Real-time energy dynamics in spin-1/2 Heisenberg chains

Details Real-time energy dynamics in spin-1/2 Heisenberg chains Real-time energy dynamics in spin-1/2 Heisenberg chains

2011-07-20

arxiv.org/abs/1107.4136v2

Phys. Rev. B 84, 205115 (2011)

Physics

Condensed Matter

Strongly Correlated Electrons

15 pages, 21 figures, version as published, minor stylistic changes

Scientific paper

10.1103/PhysRevB.84.205115

We study the real-time dynamics of the local energy density in the spin-1/2 XXZ chain starting from initial states with an inhomogeneous profile of bond energies. Numerical simulations of the dynamics of the initial states are carried out using the adaptive time-dependent density matrix renormalization group method. We analyze the time dependence of the spatial variance associated with the local energy density to classify the dynamics as either ballistic or diffusive. Our results are consistent with ballistic behavior both in the massless and the massive phase. We also study the same problem within Luttinger Liquid theory and obtain that energy wave-packets propagate with the sound velocity. We recover this behavior in our numerical simulations in the limit of very weakly perturbed initial states.

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