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Pechukas-Yukawa formalism for Landau-Zener transitions in the presence of external noise
journal contribution
posted on 2018-11-19, 11:00 authored by Mumnuna A. Qureshi, Johnny Zhong, Peter Mason, Joseph BetourasJoseph Betouras, Alexandre ZagoskinAlexandre ZagoskinQuantum 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.
History
School
- Science
Department
- Physics
Published in
Physical Review AVolume
98Issue
1Citation
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.Publisher
© American Physical SocietyVersion
- AM (Accepted Manuscript)
Publisher statement
This work is made available according to the conditions of the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0) licence. Full details of this licence are available at: https://creativecommons.org/licenses/by-nc-nd/4.0/Publication date
2018-07-23Notes
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.ISSN
2469-9926eISSN
2469-9934Publisher version
Language
- en