Simulations of the dynamics of quantum impurity problems with matrix product states
arxiv(2023)
摘要
The Anderson impurity model is a paradigmatic example in the study of
strongly correlated quantum systems and describes an interacting quantum dot
coupled to electronic leads. In this work, we characterize the emergence of the
Kondo effect by investigating the model dynamics following a quantum quench
based on matrix product state simulations. The relaxation of the impurity
magnetization allows for the estimate of the predicted universal scaling of the
Kondo temperature as a function of the impurity-lead hybridization and quantum
dot repulsion. Additionally, our simulations permit us to evaluate the current
in the nonequilibrium quasi-steady state appearing after the quench. Through
their values, we examine the dependence of the conductance on the voltage bias
V_b and on the impurity chemical potential V_g, which displays a zero-bias
Kondo peak. Our results are relevant for transport measurements in Coulomb
blockaded devices, and, in particular, in quantum dots induced in nanowires.
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关键词
quantum impurity problems,matrix
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