Scaling approach for the time-dependent Kondo model

Abstract

We present a new nonperturbative method to deal with the time-dependent quantum many-body problem, which is an extension of Wegner's flow equations to time-dependent Hamiltonians. The formalism provides a scaling procedure for the set of time-dependent interaction constants. We apply these ideas to a Kondo model with a ferromagnetic exchange coupling switched on over a time scale $\tau$. We show that the asymptotic expectation value of the impurity spin interpolates continuously between its quenched and adiabatic value.

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Cited by in corpus (15)

• Accurate effective Hamiltonians via unitary flow in Floquet space
• A flow equation approach to periodically driven quantum systems
• Solving quantum impurity problems in and out of equilibrium with variational approach
• Variational principle for quantum impurity systems in and out of equilibrium: application to Kondo problems
• A quantum resonance catastrophe for transport through an AC driven impurity
• Local Integrals of Motion in Quasiperiodic Many-Body Localized Systems
• Analogue of Hamilton-Jacobi theory for the time-evolution operator
• Time evolution during and after finite-time quantum quenches in Luttinger liquids
• Flow Equations for Disordered Floquet Systems
• Local integrals of motion and the stability of many-body localisation in Wannier-Stark potentials
• Flow-equation approach to quantum systems driven by an amplitude-modulated time-periodic force
• Transport through a magnetic impurity: a slave-spin approach
• Disorder-induced spin-charge separation in the 1-D Hubbard model
• Suppression of scattering from slow to fast subsystems and application to resonantly Floquet-driven impurities in strongly interacting systems
• Dynamic response of a single-electron transistor in the ac Kondo regime