Kadanoff-Baym equations with non-Gaussian initial conditions: The equilibrium limit
نویسندگان
چکیده
منابع مشابه
Kadanoff–baym Equations with Initial Correlations
The Kadanoff–Baym equations (KBE) are usually derived under the assumption of the weakening of initial correlations (Bogolyubov’s condition) and, therefore, fail to correctly describe the short time behavior. We demonstrate that this assumption is not necessary. Using functional derivatives techniques, we present a straightforward generalization of the KBE which allows to include arbitrary init...
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We show that the nonperturbative quantum transport equations, the ‘KadanoffBaym equations’, can be be understood as the ensemble average over stochastic equations of Langevin type. For this we couple a free scalar boson quantum field to an environmental heat bath with some given temperature T . The inherent presence of noise and dissipation related by the fluctuation-dissipation theorem guarant...
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While the use of Green’s function techniques has a long tradition in quantum chemistry, the possibility of propagating the Kadanoff-Baym equations has remained largely unexplored. We have implemented the time-propagation for atoms and diatomic molecules, starting from a system in the groundstate. The initial stage of the calculation requires solving the Dyson equation self-consistently for the ...
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We implement time propagation of the nonequilibrium Green function for atoms and molecules by solving the Kadanoff-Baym equations within a conserving self-energy approximation. We here demonstrate the usefulness of time propagation for calculating spectral functions and for describing the correlated electron dynamics in a nonperturbative electric field. We also demonstrate the use of time propa...
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We study the non-equilibrium dynamics of small, strongly correlated clusters, described by a Hubbard Hamiltonian, by propagating in time the Kadanoff-Baym equations within the HartreeFock, 2 Born, GW and T-matrix approximations. We compare the results to exact numerical solutions. We find that the T-matrix is overall superior to the other approximations, and is in good agreement with the exact ...
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ژورنال
عنوان ژورنال: Physical Review D
سال: 2009
ISSN: 1550-7998,1550-2368
DOI: 10.1103/physrevd.80.085011