Quench-induced entanglement and relaxation dynamics in Luttinger liquids

Abstract

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 time 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 in system spectral properties $\propto t^{-2}$, in addition to non-universal 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, energy fractionalization phenomenon turns out to be a promising platform to observe the universal power-law decay $\propto t^{-2}$ induced by entanglement and represents a novel way to study the corresponding relaxation mechanism.

11 pages, 3 figures

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Cited by in corpus (4)

• Non-monotonic response and light-cone freezing in gapless-to-(partially) gapped quantum quenches of fermionic systems
• Entanglement prethermalization in the Tomonaga-Luttinger model
• Non-thermal Tomonaga-Luttinger liquid eventually emerging from hot electrons in the quantum Hall regime
• Quench-Probe Setup as Analyzer of Fractionalized Entanglement Spreading