Dynamical matrix for arbitrary quadratic fermionic bath Hamiltonians and non-Markovian dynamics of one and two qubits in an Ising model environment
Quantum Physics
2017-05-23 v2
Abstract
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.
Keywords
Cite
@article{arxiv.1507.02267,
title = {Dynamical matrix for arbitrary quadratic fermionic bath Hamiltonians and non-Markovian dynamics of one and two qubits in an Ising model environment},
author = {Fernando Iemini and Leonardo da Silva Souza and Tiago Debarba and Andre T. Cesário and Thiago O. Maciel and Reinaldo O. Vianna},
journal= {arXiv preprint arXiv:1507.02267},
year = {2017}
}
Comments
11 pages, 10 figures