Numerical operator method for the real time dynamics of strongly-correlated quantum impurity systems far from equilibrium

Abstract

We develop a method for studying the real time dynamics of Heisenberg operators in strongly-interacting nonequilibrium quantum impurity models. Our method is applicable to a wide range of interaction strengths and to bias voltages beyond the linear response regime, works at zero temperature, and overcomes the finite-size limitations faced by other numerical methods. We compare our method with quantum Monte Carlo simulations at a strong interaction strength, at which no analytical method is applicable up to now. We find a very good coincidence of the results at high bias voltage, and in the short time period at low bias voltage. We discuss the possible reason of the deviation in the long time period at low bias voltage. We also find a good coincidence of our results with the perturbation results at weak interactions.

arXiv comment10 pages, 4 figures

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Cited by in corpus (3)

• Transport through an Anderson impurity: Current ringing, non-linear magnetization and a direct comparison of continuous-time quantum Monte Carlo and hierarchical quantum master equations
• Imaginary-time matrix product state impurity solver for dynamical mean-field theory
• Dynamics of Kondo voltage splitting after a quantum quench