Reference : Quench-induced entanglement and relaxation dynamics in Luttinger liquids
Scientific journals : Article
Physical, chemical, mathematical & earth Sciences : Physics
Physics and Materials Science
Quench-induced entanglement and relaxation dynamics in Luttinger liquids
Calzona, Alessio* mailto [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.
Physical Review B
American Physical Society
Yes (verified by ORBilu)
[en] Luttinger liquid ; Quench ; Non-equilibrium ; Entanglement
[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.

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