for exact-diagonalization technique (also known as full
configuration interaction), which is found to slowly converge in the case of
strong interatomic attraction.Comment: To appear in Journal of Physics B: Atomic, Molecular and Optical
Physic
Pairing of few Fermi atoms in one dimension
We study a few Fermi atoms interacting through attractive contact forces in a
one-dimensional trap by means of numerical exact diagonalization. From the
combined analysis of energies and wave functions of correlated ground and
excited states we find evidence of BCS-like pairing even for very few atoms.
For moderate interaction strength, we reproduce the even-odd oscillation of the
separation energy observed in [G. Zuern, A. N. Wenz, S. Murmann, A.
Bergschneider, T. Lompe, and S. Jochim, Phys. Rev. Lett. 111, 175302 (2013)].
For strong interatomic attraction the arrangement of dimers in the trap differs
from the homogeneous case as a consequence of Pauli blockade in real space.Comment: Major revision to appear in Physical Review
Correlation Effects in Quantum Dot Wave Function Imaging
We demonstrate that in semiconductor quantum dots wave functions probed by
imaging techniques based on local tunneling spectroscopies like STM show
characteristic signatures of electron-electron Coulomb correlation. We predict
that such images correspond to ``quasi-particle'' wave functions which cannot
be computed by standard mean-field techniques (density functional theory,
Hartree-Fock) in the strongly correlated regime corresponding to low electron
density. From the configuration-interaction solution of the few-particle
problem for prototype dots, we find that quasi-particle wave function images
may display signatures of Wigner crystallization.Comment: Latex 2e + jjap2 style version 1.0. 4 pages, 3 postscript figures.
Submitted to the Japanese Journal of Applied Physics as Proceeding of STM05
Conference, Sapporo, Japan, July 3-8, 200
Coherent exciton transport in semiconductors
We review the topic of Bose-Einstein condensation of excitons in
semiconductors, focusing on the signatures of the macroscopic order of the
exciton condensate.Comment: Some references were updated with respect to the published version.
appears as Chapter 19 in Novel Superfluids Volume 2, edited by K. H.
Bennemann and J. B. Ketterson, International Series of Monographs on Physics
no. 157, pages 423-474 (Oxford University Press, Oxford, 2014
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