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Dresden 2011 – scientific programme

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TT: Fachverband Tiefe Temperaturen

TT 52: CE: Low-dimensional Systems - Models 1

TT 52.8: Talk

Thursday, March 17, 2011, 16:00–16:15, HSZ 105

Energy dynamics out of equilibrium in low dimensional quantum magnets — •Stephan Langer1, Markus Heyl1, Ian McCulloch2, and Fabian Heidrich-Meisner11Physics Department, Arnold Sommerfeld Center for Theoretical Physics, and Center for NanoScience, LMU München, Germany — 2School of physical Sciences, The University of Queensland, Brisbane, Australia

We investigate the real-time dynamics of the energy density in spin-1/2 chains and ladders, starting from initial states with an inhomogeneous profile of bond energies, extending our previous work on the dynamics of spin-density wave packets [1]. These simulations are carried out using the adaptive time-dependent density matrix renormalization group algorithm. We analyze the time-dependence of the spatial variance of the bond energies which yields necessary criteria for ballistic or diffusive energy dynamics. In the case of the XXZ chain, our results are consistent with ballistic behavior, both in the massless and the massive phase. For the massless regime, we compare our numerical results to predictions from bosonization for, e.g., the velocity that the initial perturbation spreads with. In the case of ladders, we find an involved dynamics whose qualitative interpretation is still under scrutiny.
Langer et al. Phys. Rev. B 79, 214409 (2009)

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