Dynamical matrix for arbitrary quadratic fermionic bath Hamiltonians and non-Markovian dynamics of one and two qubits in an Ising model environment

作者：Iemini Fernando^*; Souza Leonardo da Silva; Debarba Tiago; Cesario Andre T; Maciel Thiago O; Vianna Reinaldo O

来源：European Physical Journal D, 2017, 71(5): 119.

DOI：10.1140/epjd/e2017-70671-3

We obtain the analytical expression for the Kraus decomposition of the quantum map of an environment modeled by an arbitrary quadratic fermionic Hamiltonian acting on one or two qubits, and derive simple functions to check the non-positivity of the intermediate map. These functions correspond to two different sufficient criteria for non-Markovianity. In the particular case of an environment represented by the Ising Hamiltonian, we discuss the two sources of non-Markovianity in the model, one due to the finite size of the lattice, and another due to the kind of interactions.

• 出版日期2017-5-23