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Kamenev, A. I.; Lyakhov, A. B.

doi:10.1023/a:1022642622037

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Dual Perturbation Theory On the Keldysh Contour1

Path Integral Formalism1

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2011

2019

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Cited by 2 publications

(2 citation statements)

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“…This additional point has no other consequences and can be treated without any further problems. That is the reason why unlike in the work [28], the dimension of the time block in Example 1 is odd. Another issue in the inversion procedure can occur, if the off-diagonal elements ρ i b 0 and ρ bi 0 of the density matrix vanish.…”

Section: Dual Perturbation Theory On the Keldysh Contourmentioning

confidence: 93%

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Dual‐fermion approach to non‐equilibrium strongly correlated problems

et al. 2011

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We present a generalization of the recently developed dualfermion approach introduced for correlated lattices to nonequilibrium problems. In its local limit, the approach has been used to devise an efficient impurity solver, the superperturbation solver for the Anderson impurity model (AIM). Here we show that the general dual perturbation theory can be formulated on the Keldysh contour. Starting from a reference Hamiltonian system, in which the timedependent solution is found by exact diagonalization, we make a dual perturbation expansion in order to account for the relaxation effects from the fermionic bath. Simple test results for closed as well as open quantum systems in a fermionic bath are presented.

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Section: Dual Perturbation Theory On the Keldysh Contourmentioning

confidence: 93%

“…We start by deriving the Keldysh action following Kamenev [28] as it is most appropriate for our purposes. First we omit the interaction part and consider free electrons governed by the Hamiltonian H(ĉ † α ,ĉ β ) = αβ H αβĉ † αĉβ , where small Greek letters enumerate the single-particle states.…”

Section: Path Integral Formalismmentioning

confidence: 99%