1Pritzker School of Molecular Engineering, University of Chicago, Chicago, IL, USA
2National Center for Computational Sciences, Oak Ridge National Laboratory, TN 37831, USA
3Department of Physics and Astronomy, Northwestern University, Evanston, IL 60208, USA
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Abstract
Driven quantum systems subject to non-Markovian noise are typically difficult to model even if the noise is classical. We present a systematic method based on generalized cumulant expansions for deriving a time-local master equation for such systems. This master equation has an intuitive form that directly parallels a standard Lindblad equation, but contains several surprising features: the combination of driving and non-Markovianity results in effective time-dependent dephasing rates that can be negative, and the noise can generate Hamiltonian renormalizations even though it is classical. We analyze in detail the highly relevant case of a Rabi-driven qubit subject to various kinds of non-Markovian noise including $1/f$ fluctuations, finding an excellent agreement between our master equation and numerically-exact simulations over relevant timescales. The approach outlined here is more accurate than commonly employed phenomenological master equations which ignore the interplay between driving and noise.
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Cited by
[1] Evangelos Vlachos, Haimeng Zhang, Vivek Maurya, Jeffrey Marshall, Tameem Albash, and E. M. Levenson-Falk, “Master equation emulation and coherence preservation with classical control of a superconducting qubit”, Physical Review A 106 6, 062620 (2022).
[2] Alessio Paviglianiti, Soumik Bandyopadhyay, Philipp Uhrich, and Philipp Hauke, “Absence of operator growth for average equal-time observables in charge-conserved sectors of the Sachdev-Ye-Kitaev model”, Journal of High Energy Physics 2023 3, 126 (2023).
[3] Ziwen Huang, Yunwei Lu, Anna Grassellino, Alexander Romanenko, Jens Koch, and Shaojiang Zhu, “Completely Positive Map for Noisy Driven Quantum Systems Derived by Keldysh Expansion”, arXiv:2303.11491, (2023).
The above citations are from SAO/NASA ADS (last updated successfully 2023-04-07 01:36:26). The list may be incomplete as not all publishers provide suitable and complete citation data.
On Crossref’s cited-by service no data on citing works was found (last attempt 2023-04-07 01:36:25).
This Paper is published in Quantum under the Creative Commons Attribution 4.0 International (CC BY 4.0) license. Copyright remains with the original copyright holders such as the authors or their institutions.
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