Non-equilibrium steady state in a periodically driven Kondo model

Abstract

We investigate the Kondo model with time-dependent couplings that are periodically switched on and off. On the Toulouse line we derive exact analytical results for the spin dynamics in the steady state that builds up after an infinite number of switching periods. Remarkably, the algebraic long time behavior of the spin-spin correlation function remains completely unaffected by the driving. In the limit of slow driving the dynamics become equivalent to that of a single interaction quench. In the limit of fast driving one can show that the steady state cannot be described by some effective equilibrium Hamiltonian since a naive implementation of the Trotter formula gives wrong results. As a consequence, the steady state in the limit of fast switching serves as an example for the emergence of new quantum states not accessible in equilibrium.

13 pages, 4 figures; minor changes, version as published

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Cited by in corpus (17)

• Universal High-Frequency Behavior of Periodically Driven Systems: from Dynamical Stabilization to Floquet Engineering
• Many-body energy localization transition in periodically driven systems
• Laser-induced Kondo effect in ultracold alkaline-earth fermions
• Floquet Engineering of Haldane Chern Insulators and Chiral bosonic phase transitions
• Time evolution of the Kondo resonance in response to a quench
• Parametric instability in periodically driven Luttinger liquids
• Coherent control of correlated nanodevices: A hybrid time-dependent numerical renormalization-group approach to periodic switching
• Renormalization in periodically driven quantum dots
• Effects of local periodic driving on transport and generation of bound states
• Observation of a non-equilibrium steady state of cold atoms in a moving optical lattice
• Quantum quenches and driven dynamics in a single-molecule device
• Coherent Transport of Levitons Through the Kondo Resonance
• Correlation versus dissipation in a non-Hermitian Anderson impurity model
• Periodically-driven Kondo impurity in nonequilibrium steady states
• Cavity-enhanced Kondo effect
• Design and benchmarks for emulating Kondo dynamics on a quantum chip
• Dynamic response of a single-electron transistor in the ac Kondo regime