2017/06/30 by Alessio Calzona, Filippo Maria Gambetta, Fabio Cavaliere +2
Physics and Astronomy · #Charge (physics) #Condensed matter physics #Dynamics (music) #Fractionalization #Law #Luttinger liquid #Physics #Physics of Superconductivity and Magnetism #Quantum #Quantum and electron transport phenomena #Quantum entanglement #Quantum many-body systems #Quantum mechanics #Relaxation (psychology) #Time evolution #cond-mat.quant-gas #cond-mat.str-el
paper · pdf · doi:10.1103/physrevb.96.085423
published as Phys. Rev. B 96, 085423 (2017) · 11 pages, 3 figures
openalex publication_date 2017/08/16 · arxiv created 2017/08/17 · arxiv updated 2017/08/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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 \ensuremath∝t^\ensuremath-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 \ensuremath∝t^\ensuremath-2 induced by entanglement and represents a novel way to study the corresponding relaxation mechanism.