Long-range Heisenberg models in quasiperiodically driven crystals of trapped ions

Bermudez, A. and Tagliacozzo, L. and Sierra, G. and Richerme, P. (2017) Long-range Heisenberg models in quasiperiodically driven crystals of trapped ions. Physical Review B (Condensed Matter), 95 (2). ISSN 0163-1829 (https://doi.org/10.1103/PhysRevB.95.024431)

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Abstract

We introduce a theoretical scheme for the analog quantum simulation of long-range XYZ models using current trapped-ion technology. In order to achieve fully-tunable Heisenberg-type interactions, our proposal requires a state-dependent dipole force along a single vibrational axis, together with a combination of standard resonant and detuned carrier drivings. We discuss how this quantum simulator could explore the effect of longrange interactions on the phase diagram by combining an adiabatic protocol with the quasi-periodic drivings, and test the validity of our scheme numerically. At the isotropic Heisenberg point, we show that the long-range Hamiltonian can be mapped onto a non-linear sigma model with a topological term that is responsible for its low-energy properties, and we benchmark our predictions with Matrix-Product-State numerical simulations.

ORCID iDs

Bermudez, A., Tagliacozzo, L. ORCID logoORCID: https://orcid.org/0000-0002-5858-1587, Sierra, G. and Richerme, P.;
  • Item type:Article
    ID code:59599
    Dates:
    Date
    Event
    30 January 2017
    Published
    9 January 2017
    Accepted
    Notes:©2017 American Physical Society Bermudez, A., Tagliacozzo, L., Sierra, G., & Richerme, P. (2017). Long-range Heisenberg models in quasiperiodically driven crystals of trapped ions. Physical Review B (Condensed Matter).
    Subjects:Science > Physics
    Department:Faculty of Science > Physics
    Depositing user: Pure Administrator
    Date deposited:25 Jan 2017 15:34
    Last modified:11 Nov 2024 11:36
    Related URLs:
    URI:https://strathprints.strath.ac.uk/id/eprint/59599
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