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Quench-induced entanglement and relaxation dynamics in Luttinger liquids
- Source :
- Phys. Rev. B 96, 085423 (2017)
- Publication Year :
- 2017
-
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.<br />Comment: 11 pages, 3 figures
- Subjects :
- Condensed Matter - Strongly Correlated Electrons
Condensed Matter - Quantum Gases
Subjects
Details
- Database :
- arXiv
- Journal :
- Phys. Rev. B 96, 085423 (2017)
- Publication Type :
- Report
- Accession number :
- edsarx.1706.01676
- Document Type :
- Working Paper
- Full Text :
- https://doi.org/10.1103/PhysRevB.96.085423