Regensburg 2019 – scientific programme

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DY: Fachverband Dynamik und Statistische Physik

DY 4: Nonequilibrium Quantum Many-Body Systems 1 (joint session TT/DY)

DY 4.7: Talk

Monday, April 1, 2019, 11:15–11:30, H22

Inhomogeneous quench on the Bethe lattice — •Marc Alexander and Marcus Kollar — Theoretische Physik III, Universität Augsburg

An abrupt change of the on-site energy for a single site in a one-dimensional non-interacting tight-binding model generates dynamical Friedel oscillations of the disturbed Fermi sea [1]. In order to study this phenomenon in higher dimensions we obtain exact time evolution for such an inhomogeneous quench for a Bethe lattice with arbitrary coordination number. We use the exact eigenstates of finite Cayley trees without [2,3] or with an impurity at the central site. For the Bethe lattice with infinite coordination number we observe dynamical Friedel oscillations with two qualitative different long-time limits depending on the strength of the impurity potential.
J. M. Zhang and Y. Liu, Phys. Rev. B. 97, 075151 (2018)

[2] M. van den Berg et al., J. Stat. Phys. 69, 307 (1992)

[3] G. D. Mahan, Phys. Rev. B 63, 155110 (2001)