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- W2756409301 abstract "The Born-Markov approximation is widely used to study dynamics of open quantum systems coupled to external baths. Using Keldysh formalism, we show that the dynamics of a system of bosons (fermions) linearly coupled to non-interacting bosonic (fermionic) bath falls outside this paradigm if the bath spectral function has non-analyticities as a function of frequency. In this case, we show that the dissipative and noise kernels governing the dynamics have distinct power law tails. The Green's functions show a short time quasi Markovian exponential decay before crossing over to a power law tail governed by the non-analyticity of the spectral function. We study a system of bosons (fermions) hopping on a one dimensional lattice, where each site is coupled linearly to an independent bath of non-interacting bosons (fermions). We obtain exact expressions for the Green's functions of this system which show power law decay $sim |t-t'|^{-3/2}$. We use these to calculate density and current profile, as well as unequal time current-current correlators. While the density and current profiles show interesting quantitative deviations from Markovian results, the current-current correlators show qualitatively distinct long time power law tails $|t-t'|^{-3}$ characteristic of non-Markovian dynamics. We show that the power law decays survive in presence of inter-particle interaction in the system, but the cross-over time scale is shifted to larger values with increasing interaction strength." @default.
- W2756409301 created "2017-09-25" @default.
- W2756409301 creator A5040343011 @default.
- W2756409301 creator A5057928381 @default.
- W2756409301 date "2018-03-16" @default.
- W2756409301 modified "2023-10-18" @default.
- W2756409301 title "Power-law tails and non-Markovian dynamics in open quantum systems: An exact solution from Keldysh field theory" @default.
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- W2756409301 doi "https://doi.org/10.1103/physrevb.97.104306" @default.
- W2756409301 hasPublicationYear "2018" @default.
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