Puig von Friesen M, Verdozzi C, Almbladh CO. Successes and failures of Kadanoff-Baym dynamics in Hubbard nanoclusters.
PHYSICAL REVIEW LETTERS 2009;
103:176404. [PMID:
19905776 DOI:
10.1103/physrevlett.103.176404]
[Citation(s) in RCA: 14] [Impact Index Per Article: 0.9] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 05/05/2009] [Indexed: 05/28/2023]
Abstract
We study the nonequilibrium dynamics of small, strongly correlated clusters, described by a Hubbard Hamiltonian, by propagating in time the Kadanoff-Baym equations within the Hartree-Fock, second Born, GW, and T-matrix approximations. We compare the results to exact numerical solutions. We find that the time-dependent T matrix is overall superior to the other approximations, and is in good agreement with the exact results in the low-density regime. In the long time limit, the many-body approximations attain an unphysical steady state which we attribute to the implicit inclusion of infinite-order diagrams in a few-body system.
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