Regensburg 2010 – scientific programme
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TT: Fachverband Tiefe Temperaturen
TT 27: CE: Poster Session
TT 27.53: Poster
Wednesday, March 24, 2010, 14:00–18:00, Poster D1
Non-equilibrium steady state in a periodically driven Kondo model — Markus Heyl and •Stefan Kehrein — Ludwig-Maximilians-Universität, Theresienstrasse 37, 80333 München
We investigate the Kondo model with time-dependent couplings that are periodically switched on and off. On the Toulouse line we solve the problem exactly by using bosonization and refermionization that are also suitable for the Kondo model out of equilibrium [1]. 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 becomes 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.
[1] D. Lobaskin and S. Kehrein, Phys. Rev. B 71, 193303 (2005).