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High accuracy steady states obtained from the Universal Lindblad Equation

Nathan, Frederik and Rudner, Mark S. (2022) High accuracy steady states obtained from the Universal Lindblad Equation. . (Unpublished) https://resolver.caltech.edu/CaltechAUTHORS:20220707-204116791

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Abstract

We show that the universal Lindblad equation (ULE) captures steady-state expectation values of observables up to rigorously bounded corrections that scale linearly with the system-bath coupling, Γ. We moreover identify a simple quasilocal transformation, whose application guarantees a relative deviation generically scaling to zero with Γ, even for observables such as currents whose steady-state values themselves vanish in the weak coupling limit. This result provides a solution to recently identified limitations on the accuracy of Lindblad-form master equations, which imply significan't relative errors for observables whose steady-state values vanish with Γ, while most generic observables are otherwise captured faithfully. The transformation allows for high-fidelity computation of sensitive observables while retaining the stability and physicality of a Lindblad-form master equation.


Item Type:Report or Paper (Discussion Paper)
Related URLs:
URLURL TypeDescription
https://doi.org/10.48550/arXiv.2206.02917arXivDiscussion Paper
ORCID:
AuthorORCID
Nathan, Frederik0000-0001-9700-0231
Rudner, Mark S.0000-0002-5150-6234
Additional Information:We would like to thank A. Dhar, G. Kirsanskas, M. Kulkarni, M. Leijnse, A. Purkayastha, and D. Tupkary for helpful and clarifying discussions and for pointing out the limitations of the ULE (and Lindblad equations in general), which we address in the present work. F.N. and M.R. gratefully acknowledge the support of Villum Foundation, the European Research Council (ERC) under the European Union Horizon 2020 Research and Innovation Programme (Grant Agreement No. 678862), and CRC 183 of the Deutsche Forschungsgemeinschaft. F.N. acknowledges support from the U.S. Department of Energy, Office of Science, Basic Energy Sciences under award DE-SC0019166 and the Simons Foundation under award 623768.
Group:Institute for Quantum Information and Matter
Funders:
Funding AgencyGrant Number
Villum FoundationUNSPECIFIED
European Research Council (ERC)678862
Deutsche Forschungsgemeinschaft (DFG)CRC 183
Department of Energy (DOE)DE-SC0019166
Simons Foundation623768
Record Number:CaltechAUTHORS:20220707-204116791
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20220707-204116791
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:115409
Collection:CaltechAUTHORS
Deposited By: George Porter
Deposited On:08 Jul 2022 22:26
Last Modified:08 Jul 2022 22:26

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