Elsevier Masson, Annals of Physics, (348), p. 161-175
DOI: 10.1016/j.aop.2014.05.020
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Coherent tunneling by adiabatic passage (CTAP) is a well-established technique for robust spatial transport of quantum particles in linear chains. Here we introduce two exactly-solvable models where the CTAP protocol can be extended to two-dimensional lattice geometries. Such bi-dimensional lattice models are synthesized from time-dependent second-quantization Hamiltonians, in which the bosonic field operators evolve adiabatically like in an ordinary three-level CTAP scheme thus ensuring adiabatic passage in Fock space. ; Comment: 17 pages, 6 figures, to appear in Annals of Physics