Volosniev, A. G.3; Petrosyan, D.5; Valiente, M.4; Fedorov, D. V.6; Jensen, A. S.6; Zinner, Nikolaj Thomas6
1 Department of Physics and Astronomy, Science and Technology, Aarhus University2 Aarhus Institute of Advanced Studies, Centers at the university level, Aarhus University3 Department of Physics and Astronomy, Faculty of Science, Aarhus University, Aarhus University4 unknown5 Aarhus Institute of Advanced Studies, Centers at the university level, Aarhus University6 Department of Physics and Astronomy, Science and Technology, Aarhus University
We consider a one-dimensional gas of cold atoms with strong contact interactions and construct an effective spin-chain Hamiltonian for a two-component system. The resulting Heisenberg spin model can be engineered by manipulating the shape of the external confining potential of the atomic gas. We find that bosonic atoms offer more flexibility for tuning independently the parameters of the spin Hamiltonian through interatomic (intra-species) interaction which is absent for fermions due to the Pauli exclusion principle. Our formalism can have important implications for control and manipulation of the dynamics of few- and many-body quantum systems; as an illustrative example relevant to quantum computation and communication, we consider state transfer in the simplest non-trivial system of four particles representing exchange-coupled qubits.
Physical Review a (atomic, Molecular and Optical Physics), 2015, Vol 91, Issue 2