Dephasing in strongly disordered interacting quantum wires

نویسندگان

چکیده

Many-body localization is a fascinating theoretical concept describing the intricate interplay of quantum interference, i.e. localization, with many-body interaction induced dephasing. Numerous computational tests and also several experiments have been put forward to support basic concept. Typically, averages time-dependent global observables considered, such as charge imbalance. We here investigate within disordered spin-less Hubbard ($t-V$) model how dephasing manifests in time dependent variances observables. find that after quenching N\'eel state local density exhibits strong temporal fluctuations damping sensitive disorder $W$: decay power law manner, $t^{-\zeta}$, an exponent $\zeta(W)$ strongly varying $W$. A heuristic argument suggests form, $\zeta\approx\alpha(W)\xi_\text{sp}$, where $\xi_\text{sp}(W)$ denotes noninteracting length $\alpha(W)$ characterizes multifractal structure dynamically active volume fraction Hilbert space. In order elucidate correlations underlying mechanism, exact computations are compared results from Hartree-Fock approximation. Implications for experimentally relevant observables, imbalance, will be discussed.

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ژورنال

عنوان ژورنال: Physical Review B

سال: 2021

ISSN: ['1098-0121', '1550-235X', '1538-4489']

DOI: https://doi.org/10.1103/physrevb.103.085105