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- W3102431116 abstract "Here we show how, in the ultra-strongly-coupled spin-boson model, apparently unphysical Matsubara modes are required not only to regulate detailed balance, but also to arrive at a correct and physical description of the non-perturbative dynamics and steady-state. In particular, in the zero-temperature limit, we show that neglecting the Matsubara modes results in an erroneous emission of virtual photons from the collective ground state. To explore this difficult-to-model regime we start by using a non-perturbative hierarchical equations of motion (HEOM) approach, based on a partial fitting of the bath correlation-function which takes into account the infinite sum of Matsubara frequencies using only a biexponential function. We compare the HEOM method to both a pseudo-mode model, and the reaction coordinate (RC) mapping, which help explain the nature of the aberrations observed when Matsubara frequencies are neglected. For the pseudo-mode method we present a general proof of validity, which allows for negative Matsubara-contributions to the decomposition of the bath correlation functions to be described by zero-frequency Matsubara-modes with non-Hermitian coupling to the system. The latter obey a non-Hermitian pseudo-Schrodinger equation, ultimately justifying why superficially unphysical modes can give rise to physical system behavior." @default.
- W3102431116 created "2020-11-23" @default.
- W3102431116 creator A5034815053 @default.
- W3102431116 creator A5039137903 @default.
- W3102431116 creator A5048800312 @default.
- W3102431116 creator A5085305169 @default.
- W3102431116 date "2019-08-19" @default.
- W3102431116 modified "2023-10-15" @default.
- W3102431116 title "Modelling the ultra-strongly coupled spin-boson model with unphysical modes" @default.
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- W3102431116 doi "https://doi.org/10.1038/s41467-019-11656-1" @default.
- W3102431116 hasPubMedCentralId "https://www.ncbi.nlm.nih.gov/pmc/articles/6700178" @default.
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- W3102431116 hasPublicationYear "2019" @default.
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