Non-equilibrium steady state in a periodically driven Kondo model

Details Non-equilibrium steady state in a periodically driven Kondo model Non-equilibrium steady state in a periodically driven Kondo model

2009-11-11

arxiv.org/abs/0911.2130v2

Phys. Rev. B 81, 144301 (2010)

Physics

Condensed Matter

Strongly Correlated Electrons

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

Scientific paper

10.1103/PhysRevB.81.144301

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.

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