QURESHI, M.A. ... et al, 2018. Pechukas-Yukawa formalism for Landau-Zener transitions in the presence of external noise. Physical Review A, 98 (1), 012128.
Quantum systems are prone to decoherence due to both intrinsic interactions as well as random fluctuations from the environment. Using the Pechukas-Yukawa formalism, we investigate the influence of noise on the dynamics of an adiabatically evolving Hamiltonian which can describe a quantum computer. Under this description, the level dynamics of a parametrically perturbed quantum Hamiltonian are mapped to the dynamics of one-dimensional classical gas. We show that our framework coincides with the results of the classical Landau-Zener transitions upon linearization. Furthermore, we determine the effects of external noise on the level dynamics and its impact on Landau-Zener transitions.
This paper was published in the journal Physical Review A and the definitive published version is available at https://doi.org/10.1103/PhysRevA.98.012128.