Dresden 2017 – wissenschaftliches Programm
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TT: Fachverband Tiefe Temperaturen
TT 73: Correlated Electrons: Nonequilibrium Quantum Many-Body Systems 2
TT 73.5: Vortrag
Donnerstag, 23. März 2017, 16:00–16:15, HSZ 304
Out-of-equilibrium density dynamics of a quenched fermionic system — •Sergio Porta1, Filippo M. Gambetta1,2, Fabio Cavaliere1,2, Niccolò Traverso Ziani3, and Maura Sassetti1,2 — 1Università di Genova, Genova, Italy — 2SPIN-CNR, Genova, Italy — 3University of Würzburg, Würzburg, Germany
Using a Luttinger liquid theory we investigate the time evolution of the particle density of a one-dimensional fermionic system with open boundaries and subject to a finite duration quench of the inter-particle interaction. We provide analytical and asymptotic solutions to the unitary time evolution of the system, showing that both switching on and switching off the quench ramp create light-cone perturbations in the density. The post-quench dynamics is strongly affected by the interference between these two perturbations. In particular, we find that the discrepancy between the time-dependent density and the one obtained by a generalized Gibbs ensemble picture vanishes with an oscillatory behavior as a function of the quench duration, with local minima corresponding to a perfect overlap of the two light-cone perturbations. For adiabatic quenches, we also obtain a similar behavior in the approach of the generalized Gibbs ensemble density towards the one associated with the ground state of the final Hamiltonian.