Coherent transfer by adiabatic passage in two-dimensional lattices
arXiv:1405.7325 · doi:10.1016/j.aop.2014.05.020
Abstract
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.
arXiv comment17 pages, 6 figures, to appear in Annals of Physics
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