Entanglement growth in quench dynamics with variable range interactions

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Schachenmayer, J. and Lanyon, B. P. and Roos, C. F. and Daley, A. J. (2013) Entanglement growth in quench dynamics with variable range interactions. Physical Review X, 3 (3). 031015. ISSN 2160-3308 (https://doi.org/10.1103/PhysRevX.3.031015)

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Abstract

Studying entanglement growth in quantum dynamics provides both insight into the underlying microscopic processes and information about the complexity of the quantum states, which is related to the efficiency of simulations on classical computers. Recently, experiments with trapped ions, polar molecules, and Rydberg excitations have provided new opportunities to observe dynamics with long-range interactions. We explore nonequilibrium coherent dynamics after a quantum quench in such systems, identifying qualitatively different behavior as the exponent of algebraically decaying spin-spin interactions in a transverse Ising chain is varied. Computing the buildup of bipartite entanglement as well as mutual information between distant spins, we identify linear growth of entanglement entropy corresponding to propagation of quasiparticles for shorter-range interactions, with the maximum rate of growth occurring when the Hamiltonian parameters match those for the quantum phase transition. Counterintuitively, the growth of bipartite entanglement for long-range interactions is only logarithmic for most regimes, i.e., substantially slower than for shorter-range interactions. Experiments with trapped ions allow for the realization of this system with a tunable interaction range, and we show that the different phenomena are robust for finite system sizes and in the presence of noise. These results can act as a direct guide for the generation of large-scale entanglement in such experiments, towards a regime where the entanglement growth can render existing classical simulations inefficient.

ORCID iDs

Schachenmayer, J., Lanyon, B. P., Roos, C. F. and Daley, A. J. ORCID logoORCID: https://orcid.org/0000-0001-9005-7761;
  • Item type:Article
    ID code:51148
    Dates:
    Date
    Event
    13 October 2013
    Published
    9 August 2013
    Accepted
    Subjects:Science > Physics
    Department:Faculty of Science > Physics
    Depositing user: Pure Administrator
    Date deposited:19 Jan 2015 10:55
    Last modified:02 Dec 2024 05:12
    Related URLs:
    URI:https://strathprints.strath.ac.uk/id/eprint/51148
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