Fast generation of spin-squeezed states in bosonic Josephson junctions
Quantum Gases
2012-12-20 v2 Other Condensed Matter
Abstract
We describe methods for fast production of highly coherent-spin-squeezed many-body states in bosonic Josephson junctions (BJJs). We start from the known mapping of the two-site Bose-Hubbard (BH) Hamiltonian to that of a single effective particle evolving according to a Schr\"odinger-like equation in Fock space. Since, for repulsive interactions, the effective potential in Fock space is nearly parabolic, we extend recently derived protocols for shortcuts to adiabatic evolution in harmonic potentials to the many-body BH Hamiltonian. The best scaling of the squeezing parameter for large number of atoms N is \xi^2_S ~ 1/N.
Keywords
Cite
@article{arxiv.1207.1483,
title = {Fast generation of spin-squeezed states in bosonic Josephson junctions},
author = {B. Juliá-Díaz and E. Torrontegui and J. Martorell and J. G. Muga and A. Polls},
journal= {arXiv preprint arXiv:1207.1483},
year = {2012}
}
Comments
Improved and enlarged version, accepted at Phys. Rev. A