Atypical energy eigenstates in the Hubbard chain and quantum disentangled liquids
arXiv:1711.02738 · doi:10.1098/rsta.2016.0433
Abstract
We investigate the implications of integrability for the existence of quantum disentangled liquid (QDL) states in the half-filled one-dimensional Hubbard model. We argue that there exist finite energy-density eigenstates that exhibit QDL behaviour in the sense of J. Stat. Mech. P10010 (2014). These states are atypical in the sense that their entropy density is smaller than that of thermal states at the same energy density. Furthermore, we show that thermal states in a particular temperature window exhibit a weaker form of the QDL property, in agreement with recent results obtained by strong-coupling expansion methods in arXiv:1611.02075. This article is part of the themed issue `Breakdown of ergodicity in quantum systems: from solids to synthetics matter'.
11 pages, 3 figures. arXiv admin note: text overlap with arXiv:1611.02075
References in corpus (6)
- Localization of interacting fermions at high temperature
- Phenomenology of fully many-body-localized systems
- Non-equilibrium coherence dynamics in one-dimensional Bose gases
- Generalized Thermalization in an Integrable Lattice System
- Critical Dynamics of Spontaneous Symmetry Breaking in a Homogeneous Bose gas
- Thermodynamics of the one-dimensional half-filled Hubbard model in the spin-disordered regime