Berlin 2018 – scientific programme

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TT: Fachverband Tiefe Temperaturen

TT 40: Dual-Method Approaches to Quantum Many-Body Systems II

TT 40.7: Talk

Tuesday, March 13, 2018, 11:45–12:00, H 3010

Exact long time evolution of spinless fermion systems from a highly correlated initial state — •Kristof Harms, Lorenzo Cevolani, Stefan Kehrein, and Salvatore Manmana — Institut für Theoretische Physik, Universität Göttingen

Using time-dependent density matrix renormalization group (tDMRG), we analyze the time evolution of density-density correlations in one-dimensional spinless fermion systems after a global quench of the Hamiltonian. In particular, quenches to free fermion systems are considered. In this case, the time evolution can in fact be obtained exactly up to arbitrary times when providing the four-point propagators of the initial state, which are computed via DMRG at high accuracy. Taking this approach, we are able to both study the dynamics directly after the quench, as well as the long-time behavior. We obtain a ballistic lightcone structure and study the region outside in detail. For gapless initial states, we observe temporal oscillation outside the lightcone which we relate to the initial state and the dispersion relation of the quenched Hamiltonian.

Financial support by DFG CRC1073 (project B03) is gratefully acknowledged.