Entanglement growth and correlation spreading with variable-range interactions in spin and fermionic tunneling models

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Buyskikh, Anton and Fagotti, Maurizio and Schachenmayer, Johannes and Essler, Fabian and Daley, Andrew J. (2016) Entanglement growth and correlation spreading with variable-range interactions in spin and fermionic tunneling models. Physical Review A, 93 (5). 053620. ISSN 2469-9934 (https://doi.org/10.1103/PhysRevA.93.053620)

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Abstract

We investigate the dynamics following a global parameter quench for two one-dimensional models with variable-range power-law interactions: a long-range transverse Ising model, which has recently been realized in chains of trapped ions, and a long-range lattice model for spinless fermions with long-range tunneling. For the transverse Ising model, the spreading of correlations and growth of entanglement are computed using numerical matrix product state techniques, and are compared with exact solutions for the fermionic tunneling model. We identify transitions between regimes with and without an apparent linear light cone for correlations, which correspond closely between the two models. For long-range interactions, we find that despite the lack of a light cone, correlations grow slowly as a power law at short times, and that—depending on the structure of the initial state—the growth of entanglement can also be sublinear. These results are understood through analytical calculations, and should be measurable in experiments with trapped ions.

ORCID iDs

Buyskikh, Anton ORCID logoORCID: https://orcid.org/0000-0003-4542-7086, Fagotti, Maurizio, Schachenmayer, Johannes, Essler, Fabian and Daley, Andrew J. ORCID logoORCID: https://orcid.org/0000-0001-9005-7761;
  • Item type:Article
    ID code:56854
    Dates:
    Date
    Event
    23 May 2016
    Published
    16 April 2016
    Accepted
    Subjects:Science > Physics
    Department:Faculty of Science > Physics
    Depositing user: Pure Administrator
    Date deposited:06 Jul 2016 11:30
    Last modified:12 Dec 2024 04:31
    URI:https://strathprints.strath.ac.uk/id/eprint/56854
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