Berlin 2008 – scientific programme
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DY: Fachverband Dynamik und Statistische Physik
DY 31: Quantum dynamics, decoherence and quantum information
DY 31.7: Talk
Friday, February 29, 2008, 11:45–12:00, MA 004
Evolution of Correlation Functions in a System of Strongly Correlated Fermions after a Quantum Quench — •Salvatore R. Manmana1, Stefan Wessel2, Reinhard M. Noack3, and Alejandro Muramatsu2 — 1Institute of Theoretical Physics (CTMC), EPF Lausanne, CH-1015 Lausanne, Switzerland — 2Institut für Theoretische Physik III, Universität Stuttgart, Pfaffenwaldring 57/V, D-70550 Stuttgart, Germany — 3AG Vielteilchennumerik, Fachbereich Physik, Philipps-Universität Marburg, D-35032 Marburg, Germany
We investigate the full time evolution of the density-density correlation function in a system of strongly correlated interacting spinless fermions on a one-dimensional lattice after a quantum quench, i.e., after suddenly changing the strength of the interaction between the particles [1]. Using the adaptive time-dependent density matrix renormalization group method (adaptive t-DMRG), we identify a horizon effect for specific parameters of the quench, confirming the expectation put forward by Calabrese and Cardy [2] based on conformal field theory (CFT) arguments. This effect is clearly visible when quenching into the critical regime, while it does not appear for a quench to the insulating regime.
[1] S.R. Manmana, S. Wessel, R.M. Noack, and A. Muramatsu,
Phys. Rev. Lett. 98, 210405 (2007).
[2] P. Calabrese and J. Cardy, Phys. Rev. Lett. 96, 136801 (2006).