[en] We investigate the time evolution towards the asymptotic steady state of a one-dimensional interacting system after a quantum quench. We show that at finite times the latter induces entanglement between right- and left-moving density excitations, encoded in their cross-correlators, which vanishes in the long-time limit. This behavior results in a universal time decay ∝t−2 of the system spectral properties, in addition to nonuniversal power-law contributions typical of Luttinger liquids. Importantly, we argue that the presence of quench-induced entanglement clearly emerges in transport properties, such as charge and energy currents injected in the system from a biased probe and determines their long-time dynamics. In particular, the energy fractionalization phenomenon turns out to be a promising platform to observe the universal power-law decay ∝t−2 induced by entanglement and represents a novel way to study the corresponding relaxation mechanism.
Disciplines :
Physics
Author, co-author :
Calzona, Alessio ✱; University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Physics and Materials Science Research Unit ; University of Genova ; SPIN-CNR Genova
Gambetta, Filippo Maria ✱; University of Genova ; SPIN-CNR Genova
Cavaliere, Fabio; University of Genova ; SPIN-CNR Genova
Carrega, Matteo; NEST, Istituto Nanoscienze-CNR and Scuola Normale Superiore, Pisa
Sassetti, Maura; Univeristy of Genova ; SPIN-CNR Genova
✱ These authors have contributed equally to this work.
External co-authors :
yes
Language :
English
Title :
Quench-induced entanglement and relaxation dynamics in Luttinger liquids