Citation:
Juliá-Díaz, B., Torrontegui, E., Martorell, J., Muga, J. G. y Polls, A. (2012). Fast generation of spin-squeezed states in bosonic Josephson junctions. Physical Review A, 86(6).
Sponsor:
The authors thank M. Oberthaler and T. Zibold for useful comments and discussions. This work has been supported by FIS2008-01661, 2009-SGR1289, IT472-10, FIS2009-12773-C02-01, FIS2008-00784 TOQATA, and the UPV/EHU under program UFI 11/55. B.J.-D. is supported by the Ramón y Cajal program. E.T. acknowledges financial support from the Basque Government (Grant No. BFI08.151).
We describe methods for the fast production of highly coherent-spin-squeezed many-body states in bosonic Josephson junctions. We start from the known mapping of the two-site Bose-Hubbard (BH) Hamiltonian to that of a single effective particle evolving accordinWe describe methods for the fast production of highly coherent-spin-squeezed many-body states in bosonic Josephson junctions. 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 Schrödinger-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. A comparison with current experiments shows that our methods allow for an important reduction in the preparation times of highly squeezed spin states.[+][-]