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arXiv · 1706.01676

Quench-induced entanglement and relaxation dynamics in Luttinger liquids

Alessio Calzona·Filippo Maria Gambetta·Fabio Cavaliere·Matteo Carrega·Maura Sassetti
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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.

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Alessio Calzona, Filippo Maria Gambetta, Fabio Cavaliere, Matteo Carrega, Maura Sassetti. 2017-08-17. Quench-induced entanglement and relaxation dynamics in Luttinger liquids. https://doi.org/10.1103/physrevb.96.085423

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